Chapter 2: Place Value and Number Representation
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Place Value and Number Representation in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
2.1 Place-value charts
Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Option A costs $8 for 3 items. Option B costs $3 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 2
Problem: Option A costs $11 for 5 items. Option B costs $4 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 3
Problem: Option A costs $5 for 1 items. Option B costs $11 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 4
Problem: Option A costs $2 for 3 items. Option B costs $5 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 5
Problem: Option A costs $7 for 5 items. Option B costs $12 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 6
Problem: Option A costs $10 for 5 items. Option B costs $3 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 7
Problem: Option A costs $7 for 5 items. Option B costs $9 for 1 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 8
Problem: Option A costs $9 for 5 items. Option B costs $6 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 9
Problem: Option A costs $5 for 1 items. Option B costs $6 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 10
Problem: Option A costs $2 for 4 items. Option B costs $3 for 5 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Practice Exercise
Create and solve one new example of Place-value charts. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.2 Value of a digit
Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Option A costs $5 for 1 items. Option B costs $9 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 2
Problem: Option A costs $3 for 2 items. Option B costs $4 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 3
Problem: Option A costs $7 for 5 items. Option B costs $10 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 4
Problem: Option A costs $12 for 2 items. Option B costs $9 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 5
Problem: Option A costs $11 for 1 items. Option B costs $6 for 1 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 6
Problem: Option A costs $9 for 1 items. Option B costs $6 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 7
Problem: Option A costs $12 for 2 items. Option B costs $10 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 8
Problem: Option A costs $3 for 1 items. Option B costs $4 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 9
Problem: Option A costs $2 for 4 items. Option B costs $3 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 10
Problem: Option A costs $5 for 5 items. Option B costs $8 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Practice Exercise
Create and solve one new example of Value of a digit. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.3 Digit versus number value
Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Option A costs $11 for 5 items. Option B costs $8 for 1 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 2
Problem: Option A costs $10 for 5 items. Option B costs $5 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 3
Problem: Option A costs $6 for 4 items. Option B costs $4 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 4
Problem: Option A costs $6 for 2 items. Option B costs $2 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 5
Problem: Option A costs $2 for 4 items. Option B costs $6 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 6
Problem: Option A costs $7 for 4 items. Option B costs $12 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 7
Problem: Option A costs $11 for 3 items. Option B costs $7 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 8
Problem: Option A costs $3 for 2 items. Option B costs $9 for 5 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 9
Problem: Option A costs $7 for 4 items. Option B costs $8 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 10
Problem: Option A costs $4 for 5 items. Option B costs $11 for 5 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Practice Exercise
Create and solve one new example of Digit versus number value. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.4 Standard form and expanded form
Standard form and expanded form is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 16 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 2
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 18 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 3
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 20 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 4
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 10 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 5
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 18 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 6
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 16 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 7
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 11 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 8
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 7 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 9
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 5 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Worked Example 10
Problem: Create a simple Grade 4 example about Standard form and expanded form using the numbers 8 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Standard form and expanded form.
Practice Exercise
Create and solve one new example of Standard form and expanded form. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.5 Word form and numeral form
Word form and numeral form is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 12 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 2
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 4 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 3
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 12 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 4
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 10 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 5
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 8 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 6
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 6 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 7
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 3 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 8
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 10 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 9
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 17 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Worked Example 10
Problem: Create a simple Grade 4 example about Word form and numeral form using the numbers 16 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Word form and numeral form.
Practice Exercise
Create and solve one new example of Word form and numeral form. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.6 Building numbers from clues
Building numbers from clues is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 5 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 2
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 4 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 3
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 15 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 4
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 15 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 5
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 6 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 6
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 12 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 7
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 7 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 8
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 3 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 9
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 2 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Worked Example 10
Problem: Create a simple Grade 4 example about Building numbers from clues using the numbers 11 and 13.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Building numbers from clues.
Practice Exercise
Create and solve one new example of Building numbers from clues. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.7 Decomposing by place value
Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Option A costs $6 for 2 items. Option B costs $7 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 2
Problem: Option A costs $12 for 4 items. Option B costs $12 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Same value
Worked Example 3
Problem: Option A costs $12 for 1 items. Option B costs $8 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 4
Problem: Option A costs $8 for 3 items. Option B costs $9 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 5
Problem: Option A costs $4 for 5 items. Option B costs $7 for 4 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 6
Problem: Option A costs $5 for 2 items. Option B costs $9 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 7
Problem: Option A costs $2 for 3 items. Option B costs $6 for 3 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 8
Problem: Option A costs $11 for 5 items. Option B costs $8 for 1 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Worked Example 9
Problem: Option A costs $7 for 3 items. Option B costs $5 for 5 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option B
Worked Example 10
Problem: Option A costs $10 for 3 items. Option B costs $11 for 2 items. Which has the lower cost per item?
- Divide each price by its number of items.
- Compare the two costs per item.
Very beginner explanation: Value comparisons should compare equivalent quantities.
Answer: Option A
Practice Exercise
Create and solve one new example of Decomposing by place value. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.8 Decomposing in more than one way
Decomposing in more than one way is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 5 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 2
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 8 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 3
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 9 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 4
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 14 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 5
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 18 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 6
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 17 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 7
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 4 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 8
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 11 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 9
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 17 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Worked Example 10
Problem: Create a simple Grade 4 example about Decomposing in more than one way using the numbers 18 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Decomposing in more than one way.
Practice Exercise
Create and solve one new example of Decomposing in more than one way. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.9 Representing numbers with drawings
Representing numbers with drawings is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 13 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 2
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 4 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 3
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 4 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 4
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 10 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 5
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 6 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 6
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 20 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 7
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 5 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 8
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 5 and 2.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 9
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 20 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Worked Example 10
Problem: Create a simple Grade 4 example about Representing numbers with drawings using the numbers 8 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers with drawings.
Practice Exercise
Create and solve one new example of Representing numbers with drawings. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.10 Representing numbers on number lines
Representing numbers on number lines is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 2 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 2
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 15 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 3
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 10 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 4
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 3 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 5
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 5 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 6
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 5 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 7
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 19 and 14.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 8
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 18 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 9
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 16 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Worked Example 10
Problem: Create a simple Grade 4 example about Representing numbers on number lines using the numbers 17 and 17.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Representing numbers on number lines.
Practice Exercise
Create and solve one new example of Representing numbers on number lines. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.11 Benchmark numbers
Benchmark numbers is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 13 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 2
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 14 and 13.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 3
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 10 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 4
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 11 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 5
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 3 and 5.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 6
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 3 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 7
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 6 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 8
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 2 and 19.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 9
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 8 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Worked Example 10
Problem: Create a simple Grade 4 example about Benchmark numbers using the numbers 19 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Benchmark numbers.
Practice Exercise
Create and solve one new example of Benchmark numbers. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
2.12 Checking a number representation
Checking a number representation is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 2 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 2
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 11 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 3
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 8 and 10.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 4
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 5 and 6.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 5
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 6 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 6
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 13 and 11.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 7
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 17 and 15.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 8
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 15 and 20.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 9
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 13 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Worked Example 10
Problem: Create a simple Grade 4 example about Checking a number representation using the numbers 11 and 13.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Checking a number representation.
Practice Exercise
Create and solve one new example of Checking a number representation. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
30 Review Questions and Answers
Q1. What is important to understand about Place-value charts?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q2. What is important to understand about Value of a digit?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q3. What is important to understand about Digit versus number value?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q4. What is important to understand about Standard form and expanded form?
Answer: Standard form and expanded form is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q5. What is important to understand about Word form and numeral form?
Answer: Word form and numeral form is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q6. What is important to understand about Building numbers from clues?
Answer: Building numbers from clues is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q7. What is important to understand about Decomposing by place value?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q8. What is important to understand about Decomposing in more than one way?
Answer: Decomposing in more than one way is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q9. What is important to understand about Representing numbers with drawings?
Answer: Representing numbers with drawings is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q10. What is important to understand about Representing numbers on number lines?
Answer: Representing numbers on number lines is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q11. What is important to understand about Benchmark numbers?
Answer: Benchmark numbers is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q12. What is important to understand about Checking a number representation?
Answer: Checking a number representation is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q13. How would you explain Place-value charts?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q14. How would you explain Value of a digit?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q15. How would you explain Digit versus number value?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q16. How would you explain Standard form and expanded form?
Answer: Standard form and expanded form is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q17. How would you explain Word form and numeral form?
Answer: Word form and numeral form is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q18. How would you explain Building numbers from clues?
Answer: Building numbers from clues is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q19. How would you explain Decomposing by place value?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q20. How would you explain Decomposing in more than one way?
Answer: Decomposing in more than one way is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q21. How would you explain Representing numbers with drawings?
Answer: Representing numbers with drawings is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q22. How would you explain Representing numbers on number lines?
Answer: Representing numbers on number lines is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q23. How would you explain Benchmark numbers?
Answer: Benchmark numbers is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q24. How would you explain Checking a number representation?
Answer: Checking a number representation is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q25. What should a beginner check when working with Place-value charts?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q26. What should a beginner check when working with Value of a digit?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q27. What should a beginner check when working with Digit versus number value?
Answer: Financial literacy helps compare choices, understand payments, protect information, and judge whether a purchase gives reasonable value.
Q28. What should a beginner check when working with Standard form and expanded form?
Answer: Standard form and expanded form is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q29. What should a beginner check when working with Word form and numeral form?
Answer: Word form and numeral form is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q30. What should a beginner check when working with Building numbers from clues?
Answer: Building numbers from clues is an important Grade 4 mathematics idea in Place Value and Number Representation. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.