Chapter 36: Inequalities with Addition and Subtraction
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Inequalities with Addition and Subtraction in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
36.1 Meaning of an inequality
Algebra uses symbols for unknown or changing values. Equations show equal values; inequalities compare values that are not necessarily equal. 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: Which whole numbers from 0 to 10 make n + 7 < 13 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 6
Worked Example 2
Problem: Which whole numbers from 0 to 10 make n + 6 < 16 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 10
Worked Example 3
Problem: Which whole numbers from 0 to 10 make n + 6 < 14 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 8
Worked Example 4
Problem: Which whole numbers from 0 to 10 make n + 3 < 14 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 11
Worked Example 5
Problem: Which whole numbers from 0 to 10 make n + 7 < 15 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 8
Worked Example 6
Problem: Which whole numbers from 0 to 10 make n + 7 < 13 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 6
Worked Example 7
Problem: Which whole numbers from 0 to 10 make n + 8 < 12 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 4
Worked Example 8
Problem: Which whole numbers from 0 to 10 make n + 3 < 9 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 6
Worked Example 9
Problem: Which whole numbers from 0 to 10 make n + 6 < 11 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 5
Worked Example 10
Problem: Which whole numbers from 0 to 10 make n + 3 < 6 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 3
Practice Exercise
Create and solve one new example of Meaning of an inequality. 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.
36.2 Greater than and less than
Greater than and less than is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Greater than and less than using the numbers 6 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 Greater than and less than.
Worked Example 2
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 5 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 Greater than and less than.
Worked Example 3
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 14 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 Greater than and less than.
Worked Example 4
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 11 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 Greater than and less than.
Worked Example 5
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 8 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 Greater than and less than.
Worked Example 6
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 7 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 Greater than and less than.
Worked Example 7
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 2 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 Greater than and less than.
Worked Example 8
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 7 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 Greater than and less than.
Worked Example 9
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 7 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 Greater than and less than.
Worked Example 10
Problem: Create a simple Grade 4 example about Greater than and less than using the numbers 6 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 Greater than and less than.
Practice Exercise
Create and solve one new example of Greater than and less than. 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.
36.3 Greater than or equal to
Greater than or equal to is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Greater than or equal to using the numbers 6 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 Greater than or equal to.
Worked Example 2
Problem: Create a simple Grade 4 example about Greater than or equal to using the numbers 20 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 Greater than or equal to.
Worked Example 3
Problem: Create a simple Grade 4 example about Greater than or equal to using the numbers 16 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 Greater than or equal to.
Worked Example 4
Problem: Create a simple Grade 4 example about Greater than or equal to using the numbers 17 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 Greater than or equal to.
Worked Example 5
Problem: Create a simple Grade 4 example about Greater than or equal to using the numbers 4 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 Greater than or equal to.
Worked Example 6
Problem: Create a simple Grade 4 example about Greater than or equal to 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 Greater than or equal to.
Worked Example 7
Problem: Create a simple Grade 4 example about Greater than or equal to using the numbers 18 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 Greater than or equal to.
Worked Example 8
Problem: Create a simple Grade 4 example about Greater than or equal to using the numbers 5 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 Greater than or equal to.
Worked Example 9
Problem: Create a simple Grade 4 example about Greater than or equal to 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 Greater than or equal to.
Worked Example 10
Problem: Create a simple Grade 4 example about Greater than or equal to using the numbers 7 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 Greater than or equal to.
Practice Exercise
Create and solve one new example of Greater than or equal to. 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.
36.4 Less than or equal to
Less than or equal to is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Less than or equal to using the numbers 17 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 Less than or equal to.
Worked Example 2
Problem: Create a simple Grade 4 example about Less than or equal to 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 Less than or equal to.
Worked Example 3
Problem: Create a simple Grade 4 example about Less than or equal to using the numbers 14 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 Less than or equal to.
Worked Example 4
Problem: Create a simple Grade 4 example about Less than or equal to using the numbers 14 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 Less than or equal to.
Worked Example 5
Problem: Create a simple Grade 4 example about Less than or equal to using the numbers 17 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 Less than or equal to.
Worked Example 6
Problem: Create a simple Grade 4 example about Less than or equal to using the numbers 12 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 Less than or equal to.
Worked Example 7
Problem: Create a simple Grade 4 example about Less than or equal to using the numbers 17 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 Less than or equal to.
Worked Example 8
Problem: Create a simple Grade 4 example about Less than or equal to 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 Less than or equal to.
Worked Example 9
Problem: Create a simple Grade 4 example about Less than or equal to using the numbers 14 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 Less than or equal to.
Worked Example 10
Problem: Create a simple Grade 4 example about Less than or equal to using the numbers 15 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 Less than or equal to.
Practice Exercise
Create and solve one new example of Less than or equal to. 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.
36.5 Addition inequalities to 20
Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer. 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: Which whole numbers from 0 to 10 make n + 3 < 10 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 7
Worked Example 2
Problem: Which whole numbers from 0 to 10 make n + 4 < 13 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 9
Worked Example 3
Problem: Which whole numbers from 0 to 10 make n + 8 < 14 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 6
Worked Example 4
Problem: Which whole numbers from 0 to 10 make n + 8 < 15 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 7
Worked Example 5
Problem: Which whole numbers from 0 to 10 make n + 1 < 13 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 12
Worked Example 6
Problem: Which whole numbers from 0 to 10 make n + 4 < 17 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 13
Worked Example 7
Problem: Which whole numbers from 0 to 10 make n + 8 < 17 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 9
Worked Example 8
Problem: Which whole numbers from 0 to 10 make n + 5 < 8 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 3
Worked Example 9
Problem: Which whole numbers from 0 to 10 make n + 4 < 16 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 12
Worked Example 10
Problem: Which whole numbers from 0 to 10 make n + 8 < 13 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 5
Practice Exercise
Create and solve one new example of Addition inequalities to 20. 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.
36.6 Subtraction inequalities to 20
Subtraction finds what remains or the difference between quantities. Addition is a useful way to check. 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: Which whole numbers from 0 to 10 make n + 2 < 10 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 8
Worked Example 2
Problem: Which whole numbers from 0 to 10 make n + 4 < 20 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 16
Worked Example 3
Problem: Which whole numbers from 0 to 10 make n + 3 < 15 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 12
Worked Example 4
Problem: Which whole numbers from 0 to 10 make n + 5 < 18 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 13
Worked Example 5
Problem: Which whole numbers from 0 to 10 make n + 2 < 18 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 16
Worked Example 6
Problem: Which whole numbers from 0 to 10 make n + 7 < 17 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 10
Worked Example 7
Problem: Which whole numbers from 0 to 10 make n + 2 < 20 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 18
Worked Example 8
Problem: Which whole numbers from 0 to 10 make n + 2 < 5 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 3
Worked Example 9
Problem: Which whole numbers from 0 to 10 make n + 4 < 17 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 13
Worked Example 10
Problem: Which whole numbers from 0 to 10 make n + 4 < 16 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 12
Practice Exercise
Create and solve one new example of Subtraction inequalities to 20. 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.
36.7 Finding more than one solution
Finding more than one solution is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Finding more than one solution using the numbers 20 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 Finding more than one solution.
Worked Example 2
Problem: Create a simple Grade 4 example about Finding more than one solution using the numbers 10 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 Finding more than one solution.
Worked Example 3
Problem: Create a simple Grade 4 example about Finding more than one solution using the numbers 11 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 Finding more than one solution.
Worked Example 4
Problem: Create a simple Grade 4 example about Finding more than one solution using the numbers 8 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 Finding more than one solution.
Worked Example 5
Problem: Create a simple Grade 4 example about Finding more than one solution using the numbers 7 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 Finding more than one solution.
Worked Example 6
Problem: Create a simple Grade 4 example about Finding more than one solution using the numbers 14 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 Finding more than one solution.
Worked Example 7
Problem: Create a simple Grade 4 example about Finding more than one solution 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 Finding more than one solution.
Worked Example 8
Problem: Create a simple Grade 4 example about Finding more than one solution using the numbers 13 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 Finding more than one solution.
Worked Example 9
Problem: Create a simple Grade 4 example about Finding more than one solution using the numbers 14 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 Finding more than one solution.
Worked Example 10
Problem: Create a simple Grade 4 example about Finding more than one solution using the numbers 13 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 Finding more than one solution.
Practice Exercise
Create and solve one new example of Finding more than one solution. 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.
36.8 Open and closed dots
Open and closed dots is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Open and closed dots using the numbers 16 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 Open and closed dots.
Worked Example 2
Problem: Create a simple Grade 4 example about Open and closed dots 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 Open and closed dots.
Worked Example 3
Problem: Create a simple Grade 4 example about Open and closed dots using the numbers 6 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 Open and closed dots.
Worked Example 4
Problem: Create a simple Grade 4 example about Open and closed dots using the numbers 8 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 Open and closed dots.
Worked Example 5
Problem: Create a simple Grade 4 example about Open and closed dots using the numbers 16 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 Open and closed dots.
Worked Example 6
Problem: Create a simple Grade 4 example about Open and closed dots using the numbers 6 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 Open and closed dots.
Worked Example 7
Problem: Create a simple Grade 4 example about Open and closed dots using the numbers 11 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 Open and closed dots.
Worked Example 8
Problem: Create a simple Grade 4 example about Open and closed dots using the numbers 6 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 Open and closed dots.
Worked Example 9
Problem: Create a simple Grade 4 example about Open and closed dots using the numbers 6 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 Open and closed dots.
Worked Example 10
Problem: Create a simple Grade 4 example about Open and closed dots using the numbers 15 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 Open and closed dots.
Practice Exercise
Create and solve one new example of Open and closed dots. 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.
36.9 Graphing solutions on a number line
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. 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: A data set is [13, 15, 15, 5, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 2
Problem: A data set is [14, 14, 7, 12, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 3
Problem: A data set is [3, 3, 11, 4, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 4
Problem: A data set is [11, 6, 12, 9, 7]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 5
Problem: A data set is [15, 8, 13, 3, 13]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 6
Problem: A data set is [13, 14, 4, 14, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 7
Problem: A data set is [3, 7, 8, 8, 7]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 8
Worked Example 8
Problem: A data set is [9, 10, 2, 7, 3]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 10
Worked Example 9
Problem: A data set is [3, 10, 13, 13, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 10
Problem: A data set is [3, 4, 5, 6, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 8
Practice Exercise
Create and solve one new example of Graphing solutions on a number line. 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.
36.10 Testing a possible solution
Testing a possible solution is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Testing a possible solution using the numbers 9 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 Testing a possible solution.
Worked Example 2
Problem: Create a simple Grade 4 example about Testing a possible solution using the numbers 19 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 Testing a possible solution.
Worked Example 3
Problem: Create a simple Grade 4 example about Testing a possible solution using the numbers 16 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 Testing a possible solution.
Worked Example 4
Problem: Create a simple Grade 4 example about Testing a possible solution using the numbers 16 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 Testing a possible solution.
Worked Example 5
Problem: Create a simple Grade 4 example about Testing a possible solution using the numbers 11 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 Testing a possible solution.
Worked Example 6
Problem: Create a simple Grade 4 example about Testing a possible solution using the numbers 9 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 Testing a possible solution.
Worked Example 7
Problem: Create a simple Grade 4 example about Testing a possible solution 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 Testing a possible solution.
Worked Example 8
Problem: Create a simple Grade 4 example about Testing a possible solution using the numbers 3 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 Testing a possible solution.
Worked Example 9
Problem: Create a simple Grade 4 example about Testing a possible solution using the numbers 12 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 Testing a possible solution.
Worked Example 10
Problem: Create a simple Grade 4 example about Testing a possible solution using the numbers 19 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 Testing a possible solution.
Practice Exercise
Create and solve one new example of Testing a possible solution. 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.
36.11 Verifying solutions
Verifying solutions is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Verifying solutions using the numbers 18 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 Verifying solutions.
Worked Example 2
Problem: Create a simple Grade 4 example about Verifying solutions using the numbers 8 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 Verifying solutions.
Worked Example 3
Problem: Create a simple Grade 4 example about Verifying solutions using the numbers 16 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 Verifying solutions.
Worked Example 4
Problem: Create a simple Grade 4 example about Verifying solutions using the numbers 7 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 Verifying solutions.
Worked Example 5
Problem: Create a simple Grade 4 example about Verifying solutions using the numbers 13 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 Verifying solutions.
Worked Example 6
Problem: Create a simple Grade 4 example about Verifying solutions using the numbers 19 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 Verifying solutions.
Worked Example 7
Problem: Create a simple Grade 4 example about Verifying solutions using the numbers 11 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 Verifying solutions.
Worked Example 8
Problem: Create a simple Grade 4 example about Verifying solutions using the numbers 16 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 Verifying solutions.
Worked Example 9
Problem: Create a simple Grade 4 example about Verifying solutions using the numbers 16 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 Verifying solutions.
Worked Example 10
Problem: Create a simple Grade 4 example about Verifying solutions 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 Verifying solutions.
Practice Exercise
Create and solve one new example of Verifying solutions. 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.
36.12 Inequality word problems
Algebra uses symbols for unknown or changing values. Equations show equal values; inequalities compare values that are not necessarily equal. 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: Which whole numbers from 0 to 10 make n + 5 < 16 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 11
Worked Example 2
Problem: Which whole numbers from 0 to 10 make n + 5 < 12 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 7
Worked Example 3
Problem: Which whole numbers from 0 to 10 make n + 2 < 9 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 7
Worked Example 4
Problem: Which whole numbers from 0 to 10 make n + 7 < 13 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 6
Worked Example 5
Problem: Which whole numbers from 0 to 10 make n + 1 < 6 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 5
Worked Example 6
Problem: Which whole numbers from 0 to 10 make n + 8 < 18 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 10
Worked Example 7
Problem: Which whole numbers from 0 to 10 make n + 4 < 14 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 10
Worked Example 8
Problem: Which whole numbers from 0 to 10 make n + 5 < 9 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 4
Worked Example 9
Problem: Which whole numbers from 0 to 10 make n + 1 < 8 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 7
Worked Example 10
Problem: Which whole numbers from 0 to 10 make n + 7 < 20 true?
- Subtract the added amount from the limit.
- Test values below that result.
Very beginner explanation: An inequality can have several correct solutions.
Answer: n < 13
Practice Exercise
Create and solve one new example of Inequality word problems. 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 Meaning of an inequality?
Answer: Algebra uses symbols for unknown or changing values. Equations show equal values; inequalities compare values that are not necessarily equal.
Q2. What is important to understand about Greater than and less than?
Answer: Greater than and less than is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q3. What is important to understand about Greater than or equal to?
Answer: Greater than or equal to is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q4. What is important to understand about Less than or equal to?
Answer: Less than or equal to is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Addition inequalities to 20?
Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.
Q6. What is important to understand about Subtraction inequalities to 20?
Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.
Q7. What is important to understand about Finding more than one solution?
Answer: Finding more than one solution is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q8. What is important to understand about Open and closed dots?
Answer: Open and closed dots is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Graphing solutions on a number line?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q10. What is important to understand about Testing a possible solution?
Answer: Testing a possible solution is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Verifying solutions?
Answer: Verifying solutions is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Inequality word problems?
Answer: Algebra uses symbols for unknown or changing values. Equations show equal values; inequalities compare values that are not necessarily equal.
Q13. How would you explain Meaning of an inequality?
Answer: Algebra uses symbols for unknown or changing values. Equations show equal values; inequalities compare values that are not necessarily equal.
Q14. How would you explain Greater than and less than?
Answer: Greater than and less than is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q15. How would you explain Greater than or equal to?
Answer: Greater than or equal to is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q16. How would you explain Less than or equal to?
Answer: Less than or equal to is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q17. How would you explain Addition inequalities to 20?
Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.
Q18. How would you explain Subtraction inequalities to 20?
Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.
Q19. How would you explain Finding more than one solution?
Answer: Finding more than one solution is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q20. How would you explain Open and closed dots?
Answer: Open and closed dots is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q21. How would you explain Graphing solutions on a number line?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q22. How would you explain Testing a possible solution?
Answer: Testing a possible solution is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q23. How would you explain Verifying solutions?
Answer: Verifying solutions is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q24. How would you explain Inequality word problems?
Answer: Algebra uses symbols for unknown or changing values. Equations show equal values; inequalities compare values that are not necessarily equal.
Q25. What should a beginner check when working with Meaning of an inequality?
Answer: Algebra uses symbols for unknown or changing values. Equations show equal values; inequalities compare values that are not necessarily equal.
Q26. What should a beginner check when working with Greater than and less than?
Answer: Greater than and less than is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q27. What should a beginner check when working with Greater than or equal to?
Answer: Greater than or equal to is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q28. What should a beginner check when working with Less than or equal to?
Answer: Less than or equal to is an important Grade 4 mathematics idea in Inequalities with Addition and Subtraction. 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 Addition inequalities to 20?
Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.
Q30. What should a beginner check when working with Subtraction inequalities to 20?
Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.