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Chapter 17: Adding Whole Numbers to 10,000

Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.

Grade 4Beginner Friendly10 Examples Per Topic30 Q&APractice + Review
Estimated reading time0% read
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Chapter Overview

This chapter teaches Adding Whole Numbers to 10,000 in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.

17.1 Addition with place value

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: Option A costs $12 for 5 items. Option B costs $9 for 1 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $5 for 4 items. Option B costs $8 for 3 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $3 for 5 items. Option B costs $3 for 4 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $5 for 4 items. Option B costs $7 for 1 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $6 for 2 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $3 for 1 items. Option B costs $10 for 2 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $4 for 1 items. Option B costs $9 for 2 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $3 for 4 items. Option B costs $11 for 3 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $6 for 4 items. Option B costs $8 for 4 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. 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 $12 for 5 items. Option B costs $4 for 4 items. Which has the lower cost per item?

  1. Divide each price by its number of items.
  2. Compare the two costs per item.

Very beginner explanation: Value comparisons should compare equivalent quantities.

Answer: Option B

Practice Exercise

Create and solve one new example of Addition with 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.

17.2 Mental addition

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: Calculate 1,758 + 2,388.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,146

Worked Example 2

Problem: Calculate 1,636 + 597.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,233

Worked Example 3

Problem: Calculate 3,291 + 2,479.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,770

Worked Example 4

Problem: Calculate 1,539 + 356.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,895

Worked Example 5

Problem: Calculate 2,216 + 825.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,041

Worked Example 6

Problem: Calculate 3,915 + 2,789.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 6,704

Worked Example 7

Problem: Calculate 3,206 + 1,377.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,583

Worked Example 8

Problem: Calculate 3,030 + 1,605.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,635

Worked Example 9

Problem: Calculate 3,103 + 1,691.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,794

Worked Example 10

Problem: Calculate 3,405 + 2,153.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,558

Practice Exercise

Create and solve one new example of Mental addition. 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.

17.3 Partial sums

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: Create a simple Grade 4 example about Partial sums using the numbers 14 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 2

Problem: Create a simple Grade 4 example about Partial sums using the numbers 10 and 15.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 3

Problem: Create a simple Grade 4 example about Partial sums using the numbers 10 and 10.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 4

Problem: Create a simple Grade 4 example about Partial sums using the numbers 10 and 13.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 5

Problem: Create a simple Grade 4 example about Partial sums using the numbers 13 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 6

Problem: Create a simple Grade 4 example about Partial sums using the numbers 8 and 6.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 7

Problem: Create a simple Grade 4 example about Partial sums using the numbers 19 and 16.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 8

Problem: Create a simple Grade 4 example about Partial sums using the numbers 16 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 9

Problem: Create a simple Grade 4 example about Partial sums using the numbers 15 and 18.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Worked Example 10

Problem: Create a simple Grade 4 example about Partial sums using the numbers 3 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Partial sums.

Practice Exercise

Create and solve one new example of Partial sums. 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.

17.4 Standard addition algorithm

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: Calculate 3,200 + 1,536.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,736

Worked Example 2

Problem: Calculate 2,906 + 1,365.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,271

Worked Example 3

Problem: Calculate 3,182 + 2,083.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,265

Worked Example 4

Problem: Calculate 519 + 1,046.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,565

Worked Example 5

Problem: Calculate 2,883 + 2,243.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,126

Worked Example 6

Problem: Calculate 262 + 1,461.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,723

Worked Example 7

Problem: Calculate 1,112 + 1,130.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,242

Worked Example 8

Problem: Calculate 2,809 + 2,740.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,549

Worked Example 9

Problem: Calculate 3,737 + 1,087.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,824

Worked Example 10

Problem: Calculate 1,047 + 2,147.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,194

Practice Exercise

Create and solve one new example of Standard addition algorithm. 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.

17.5 Regrouping ones and tens

Regrouping ones and tens is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. 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 Regrouping ones and tens using the numbers 17 and 4.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 2

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 19 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 3

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 10 and 18.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 4

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 5 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 5

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 5 and 19.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 6

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 16 and 9.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 7

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 8 and 17.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 8

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 11 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 9

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 14 and 17.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Worked Example 10

Problem: Create a simple Grade 4 example about Regrouping ones and tens using the numbers 13 and 15.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping ones and tens.

Practice Exercise

Create and solve one new example of Regrouping ones and tens. 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.

17.6 Regrouping tens and hundreds

Regrouping tens and hundreds is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. 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 Regrouping tens and hundreds using the numbers 17 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 2

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 4 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 3

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 18 and 19.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 4

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 8 and 10.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 5

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 16 and 6.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 6

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 4 and 19.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 7

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 11 and 12.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 8

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 12 and 17.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 9

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 5 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Worked Example 10

Problem: Create a simple Grade 4 example about Regrouping tens and hundreds using the numbers 3 and 3.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping tens and hundreds.

Practice Exercise

Create and solve one new example of Regrouping tens and hundreds. 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.

17.7 Regrouping hundreds and thousands

Regrouping hundreds and thousands is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. 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 Regrouping hundreds and thousands using the numbers 12 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 2

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 6 and 4.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 3

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 3 and 17.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 4

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 14 and 4.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 5

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 4 and 11.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 6

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 6 and 19.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 7

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 6 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 8

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 19 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 9

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 11 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Worked Example 10

Problem: Create a simple Grade 4 example about Regrouping hundreds and thousands using the numbers 12 and 18.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. 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 Regrouping hundreds and thousands.

Practice Exercise

Create and solve one new example of Regrouping hundreds and thousands. 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.

17.8 Adding three or more addends

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: Calculate 162 + 1,636.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,798

Worked Example 2

Problem: Calculate 2,241 + 1,441.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,682

Worked Example 3

Problem: Calculate 1,645 + 2,790.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,435

Worked Example 4

Problem: Calculate 2,686 + 2,662.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,348

Worked Example 5

Problem: Calculate 947 + 1,863.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,810

Worked Example 6

Problem: Calculate 582 + 2,869.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,451

Worked Example 7

Problem: Calculate 1,504 + 1,671.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,175

Worked Example 8

Problem: Calculate 1,368 + 390.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,758

Worked Example 9

Problem: Calculate 2,406 + 378.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,784

Worked Example 10

Problem: Calculate 1,102 + 2,415.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,517

Practice Exercise

Create and solve one new example of Adding three or more addends. 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.

17.9 Estimating before adding

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: Calculate 3,965 + 749.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,714

Worked Example 2

Problem: Calculate 852 + 2,881.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,733

Worked Example 3

Problem: Calculate 1,234 + 396.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,630

Worked Example 4

Problem: Calculate 3,926 + 2,571.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 6,497

Worked Example 5

Problem: Calculate 2,524 + 722.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,246

Worked Example 6

Problem: Calculate 1,206 + 2,212.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,418

Worked Example 7

Problem: Calculate 3,035 + 1,091.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,126

Worked Example 8

Problem: Calculate 908 + 327.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,235

Worked Example 9

Problem: Calculate 1,266 + 2,807.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,073

Worked Example 10

Problem: Calculate 3,234 + 972.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,206

Practice Exercise

Create and solve one new example of Estimating before adding. 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.

17.10 Word problems with addition

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: Calculate 1,775 + 873.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,648

Worked Example 2

Problem: Calculate 1,642 + 2,041.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,683

Worked Example 3

Problem: Calculate 1,962 + 2,384.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,346

Worked Example 4

Problem: Calculate 367 + 240.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 607

Worked Example 5

Problem: Calculate 2,359 + 995.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,354

Worked Example 6

Problem: Calculate 3,212 + 1,466.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,678

Worked Example 7

Problem: Calculate 1,471 + 1,935.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,406

Worked Example 8

Problem: Calculate 950 + 2,518.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,468

Worked Example 9

Problem: Calculate 959 + 1,036.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,995

Worked Example 10

Problem: Calculate 1,155 + 930.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,085

Practice Exercise

Create and solve one new example of Word problems with addition. 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.

17.11 Checking addition

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: Calculate 455 + 854.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,309

Worked Example 2

Problem: Calculate 424 + 608.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,032

Worked Example 3

Problem: Calculate 1,978 + 387.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,365

Worked Example 4

Problem: Calculate 2,728 + 1,046.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,774

Worked Example 5

Problem: Calculate 2,330 + 2,919.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,249

Worked Example 6

Problem: Calculate 1,149 + 1,825.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,974

Worked Example 7

Problem: Calculate 3,348 + 2,366.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 5,714

Worked Example 8

Problem: Calculate 2,064 + 2,124.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,188

Worked Example 9

Problem: Calculate 1,930 + 989.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,919

Worked Example 10

Problem: Calculate 1,114 + 2,751.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,865

Practice Exercise

Create and solve one new example of Checking addition. 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.

17.12 Choosing a suitable addition strategy

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: Calculate 3,485 + 1,275.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,760

Worked Example 2

Problem: Calculate 1,407 + 589.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,996

Worked Example 3

Problem: Calculate 133 + 2,073.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,206

Worked Example 4

Problem: Calculate 2,246 + 2,532.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,778

Worked Example 5

Problem: Calculate 1,059 + 2,999.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,058

Worked Example 6

Problem: Calculate 1,647 + 182.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,829

Worked Example 7

Problem: Calculate 958 + 2,624.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 3,582

Worked Example 8

Problem: Calculate 659 + 1,529.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 2,188

Worked Example 9

Problem: Calculate 142 + 1,215.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 1,357

Worked Example 10

Problem: Calculate 3,102 + 1,046.

  1. Line up place values.
  2. Add from right to left.
  3. Regroup when needed.

Very beginner explanation: Place-value alignment keeps like places together.

Answer: 4,148

Practice Exercise

Create and solve one new example of Choosing a suitable addition strategy. 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.

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30 Review Questions and Answers

Q1. What is important to understand about Addition with place value?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q2. What is important to understand about Mental addition?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q3. What is important to understand about Partial sums?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q4. What is important to understand about Standard addition algorithm?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q5. What is important to understand about Regrouping ones and tens?

Answer: Regrouping ones and tens is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. 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 Regrouping tens and hundreds?

Answer: Regrouping tens and hundreds is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. 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 Regrouping hundreds and thousands?

Answer: Regrouping hundreds and thousands is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. 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 Adding three or more addends?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q9. What is important to understand about Estimating before adding?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q10. What is important to understand about Word problems with addition?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q11. What is important to understand about Checking addition?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q12. What is important to understand about Choosing a suitable addition strategy?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q13. How would you explain Addition with place value?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q14. How would you explain Mental addition?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q15. How would you explain Partial sums?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q16. How would you explain Standard addition algorithm?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q17. How would you explain Regrouping ones and tens?

Answer: Regrouping ones and tens is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q18. How would you explain Regrouping tens and hundreds?

Answer: Regrouping tens and hundreds is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q19. How would you explain Regrouping hundreds and thousands?

Answer: Regrouping hundreds and thousands is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q20. How would you explain Adding three or more addends?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q21. How would you explain Estimating before adding?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q22. How would you explain Word problems with addition?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q23. How would you explain Checking addition?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q24. How would you explain Choosing a suitable addition strategy?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q25. What should a beginner check when working with Addition with place value?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q26. What should a beginner check when working with Mental addition?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q27. What should a beginner check when working with Partial sums?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q28. What should a beginner check when working with Standard addition algorithm?

Answer: Addition combines quantities. Align place values, regroup when needed, and estimate first to predict a reasonable answer.

Q29. What should a beginner check when working with Regrouping ones and tens?

Answer: Regrouping ones and tens is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. 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 Regrouping tens and hundreds?

Answer: Regrouping tens and hundreds is an important Grade 4 mathematics idea in Adding Whole Numbers to 10,000. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.