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Chapter 18: Subtracting 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 Subtracting Whole Numbers to 10,000 in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.

18.1 Subtraction as difference

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: Calculate 7,995 − 2,802.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 5,193

Worked Example 2

Problem: Calculate 4,930 − 392.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 4,538

Worked Example 3

Problem: Calculate 8,183 − 7,103.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,080

Worked Example 4

Problem: Calculate 5,463 − 1,163.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 4,300

Worked Example 5

Problem: Calculate 1,416 − 272.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,144

Worked Example 6

Problem: Calculate 5,390 − 4,176.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,214

Worked Example 7

Problem: Calculate 1,433 − 652.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 781

Worked Example 8

Problem: Calculate 5,018 − 3,234.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,784

Worked Example 9

Problem: Calculate 1,584 − 974.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 610

Worked Example 10

Problem: Calculate 6,955 − 2,911.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 4,044

Practice Exercise

Create and solve one new example of Subtraction as difference. 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.

18.2 Mental subtraction

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: Calculate 6,802 − 6,614.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 188

Worked Example 2

Problem: Calculate 5,162 − 4,282.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 880

Worked Example 3

Problem: Calculate 4,835 − 4,382.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 453

Worked Example 4

Problem: Calculate 7,139 − 4,397.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,742

Worked Example 5

Problem: Calculate 8,919 − 6,905.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,014

Worked Example 6

Problem: Calculate 5,190 − 2,904.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,286

Worked Example 7

Problem: Calculate 8,276 − 7,105.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,171

Worked Example 8

Problem: Calculate 1,948 − 386.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,562

Worked Example 9

Problem: Calculate 5,786 − 208.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 5,578

Worked Example 10

Problem: Calculate 8,704 − 4,648.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 4,056

Practice Exercise

Create and solve one new example of Mental subtraction. 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.

18.3 Counting up to subtract

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: Calculate 8,483 − 7,797.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 686

Worked Example 2

Problem: Calculate 2,526 − 853.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,673

Worked Example 3

Problem: Calculate 6,384 − 6,026.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 358

Worked Example 4

Problem: Calculate 4,724 − 3,882.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 842

Worked Example 5

Problem: Calculate 6,659 − 5,311.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,348

Worked Example 6

Problem: Calculate 1,780 − 789.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 991

Worked Example 7

Problem: Calculate 1,839 − 685.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,154

Worked Example 8

Problem: Calculate 1,495 − 616.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 879

Worked Example 9

Problem: Calculate 2,522 − 2,231.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 291

Worked Example 10

Problem: Calculate 7,772 − 5,822.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,950

Practice Exercise

Create and solve one new example of Counting up to subtract. 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.

18.4 Standard subtraction algorithm

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: Calculate 5,786 − 2,862.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,924

Worked Example 2

Problem: Calculate 3,563 − 1,964.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,599

Worked Example 3

Problem: Calculate 4,189 − 1,485.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,704

Worked Example 4

Problem: Calculate 5,182 − 278.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 4,904

Worked Example 5

Problem: Calculate 8,287 − 5,967.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,320

Worked Example 6

Problem: Calculate 1,736 − 273.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,463

Worked Example 7

Problem: Calculate 2,290 − 1,845.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 445

Worked Example 8

Problem: Calculate 7,698 − 683.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 7,015

Worked Example 9

Problem: Calculate 5,635 − 4,034.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,601

Worked Example 10

Problem: Calculate 4,610 − 1,706.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,904

Practice Exercise

Create and solve one new example of Standard subtraction 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.

18.5 Regrouping across one place

Regrouping across one place is an important Grade 4 mathematics idea in Subtracting 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 across one place using the numbers 7 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 across one place.

Worked Example 2

Problem: Create a simple Grade 4 example about Regrouping across one place using the numbers 15 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 across one place.

Worked Example 3

Problem: Create a simple Grade 4 example about Regrouping across one place using the numbers 13 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 across one place.

Worked Example 4

Problem: Create a simple Grade 4 example about Regrouping across one place using the numbers 5 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 across one place.

Worked Example 5

Problem: Create a simple Grade 4 example about Regrouping across one place 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 across one place.

Worked Example 6

Problem: Create a simple Grade 4 example about Regrouping across one place using the numbers 7 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 across one place.

Worked Example 7

Problem: Create a simple Grade 4 example about Regrouping across one place using the numbers 9 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 across one place.

Worked Example 8

Problem: Create a simple Grade 4 example about Regrouping across one place using the numbers 16 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 across one place.

Worked Example 9

Problem: Create a simple Grade 4 example about Regrouping across one place using the numbers 6 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 across one place.

Worked Example 10

Problem: Create a simple Grade 4 example about Regrouping across one place using the numbers 2 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 across one place.

Practice Exercise

Create and solve one new example of Regrouping across one place. 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.

18.6 Regrouping across zeros

Regrouping across zeros is an important Grade 4 mathematics idea in Subtracting 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 across zeros using the numbers 9 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 across zeros.

Worked Example 2

Problem: Create a simple Grade 4 example about Regrouping across zeros using the numbers 12 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 across zeros.

Worked Example 3

Problem: Create a simple Grade 4 example about Regrouping across zeros 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 across zeros.

Worked Example 4

Problem: Create a simple Grade 4 example about Regrouping across zeros using the numbers 13 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 across zeros.

Worked Example 5

Problem: Create a simple Grade 4 example about Regrouping across zeros using the numbers 10 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 across zeros.

Worked Example 6

Problem: Create a simple Grade 4 example about Regrouping across zeros using the numbers 7 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 across zeros.

Worked Example 7

Problem: Create a simple Grade 4 example about Regrouping across zeros using the numbers 14 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 across zeros.

Worked Example 8

Problem: Create a simple Grade 4 example about Regrouping across zeros using the numbers 5 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 Regrouping across zeros.

Worked Example 9

Problem: Create a simple Grade 4 example about Regrouping across zeros using the numbers 16 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 across zeros.

Worked Example 10

Problem: Create a simple Grade 4 example about Regrouping across zeros 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 across zeros.

Practice Exercise

Create and solve one new example of Regrouping across zeros. 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.

18.7 Estimating before subtracting

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: Calculate 6,655 − 1,019.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 5,636

Worked Example 2

Problem: Calculate 7,180 − 5,164.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,016

Worked Example 3

Problem: Calculate 4,392 − 2,259.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,133

Worked Example 4

Problem: Calculate 6,484 − 6,300.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 184

Worked Example 5

Problem: Calculate 2,193 − 1,601.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 592

Worked Example 6

Problem: Calculate 3,008 − 2,822.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 186

Worked Example 7

Problem: Calculate 5,413 − 3,187.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,226

Worked Example 8

Problem: Calculate 4,743 − 3,045.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,698

Worked Example 9

Problem: Calculate 2,438 − 2,352.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 86

Worked Example 10

Problem: Calculate 1,917 − 798.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,119

Practice Exercise

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

18.8 Finding missing parts

Finding missing parts is an important Grade 4 mathematics idea in Subtracting 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 Finding missing parts using the numbers 8 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 Finding missing parts.

Worked Example 2

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 8 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 Finding missing parts.

Worked Example 3

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 18 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 Finding missing parts.

Worked Example 4

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 20 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 Finding missing parts.

Worked Example 5

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 19 and 14.

  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 Finding missing parts.

Worked Example 6

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 5 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 Finding missing parts.

Worked Example 7

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 14 and 20.

  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 Finding missing parts.

Worked Example 8

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 2 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 Finding missing parts.

Worked Example 9

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 12 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 Finding missing parts.

Worked Example 10

Problem: Create a simple Grade 4 example about Finding missing parts using the numbers 20 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 Finding missing parts.

Practice Exercise

Create and solve one new example of Finding missing parts. 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.

18.9 Word problems with subtraction

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: Calculate 4,355 − 3,424.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 931

Worked Example 2

Problem: Calculate 4,279 − 2,855.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,424

Worked Example 3

Problem: Calculate 4,342 − 1,535.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,807

Worked Example 4

Problem: Calculate 8,732 − 6,581.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,151

Worked Example 5

Problem: Calculate 3,766 − 396.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 3,370

Worked Example 6

Problem: Calculate 5,101 − 2,487.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,614

Worked Example 7

Problem: Calculate 4,046 − 292.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 3,754

Worked Example 8

Problem: Calculate 2,072 − 351.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,721

Worked Example 9

Problem: Calculate 7,808 − 103.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 7,705

Worked Example 10

Problem: Calculate 8,095 − 6,764.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,331

Practice Exercise

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

18.10 Comparing quantities by subtraction

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: Calculate 1,551 − 1,413.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 138

Worked Example 2

Problem: Calculate 8,835 − 3,686.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 5,149

Worked Example 3

Problem: Calculate 4,629 − 2,227.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,402

Worked Example 4

Problem: Calculate 2,286 − 2,264.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 22

Worked Example 5

Problem: Calculate 5,255 − 3,895.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,360

Worked Example 6

Problem: Calculate 6,628 − 2,537.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 4,091

Worked Example 7

Problem: Calculate 1,854 − 480.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,374

Worked Example 8

Problem: Calculate 4,602 − 2,127.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,475

Worked Example 9

Problem: Calculate 1,229 − 785.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 444

Worked Example 10

Problem: Calculate 1,283 − 828.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 455

Practice Exercise

Create and solve one new example of Comparing quantities by subtraction. 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.

18.11 Checking subtraction 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 3,685 + 2,865.

  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: 6,550

Worked Example 2

Problem: Calculate 1,235 + 1,260.

  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: 2,495

Worked Example 3

Problem: Calculate 2,422 + 1,231.

  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: 3,653

Worked Example 4

Problem: Calculate 1,497 + 1,044.

  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: 2,541

Worked Example 5

Problem: Calculate 143 + 316.

  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: 459

Worked Example 6

Problem: Calculate 2,825 + 2,159.

  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: 4,984

Worked Example 7

Problem: Calculate 2,605 + 2,437.

  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: 5,042

Worked Example 8

Problem: Calculate 830 + 2,403.

  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: 3,233

Worked Example 9

Problem: Calculate 492 + 332.

  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: 824

Worked Example 10

Problem: Calculate 2,339 + 955.

  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: 3,294

Practice Exercise

Create and solve one new example of Checking subtraction 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.

18.12 Choosing a suitable subtraction strategy

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: Calculate 5,854 − 1,216.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 4,638

Worked Example 2

Problem: Calculate 3,268 − 3,061.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 207

Worked Example 3

Problem: Calculate 2,206 − 2,115.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 91

Worked Example 4

Problem: Calculate 6,712 − 5,456.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,256

Worked Example 5

Problem: Calculate 8,616 − 5,180.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 3,436

Worked Example 6

Problem: Calculate 3,755 − 2,687.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 1,068

Worked Example 7

Problem: Calculate 1,726 − 1,015.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 711

Worked Example 8

Problem: Calculate 7,436 − 5,028.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 2,408

Worked Example 9

Problem: Calculate 7,894 − 7,172.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 722

Worked Example 10

Problem: Calculate 1,342 − 1,011.

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

Very beginner explanation: Addition can be used to check subtraction.

Answer: 331

Practice Exercise

Create and solve one new example of Choosing a suitable subtraction 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 Subtraction as difference?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q2. What is important to understand about Mental subtraction?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q3. What is important to understand about Counting up to subtract?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

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

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q5. What is important to understand about Regrouping across one place?

Answer: Regrouping across one place is an important Grade 4 mathematics idea in Subtracting 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 across zeros?

Answer: Regrouping across zeros is an important Grade 4 mathematics idea in Subtracting 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 Estimating before subtracting?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q8. What is important to understand about Finding missing parts?

Answer: Finding missing parts is an important Grade 4 mathematics idea in Subtracting Whole Numbers to 10,000. 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 Word problems with subtraction?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q10. What is important to understand about Comparing quantities by subtraction?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q11. What is important to understand about Checking subtraction with 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 subtraction strategy?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q13. How would you explain Subtraction as difference?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q14. How would you explain Mental subtraction?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q15. How would you explain Counting up to subtract?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q16. How would you explain Standard subtraction algorithm?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q17. How would you explain Regrouping across one place?

Answer: Regrouping across one place is an important Grade 4 mathematics idea in Subtracting 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 across zeros?

Answer: Regrouping across zeros is an important Grade 4 mathematics idea in Subtracting 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 Estimating before subtracting?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q20. How would you explain Finding missing parts?

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

Q21. How would you explain Word problems with subtraction?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q22. How would you explain Comparing quantities by subtraction?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q23. How would you explain Checking subtraction with 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 subtraction strategy?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q25. What should a beginner check when working with Subtraction as difference?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

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

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q27. What should a beginner check when working with Counting up to subtract?

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

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

Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.

Q29. What should a beginner check when working with Regrouping across one place?

Answer: Regrouping across one place is an important Grade 4 mathematics idea in Subtracting 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 across zeros?

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