Subtraction as Difference Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Subtraction as Difference.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
Understanding subtraction as finding the gap or difference between two quantities, rather than just 'taking away.' This comparison model asks 'how many more?' or 'how far apart?'
How much taller is a 6-foot person than a 4-foot person? The difference is 2 feet.
Read the full concept explanation βHow to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Difference sees subtraction as measuring how far apart two quantities are, even when nothing is taken away.
Common stuck point: The procedure for subtraction as difference is the easy part; the trap is adding the two amounts because both are present. Asking "Am I finding the gap between two amounts rather than removing one?" first is what keeps a correct-looking calculation from being attached to the wrong concept.
Sense of Study hint: Ask: Am I finding the gap between two amounts rather than removing one?
Worked Examples
Example 1
easyAnswer
First step
Full solution
- 2 Write:
- 3 Count up from 5 to 8: 6, 7, 8 β that is 3 steps.
- 4 Rosa has 3 more grapes than Tom.
Example 2
mediumExample 3
easyExample 4
mediumExample 5
easyExample 6
easyExample 7
mediumExample 8
easyExample 9
easyExample 10
hardExample 11
easyExample 12
easyExample 13
hardPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
mediumExample 3
easyExample 4
easyExample 5
easyExample 6
easyExample 7
easyExample 8
easyExample 9
easyExample 10
easyExample 11
mediumExample 12
mediumExample 13
mediumExample 14
mediumExample 15
mediumExample 16
mediumExample 17
mediumExample 18
mediumExample 19
mediumExample 20
challengeExample 21
challengeExample 22
challengeExample 23
easyExample 24
easyExample 25
easyExample 26
mediumExample 27
mediumExample 28
hardExample 29
easyExample 30
easyExample 31
easyExample 32
mediumExample 33
mediumExample 34
easyExample 35
easyExample 36
easyExample 37
mediumExample 38
mediumExample 39
easyExample 40
easyExample 41
easyExample 42
mediumExample 43
mediumRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.