Structured worksheet guiding students through the basics of inverse operations with clear examples and practice problems.

Let’s go step by step through each section.

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Section A: Fill the table with the correct operation symbol.

We need to find the *inverse* (opposite) of each operation.

- The inverse of subtraction is addition → because if you subtract, adding back undoes it.
Example: 10 - 3 = 7 → then 7 + 3 = 10

- The inverse of addition is subtraction → because if you add, subtracting undoes it.
Example: 5 + 4 = 9 → then 9 - 4 = 5

- The inverse of multiplication is division → because multiplying and then dividing by the same number brings you back.
Example: 6 × 2 = 12 → then 12 ÷ 2 = 6

- The inverse of division is multiplication → because dividing and then multiplying undoes it.
Example: 20 ÷ 4 = 5 → then 5 × 4 = 20

So we fill in:

| Statement | Operation |
|------------------------------------------------|-----------|
| The Inverse operation of subtraction is... | + |
| The Inverse operation of addition is... | – |
| The Inverse operation of multiplication is... | ÷ |
| The Inverse operation of division is... | × |

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Section B: Match the equation with the correct inverse operation.

We look for equations that undo each other.

A: 3 + 7 = 10 → inverse would be 10 - 7 = 3 or 10 - 3 = 7 → matches 3

B: 10 ÷ 2 = 5 → inverse is 5 × 2 = 10 → matches 6

C: 3 × 7 = 21 → inverse is 21 ÷ 7 = 3 → matches 2

D: 45 ÷ 9 = 5 → inverse is 9 × 5 = 45 → matches 5

E: 7 - 3 = 4 → inverse is 4 + 3 = 7 → matches 1

F: 12 × 6 = 72 → inverse is 72 ÷ 6 = 12 → matches 4

So matching:

A → 3
B → 6
C → 2
D → 5
E → 1
F → 4

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Section C: Write the correct inverse operation underneath.

For each equation, write the opposite operation that “undoes” it.

1) 15 + 2 = 17 → inverse: 17 - 2 = 15 OR 17 - 15 = 2 → let’s pick one: 17 - 2 = 15

2) 54 ÷ 6 = 9 → inverse: 9 × 6 = 54 → 9 × 6 = 54

3) 2 × 3 = 6 → inverse: 6 ÷ 3 = 2 OR 6 ÷ 2 = 3 → pick 6 ÷ 3 = 2

4) 50 - 12 = 38 → inverse: 38 + 12 = 50 → 38 + 12 = 50

5) 20 - 6 = 14 → inverse: 14 + 6 = 20 → 14 + 6 = 20

6) 24 + 75 = 99 → inverse: 99 - 75 = 24 OR 99 - 24 = 75 → pick 99 - 75 = 24

(Any valid inverse is acceptable — as long as it reverses the original.)

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Final Answer:

Section A:
- Subtraction → +
- Addition → –
- Multiplication → ÷
- Division → ×

Section B:
A → 3
B → 6
C → 2
D → 5
E → 1
F → 4

Section C:
1) 17 - 2 = 15
2) 9 × 6 = 54
3) 6 ÷ 3 = 2
4) 38 + 12 = 50
5) 14 + 6 = 20
6) 99 - 75 = 24