Let’s solve this step by step.
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Section A: Fill the table with the correct operation symbol.
We need to know what “inverse” means — it’s the opposite operation that undoes the first one.
- The inverse of
subtraction is
addition → because if you subtract, adding brings you back.
- Example: 10 – 3 = 7 → then 7 + 3 = 10
✔
- So, symbol:
+
- The inverse of
addition is
subtraction → because if you add, subtracting brings you back.
- Example: 5 + 4 = 9 → then 9 – 4 = 5
✔
- So, symbol:
–
- The inverse of
multiplication is
division → because if you multiply, dividing brings you back.
- Example: 6 × 2 = 12 → then 12 ÷ 2 = 6
✔
- So, symbol:
÷
- The inverse of
division is
multiplication → because if you divide, multiplying brings you back.
- Example: 15 ÷ 3 = 5 → then 5 × 3 = 15
✔
- So, symbol:
×
✔ Section A Answers:
- Subtraction → +
- Addition → –
- Multiplication → ÷
- Division → ×
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Section B: Match the equation with the correct inverse operation.
We look for equations that use the same numbers but reverse the operation.
A) 3 + 7 = 10 → Inverse would be subtraction using those numbers: 10 – 7 = 3 → That’s #3
B) 10 ÷ 2 = 5 → Inverse is multiplication: 5 × 2 = 10 → That’s #6
C) 3 × 7 = 21 → Inverse is division: 21 ÷ 7 = 3 → That’s #2
D) 45 ÷ 9 = 5 → Inverse is multiplication: 9 × 5 = 45 → That’s #5
E) 7 – 3 = 4 → Inverse is addition: 3 + 4 = 7 → That’s #1
F) 12 × 6 = 72 → Inverse is division: 72 ÷ 6 = 12 → That’s #4
✔ Section B Matches:
A → 3
B → 6
C → 2
D → 5
E → 1
F → 4
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Section C: Write the correct inverse operation underneath.
We write the opposite operation using the same numbers.
1) 15 + 2 = 17 → Inverse: 17 – 2 = 15 (or 17 – 15 = 2 — both are valid, but usually we undo the last number added)
→ Let’s do:
17 – 2 = 15
2) 54 ÷ 6 = 9 → Inverse: 9 × 6 = 54
3) 2 × 3 = 6 → Inverse: 6 ÷ 3 = 2 (or 6 ÷ 2 = 3 — either works; let’s pick 6 ÷ 3 = 2)
4) 50 – 12 = 38 → Inverse: 38 + 12 = 50
5) 20 – 6 = 14 → Inverse: 14 + 6 = 20
6) 24 + 75 = 99 → Inverse: 99 – 75 = 24 (or 99 – 24 = 75 — let’s pick 99 – 75 = 24)
✔ Section C Answers:
1) 17 – 2 = 15
2) 9 × 6 = 54
3) 6 ÷ 3 = 2
4) 38 + 12 = 50
5) 14 + 6 = 20
6) 99 – 75 = 24
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Final Answer:
Section A:
- The Inverse operation of subtraction is...
+
- The Inverse operation of addition is...
–
- The Inverse operation of multiplication is...
÷
- The Inverse operation of division is...
×
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
Parent Tip: Review the logic above to help your child master the concept of solving equations using inverse operation worksheet.
