Inverse Operations worksheet with multiplication and division exercises for students.

Let's solve each question step by step using inverse operations — multiplication and division. The goal is to write two multiplication sums and two division sums using the three given numbers in each question.

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🔍 Understanding Inverse Operations

- Multiplication and division are inverse operations.
- If:
$ a \times b = c $,
then:
$ c \div a = b $ and $ c \div b = a $

We'll use this relationship to create all four equations for each set of numbers.

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## ✔ Q1) 7, 70, 10 (Already done as example)
- Sum 1: $ 7 \times 10 = 70 $
- Sum 2: $ 10 \times 7 = 70 $
- Sum 3: $ 70 \div 7 = 10 $
- Sum 4: $ 70 \div 10 = 7 $

✔️ Correct! This shows the pattern.

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## 🟦 Q2) 9, 2, 18

We know:
- $ 9 \times 2 = 18 $
- $ 2 \times 9 = 18 $
- $ 18 \div 9 = 2 $
- $ 18 \div 2 = 9 $

So:

- Sum 1: $ 9 \times 2 = 18 $
- Sum 2: $ 2 \times 9 = 18 $
- Sum 3: $ 18 \div 9 = 2 $
- Sum 4: $ 18 \div 2 = 9 $

✔ Done!

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## 🟦 Q3) 30, 5, 6

Check: Is $ 5 \times 6 = 30 $? Yes!

So:
- $ 5 \times 6 = 30 $
- $ 6 \times 5 = 30 $
- $ 30 \div 5 = 6 $
- $ 30 \div 6 = 5 $

So:

- Sum 1: $ 5 \times 6 = 30 $
- Sum 2: $ 6 \times 5 = 30 $
- Sum 3: $ 30 \div 5 = 6 $
- Sum 4: $ 30 \div 6 = 5 $

✔ Done!

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## 🟦 Q4) 3, 21, 7

Check: $ 3 \times 7 = 21 $? Yes!

So:
- $ 3 \times 7 = 21 $
- $ 7 \times 3 = 21 $
- $ 21 \div 3 = 7 $
- $ 21 \div 7 = 3 $

So:

- Sum 1: $ 3 \times 7 = 21 $
- Sum 2: $ 7 \times 3 = 21 $
- Sum 3: $ 21 \div 3 = 7 $
- Sum 4: $ 21 \div 7 = 3 $

✔ Done!

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## 🟦 Q5) 24, 4, 6

Check: $ 4 \times 6 = 24 $? Yes!

So:
- $ 4 \times 6 = 24 $
- $ 6 \times 4 = 24 $
- $ 24 \div 4 = 6 $
- $ 24 \div 6 = 4 $

So:

- Sum 1: $ 4 \times 6 = 24 $
- Sum 2: $ 6 \times 4 = 24 $
- Sum 3: $ 24 \div 4 = 6 $
- Sum 4: $ 24 \div 6 = 4 $

✔ Done!

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## 🟦 Q6) 8, 40, 5

Check: $ 8 \times 5 = 40 $? Yes!

So:
- $ 8 \times 5 = 40 $
- $ 5 \times 8 = 40 $
- $ 40 \div 8 = 5 $
- $ 40 \div 5 = 8 $

So:

- Sum 1: $ 8 \times 5 = 40 $
- Sum 2: $ 5 \times 8 = 40 $
- Sum 3: $ 40 \div 8 = 5 $
- Sum 4: $ 40 \div 5 = 8 $

✔ Done!

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✔ Final Answers:

#### Q2)
- Sum 1: $ 9 \times 2 = 18 $
- Sum 2: $ 2 \times 9 = 18 $
- Sum 3: $ 18 \div 9 = 2 $
- Sum 4: $ 18 \div 2 = 9 $

#### Q3)
- Sum 1: $ 5 \times 6 = 30 $
- Sum 2: $ 6 \times 5 = 30 $
- Sum 3: $ 30 \div 5 = 6 $
- Sum 4: $ 30 \div 6 = 5 $

#### Q4)
- Sum 1: $ 3 \times 7 = 21 $
- Sum 2: $ 7 \times 3 = 21 $
- Sum 3: $ 21 \div 3 = 7 $
- Sum 4: $ 21 \div 7 = 3 $

#### Q5)
- Sum 1: $ 4 \times 6 = 24 $
- Sum 2: $ 6 \times 4 = 24 $
- Sum 3: $ 24 \div 4 = 6 $
- Sum 4: $ 24 \div 6 = 4 $

#### Q6)
- Sum 1: $ 8 \times 5 = 40 $
- Sum 2: $ 5 \times 8 = 40 $
- Sum 3: $ 40 \div 8 = 5 $
- Sum 4: $ 40 \div 5 = 8 $

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📌 Summary

For any three numbers where one is the product of the other two:
- Two multiplication equations (order doesn't matter)
- Two division equations (product divided by either factor gives the other)

This reinforces understanding of multiplicative relationships and how multiplication and division are inverses.

Let me know if you'd like this turned into a printable worksheet or need help with more problems! 😊