Multiplying and dividing math worksheet with various arithmetic exercises.

Let's solve the problem step by step based on the worksheet titled "Multiplying and dividing".

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Section 1: Write the answer in the box.

We are given a few multiplication problems involving multiples of 10 or 100.

#### Problem:
- $ 26 \times 10 = 260 $
- $ 857 \div 10 = 85.7 $

✔ These are correct.

Now, let's verify:

- $ 26 \times 10 = 260 $ → Correct.
- $ 857 \div 10 = 85.7 $ → Correct (moving decimal one place left).

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Section 2: Write the product in the box.

These are multiplication problems with numbers multiplied by 10, 100, or 1000.

| Problem | Solution |
|--------|----------|
| 39 × 10 = | 390 |
| 78 × 100 = | 7,800 |
| 658 × 10 = | 6,580 |
| 367 × 100 = | 36,700 |
| 21 × 10 = | 210 |
| 36 × 100 = | 3,600 |
| 204 × 10 = | 2,040 |
| 921 × 100 = | 92,100 |
| 42 × 10 = | 420 |
| 51 × 100 = | 5,100 |
| 943 × 10 = | 9,430 |
| 248 × 100 = | 24,800 |

✔ All follow the rule:
- Multiplying by 10 → add one zero
- Multiplying by 100 → add two zeros
- Multiplying by 1000 → add three zeros

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Section 3: Write the quotient in the box.

These are division problems using 10, 100, or 1000.

| Problem | Solution |
|--------|----------|
| 120 ÷ 10 = | 12 |
| 300 ÷ 100 = | 3 |
| 20 ÷ 10 = | 2 |
| 500 ÷ 100 = | 5 |
| 260 ÷ 10 = | 26 |
| 900 ÷ 100 = | 9 |
| 50 ÷ 10 = | 5 |
| 500 ÷ 100 = | 5 |
| 450 ÷ 10 = | 45 |
| 400 ÷ 100 = | 4 |
| 70 ÷ 10 = | 7 |
| 900 ÷ 100 = | 9 |

✔ Rule:
- Dividing by 10 → move decimal one place left
- Dividing by 100 → move decimal two places left
- Dividing by 1000 → move decimal three places left

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Section 4: Write the number that has been multiplied by 1000.

We’re told the result after multiplying by 1000, and we must find the original number.

So, reverse the operation: divide by 1000.

| Given Result | Original Number (÷ 1000) |
|--------------|--------------------------|
| 4,500 = 3,900? Wait — this is wrong! Let’s fix it. |

Wait — actually, the format is:

> a) 4,500 = 3,900? No, the equation is like:

Let me re-read:

It says:
> a) 4,500 = 3,900? That can’t be right.

Wait — looking again:

Actually, the format is likely:

> a) 4,500 = ? × 1000 → So, what number × 1000 = 4,500?

So we need to divide the result by 1000.

So:

| Problem | Solution |
|--------|----------|
| a) 4,500 = ? × 1000 → ? = 4,500 ÷ 1000 = 4.5 |
| b) 4,500 = ? × 1000 → ? = 4,500 ÷ 1000 = 4.5 |
| c) 3,600 = ? × 1000 → ? = 3,600 ÷ 1000 = 3.6 |
| d) 4,200 = ? × 1000 → ? = 4,200 ÷ 1000 = 4.2 |
| e) 8,600 = ? × 1000 → ? = 8,600 ÷ 1000 = 8.6 |
| f) 14,300 = ? × 1000 → ? = 14,300 ÷ 1000 = 14.3 |

But wait — the layout seems to have:

> a) 4,500 = 3,900? No — I think it's written as:

Looking at the actual worksheet:

It says:

> a) 4,500 = 3,900? No — actually, the formatting may be:

Wait — perhaps it's:

> a) 4,500 = ? × 1000 → so ? = 4.5

But in the image, it appears as:

> a) 4,500 = 3,900? That doesn't make sense.

Wait — maybe it's:

> a) 4,500 = ? × 1000 → ? = 4.5

Yes, so:

- a) 4,500 = 4.5 × 1000
- b) 4,500 = 4.5 × 1000 → same?
- c) 3,600 = 3.6 × 1000
- d) 4,200 = 4.2 × 1000
- e) 8,600 = 8.6 × 1000
- f) 14,300 = 14.3 × 1000

So the missing numbers are:

a) 4.5
b) 4.5
c) 3.6
d) 4.2
e) 8.6
f) 14.3

But why are a and b both 4,500? Possibly a typo or repetition.

Alternatively, maybe it's meant to be different numbers.

Wait — perhaps the original number is missing, and the result is given.

For example:

> a) ___ × 1000 = 4,500 → fill in blank

So blank = 4,500 ÷ 1000 = 4.5

Similarly:

> b) ___ × 1000 = 4,500 → 4.5
> c) ___ × 1000 = 3,600 → 3.6
> d) ___ × 1000 = 4,200 → 4.2
> e) ___ × 1000 = 8,600 → 8.6
> f) ___ × 1000 = 14,300 → 14.3

So answers:

a) 4.5
b) 4.5
c) 3.6
d) 4.2
e) 8.6
f) 14.3

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Section 5: Write the number that has been divided by 1000.

Now, reverse: if a number was divided by 1000, and the result is given, find the original number.

So multiply the result by 1000.

| Given Result | Original Number (× 1000) |
|--------------|--------------------------|
| a) 800 ÷ 1000 = ? → ? = 800 → But it says "has been divided by 1000", so the result is given. So: |
| a) ? ÷ 1000 = 800 → ? = 800 × 1000 = 800,000 |
| b) 21 ÷ 1000 = ? → ? = 21 × 1000 = 21,000 |
| c) 86 ÷ 1000 = ? → ? = 86 × 1000 = 86,000 |
| d) 82 ÷ 1000 = ? → ? = 82 × 1000 = 82,000 |
| e) 100 ÷ 1000 = ? → ? = 100 × 1000 = 100,000 |
| f) 18 ÷ 1000 = ? → ? = 18 × 1000 = 18,000 |
| g) 21 ÷ 1000 = ? → ? = 21 × 1000 = 21,000 |
| h) 99 ÷ 1000 = ? → ? = 99 × 1000 = 99,000 |

So the missing numbers (original numbers before division) are:

a) 800,000
b) 21,000
c) 86,000
d) 82,000
e) 100,000
f) 18,000
g) 21,000
h) 99,000

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✔ Final Answers Summary

#### Section 1:
- $ 26 \times 10 = 260 $
- $ 857 \div 10 = 85.7 $

#### Section 2: Products
| Expression | Answer |
|----------|--------|
| 39 × 10 | 390 |
| 78 × 100 | 7,800 |
| 658 × 10 | 6,580 |
| 367 × 100 | 36,700 |
| 21 × 10 | 210 |
| 36 × 100 | 3,600 |
| 204 × 10 | 2,040 |
| 921 × 100 | 92,100 |
| 42 × 10 | 420 |
| 51 × 100 | 5,100 |
| 943 × 10 | 9,430 |
| 248 × 100 | 24,800 |

#### Section 3: Quotients
| Expression | Answer |
|----------|--------|
| 120 ÷ 10 | 12 |
| 300 ÷ 100 | 3 |
| 20 ÷ 10 | 2 |
| 500 ÷ 100 | 5 |
| 260 ÷ 10 | 26 |
| 900 ÷ 100 | 9 |
| 50 ÷ 10 | 5 |
| 500 ÷ 100 | 5 |
| 450 ÷ 10 | 45 |
| 400 ÷ 100 | 4 |
| 70 ÷ 10 | 7 |
| 900 ÷ 100 | 9 |

#### Section 4: Number × 1000 = Given
| Equation | Missing Number |
|--------|----------------|
| ___ × 1000 = 4,500 | 4.5 |
| ___ × 1000 = 4,500 | 4.5 |
| ___ × 1000 = 3,600 | 3.6 |
| ___ × 1000 = 4,200 | 4.2 |
| ___ × 1000 = 8,600 | 8.6 |
| ___ × 1000 = 14,300 | 14.3 |

#### Section 5: Number ÷ 1000 = Given
| Equation | Original Number |
|--------|------------------|
| ___ ÷ 1000 = 800 | 800,000 |
| ___ ÷ 1000 = 21 | 21,000 |
| ___ ÷ 1000 = 86 | 86,000 |
| ___ ÷ 1000 = 82 | 82,000 |
| ___ ÷ 1000 = 100 | 100,000 |
| ___ ÷ 1000 = 18 | 18,000 |
| ___ ÷ 1000 = 21 | 21,000 |
| ___ ÷ 1000 = 99 | 99,000 |

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🔍 Key Concepts Used:

- Multiplying by 10, 100, 1000: Move decimal point right (add zeros).
- Dividing by 10, 100, 1000: Move decimal point left.
- To reverse multiplication by 1000: divide by 1000.
- To reverse division by 1000: multiply by 1000.

This helps build understanding of place value and powers of 10.

Let me know if you'd like a printable version or explanations for any specific question!