Multiply and Divide by 10 100 - Free Printable

Let's solve each section of the worksheet step by step and explain the reasoning behind each answer.

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A) Multiply these numbers by 10

When you multiply by 10, you move the decimal point one place to the right.

1) $ 0.4 \times 10 = 4.0 $ → Move decimal one place right: 0.4 → 4.0
2) $ 1.2 \times 10 = 12.0 $ → 1.2 → 12.0
3) $ 10 \times 16 = 160 $ → 10 × 16 = 160 (whole number multiplication)
4) $ 1.9 \times 10 = 19.0 $ → 1.9 → 19.0
5) $ 10 \times 13.5 = 135.0 $ → 13.5 → 135.0
6) $ 0.9 \times 10 = 9.0 $ → 0.9 → 9.0
7) $ 10 \times 28 = 280 $ → 10 × 28 = 280
8) $ 25.7 \times 10 = 257.0 $ → 25.7 → 257.0
9) $ 10 \times 46.8 = 468.0 $ → 46.8 → 468.0

✔ Answers A:
1) 4.0 2) 12.0 3) 160 4) 19.0 5) 135.0 6) 9.0 7) 280 8) 257.0 9) 468.0

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B) Divide these numbers by 10

When you divide by 10, you move the decimal point one place to the left.

1) $ 12 \div 10 = 1.2 $ → 12 → 1.2
2) $ 90 \div 10 = 9.0 $ → 90 → 9.0
3) $ 500 \div 10 = 50.0 $ → 500 → 50.0
4) $ 220 \div 10 = 22.0 $ → 220 → 22.0
5) $ 48 \div 10 = 4.8 $ → 48 → 4.8
6) $ 143 \div 10 = 14.3 $ → 143 → 14.3
7) $ 630 \div 10 = 63.0 $ → 630 → 63.0
8) $ 900 \div 10 = 90.0 $ → 900 → 90.0
9) $ 181 \div 10 = 18.1 $ → 181 → 18.1

✔ Answers B:
1) 1.2 2) 9.0 3) 50.0 4) 22.0 5) 4.8 6) 14.3 7) 63.0 8) 90.0 9) 18.1

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C) Ten times bigger or smaller. Fill in the missing numbers.

We are told whether a number is 10 times bigger or 10 times smaller than another number.

- If a number is 10x bigger, then:
$$
\text{Original} \times 10 = \text{Given}
\Rightarrow \text{Original} = \frac{\text{Given}}{10}
$$

- If a number is 10x smaller, then:
$$
\text{Original} \div 10 = \text{Given}
\Rightarrow \text{Original} = \text{Given} \times 10
$$

Now solve:

1) 70 is 10x bigger than ___
→ So, $ x \times 10 = 70 $ → $ x = 70 \div 10 = 7 $

2) 12 is 10x smaller than ___
→ So, $ x \div 10 = 12 $ → $ x = 12 \times 10 = 120 $

3) 0.8 is 10x smaller than ___
→ $ x \div 10 = 0.8 $ → $ x = 0.8 \times 10 = 8 $

4) 37 is 10x bigger than ___
→ $ x \times 10 = 37 $ → $ x = 37 \div 10 = 3.7 $

5) 740 is 10x bigger than ___
→ $ x \times 10 = 740 $ → $ x = 740 \div 10 = 74 $

6) 142 is 10x bigger than ___
→ $ x \times 10 = 142 $ → $ x = 142 \div 10 = 14.2 $

7) 5.2 is 10x smaller than ___
→ $ x \div 10 = 5.2 $ → $ x = 5.2 \times 10 = 52 $

8) 9.8 is 10x smaller than ___
→ $ x \div 10 = 9.8 $ → $ x = 9.8 \times 10 = 98 $

✔ Answers C:
1) 7 2) 120 3) 8 4) 3.7 5) 74 6) 14.2 7) 52 8) 98

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D) Multiply or divide these numbers by 10

Again, use the same rules:
- Multiply by 10 → move decimal right
- Divide by 10 → move decimal left

1) $ 3.5 \times 10 = 35.0 $
2) $ 10 \times 0.6 = 6.0 $
3) $ 180 \div 10 = 18.0 $
4) $ 16 \div 10 = 1.6 $
5) $ 3.2 \times 10 = 32.0 $
6) $ 39 \div 10 = 3.9 $
7) $ 452 \times 10 = 4520 $
8) $ 10 \times 64.8 = 648.0 $
9) $ 527 \div 10 = 52.7 $
10) $ 172 \div 10 = 17.2 $
11) $ 140 \div 10 = 14.0 $
12) $ 21.8 \times 10 = 218.0 $
13) $ 635 \div 10 = 63.5 $
14) $ 10 \times 34.8 = 348.0 $
15) $ 6.2 \times 10 = 62.0 $

✔ Answers D:
1) 35.0 2) 6.0 3) 18.0 4) 1.6 5) 32.0 6) 3.9 7) 4520 8) 648.0 9) 52.7
10) 17.2 11) 14.0 12) 218.0 13) 63.5 14) 348.0 15) 62.0

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✔ Final Answers Summary:

#### A) Multiply by 10
1) 4.0
2) 12.0
3) 160
4) 19.0
5) 135.0
6) 9.0
7) 280
8) 257.0
9) 468.0

#### B) Divide by 10
1) 1.2
2) 9.0
3) 50.0
4) 22.0
5) 4.8
6) 14.3
7) 63.0
8) 90.0
9) 18.1

#### C) 10x bigger/smaller
1) 7
2) 120
3) 8
4) 3.7
5) 74
6) 14.2
7) 52
8) 98

#### D) Multiply or divide by 10
1) 35.0
2) 6.0
3) 18.0
4) 1.6
5) 32.0
6) 3.9
7) 4520
8) 648.0
9) 52.7
10) 17.2
11) 14.0
12) 218.0
13) 63.5
14) 348.0
15) 62.0

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📝 Key Concept Recap:

- Multiplying by 10: Move decimal one place to the right.
- Dividing by 10: Move decimal one place to the left.
- When there’s no decimal shown (e.g., 16), think of it as 16.0.

This helps with mental math and understanding place value!

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