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 $ → 28 × 10 = 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:
$$
\text{Larger number} = \text{Smaller number} \times 10
$$
So, to find the smaller number: divide by 10.

- If a number is 10x smaller, then:
$$
\text{Smaller number} = \text{Larger number} \div 10
$$
So, to find the larger number: multiply by 10.

Let’s solve:

1) 70 is 10x bigger than ______
→ So, 70 = x × 10 → $ x = 70 ÷ 10 = 7 $
Answer: 7

2) 12 is 10x smaller than ______
→ So, 12 = x ÷ 10 → $ x = 12 × 10 = 120 $
Answer: 120

3) 0.8 is 10x smaller than ______
→ 0.8 = x ÷ 10 → $ x = 0.8 × 10 = 8 $
Answer: 8

4) 37 is 10x bigger than ______
→ 37 = x × 10 → $ x = 37 ÷ 10 = 3.7 $
Answer: 3.7

5) 740 is 10x bigger than ______
→ 740 = x × 10 → $ x = 740 ÷ 10 = 74 $
Answer: 74

6) 142 is 10x bigger than ______
→ 142 = x × 10 → $ x = 142 ÷ 10 = 14.2 $
Answer: 14.2

7) 5.2 is 10x smaller than ______
→ 5.2 = x ÷ 10 → $ x = 5.2 × 10 = 52 $
Answer: 52

8) 9.8 is 10x smaller than ______
→ 9.8 = x ÷ 10 → $ x = 9.8 × 10 = 98 $
Answer: 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 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 Answer Summary:

#### 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

#### 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

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

#### 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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🔍 Explanation Recap:

- Multiplying by 10: Move decimal one place right
- Dividing by 10: Move decimal one place left
- “10x bigger” means multiply by 10
- “10x smaller” means divide by 10

This concept helps build understanding of place value and decimals.

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