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) $ 0.43 \times 10 = 4.3 $
2) $ 1.25 \times 10 = 12.5 $
3) $ 10 \times 1.6 = 16 $
4) $ 4.9 \times 10 = 49 $
5) $ 10 \times 135 = 1350 $
6) $ 0.29 \times 10 = 2.9 $
7) $ 10 \times 2.8 = 28 $
8) $ 5.73 \times 10 = 57.3 $
9) $ 10 \times 3.68 = 36.8 $

✔ Explanation: Multiplying by 10 shifts the decimal one place right. For whole numbers, it adds a zero at the end (e.g., 135 → 1350).

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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) $ 42 \div 10 = 4.2 $
2) $ 91 \div 10 = 9.1 $
3) $ 760 \div 10 = 76 $
4) $ 322 \div 10 = 32.2 $
5) $ 4.8 \div 10 = 0.48 $
6) $ 17.3 \div 10 = 1.73 $
7) $ 6.3 \div 10 = 0.63 $
8) $ 250 \div 10 = 25 $
9) $ 38.1 \div 10 = 3.81 $

✔ Explanation: Dividing by 10 moves the decimal one place left. If there’s no decimal shown, add one and move (e.g., 42 → 4.2).

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

We need to find the number that is either 10 times bigger or 10 times smaller than the given number.

- If A is 10x bigger than B → $ A = 10 \times B $ → So $ B = A \div 10 $
- If A is 10x smaller than B → $ A = B \div 10 $ → So $ B = A \times 10 $

1) 28 is 10x bigger than ___
→ $ 28 \div 10 = 2.8 $ → Answer: 2.8

2) 3.4 is 10x smaller than ___
→ $ 3.4 \times 10 = 34 $ → Answer: 34

3) 0.9 is 10x smaller than ___
→ $ 0.9 \times 10 = 9 $ → Answer: 9

4) 46 is 10x bigger than ___
→ $ 46 \div 10 = 4.6 $ → Answer: 4.6

5) 3.7 is 10x bigger than ___
→ $ 3.7 \div 10 = 0.37 $ → Answer: 0.37

6) 14.5 is 10x bigger than ___
→ $ 14.5 \div 10 = 1.45 $ → Answer: 1.45

7) 0.52 is 10x smaller than ___
→ $ 0.52 \times 10 = 5.2 $ → Answer: 5.2

8) 2.34 is 10x smaller than ___
→ $ 2.34 \times 10 = 23.4 $ → Answer: 23.4

✔ Tip: "10x bigger" means multiply by 10 to get the larger number. "10x smaller" means divide by 10 to get the smaller number.

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D) Multiply or divide these numbers by 10.

Same rules apply: Move decimal one place right for ×10, one place left for ÷10.

1) $ 1.5 \times 10 = 15 $
2) $ 10 \times 0.16 = 1.6 $
3) $ 18 \div 10 = 1.8 $
4) $ 312 \div 10 = 31.2 $
5) $ 3.25 \times 10 = 32.5 $
6) $ 3.9 \div 10 = 0.39 $
7) $ 4.57 \times 10 = 45.7 $
8) $ 10 \times 6.48 = 64.8 $
9) $ 507 \div 10 = 50.7 $
10) $ 37.2 \div 10 = 3.72 $
11) $ 182 \div 10 = 18.2 $
12) $ 2.18 \times 10 = 21.8 $
13) $ 93.2 \div 10 = 9.32 $
14) $ 10 \times 7.05 = 70.5 $
15) $ 36.2 \times 10 = 362 $

✔ All follow the same rule:
- Multiply by 10 → shift decimal right
- Divide by 10 → shift decimal left

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✔ Final Answers:

#### A) Multiply by 10
1) 4.3
2) 12.5
3) 16
4) 49
5) 1350
6) 2.9
7) 28
8) 57.3
9) 36.8

#### B) Divide by 10
1) 4.2
2) 9.1
3) 76
4) 32.2
5) 0.48
6) 1.73
7) 0.63
8) 25
9) 3.81

#### C) 10x bigger/smaller
1) 2.8
2) 34
3) 9
4) 4.6
5) 0.37
6) 1.45
7) 5.2
8) 23.4

#### D) Multiply or divide by 10
1) 15
2) 1.6
3) 1.8
4) 31.2
5) 32.5
6) 0.39
7) 45.7
8) 64.8
9) 50.7
10) 3.72
11) 18.2
12) 21.8
13) 9.32
14) 70.5
15) 362

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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
This works for decimals and whole numbers alike!

Let me know if you'd like this as a printable PDF or with visual examples!