Math worksheet for practicing multiplication and division by 10, featuring decimal numbers and problem-solving exercises.

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 $
→ Move decimal one place right: 0.43 → 4.3

2) $ 1.25 \times 10 = 12.5 $
→ 1.25 → 12.5

3) $ 10 \times 1.6 = 16 $
→ 1.6 → 16 (same as multiplying 1.6 by 10)

4) $ 4.9 \times 10 = 49 $
→ 4.9 → 49

5) $ 10 \times 135 = 1350 $
→ 135 → 1350 (add a zero at the end since it's a whole number)

6) $ 0.29 \times 10 = 2.9 $
→ 0.29 → 2.9

7) $ 10 \times 2.8 = 28 $
→ 2.8 → 28

8) $ 5.73 \times 10 = 57.3 $
→ 5.73 → 57.3

9) $ 10 \times 3.68 = 36.8 $
→ 3.68 → 36.8

✔ A Answers:
1) 4.3 2) 12.5 3) 16 4) 49 5) 1350 6) 2.9 7) 28 8) 57.3 9) 36.8

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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 $
→ 42 → 4.2

2) $ 91 \div 10 = 9.1 $
→ 91 → 9.1

3) $ 760 \div 10 = 76 $
→ 760 → 76

4) $ 322 \div 10 = 32.2 $
→ 322 → 32.2

5) $ 4.8 \div 10 = 0.48 $
→ 4.8 → 0.48

6) $ 17.3 \div 10 = 1.73 $
→ 17.3 → 1.73

7) $ 6.3 \div 10 = 0.63 $
→ 6.3 → 0.63

8) $ 250 \div 10 = 25 $
→ 250 → 25

9) $ 38.1 \div 10 = 3.81 $
→ 38.1 → 3.81

✔ B Answers:
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

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

We are told how a number relates to another — either 10 times bigger or 10 times smaller.

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

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

Let’s go through each:

1) 28 is 10x bigger than ______
→ So, $ 28 = 10 \times ? $ → $ ? = 28 \div 10 = 2.8 $

2) 3.4 is 10x smaller than ______
→ So, $ 3.4 = ? \div 10 $ → $ ? = 3.4 \times 10 = 34 $

3) 0.9 is 10x smaller than ______
→ $ 0.9 = ? \div 10 $ → $ ? = 0.9 \times 10 = 9 $

4) 46 is 10x bigger than ______
→ $ 46 = 10 \times ? $ → $ ? = 46 \div 10 = 4.6 $

5) 3.7 is 10x bigger than ______
→ $ 3.7 = 10 \times ? $ → $ ? = 3.7 \div 10 = 0.37 $

6) 14.5 is 10x bigger than ______
→ $ 14.5 = 10 \times ? $ → $ ? = 14.5 \div 10 = 1.45 $

7) 0.52 is 10x smaller than ______
→ $ 0.52 = ? \div 10 $ → $ ? = 0.52 \times 10 = 5.2 $

8) 2.34 is 10x smaller than ______
→ $ 2.34 = ? \div 10 $ → $ ? = 2.34 \times 10 = 23.4 $

✔ C Answers:
1) 2.8 2) 34 3) 9 4) 4.6 5) 0.37 6) 1.45 7) 5.2 8) 23.4

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D) Multiply or divide these numbers by 10

Same rules apply:
- Multiply → move decimal right
- Divide → move decimal left

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 $

✔ D Answers:
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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✔ Final Answer Summary:

#### 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) Ten times 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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🔍 Explanation Recap:

- Multiplying by 10: Move decimal point one place to the right
- Dividing by 10: Move decimal point one place to the left
- For "10x bigger": divide the given number by 10
- For "10x smaller": multiply the given number by 10

This concept is foundational for understanding place value and decimal operations.

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