Multiply and Divide by 10 100 - Free Printable

Problem Overview:

The worksheet involves multiplying and dividing numbers by 10 and 100, with some problems requiring three decimal places (3dp). The goal is to solve each problem by applying the rules of multiplication and division involving powers of 10.

Key Rules:

1. Multiplying by 10: Move the decimal point one place to the right.
2. Dividing by 10: Move the decimal point one place to the left.
3. Multiplying by 100: Move the decimal point two places to the right.
4. Dividing by 100: Move the decimal point two places to the left.

Solution Approach:

We will solve each problem step-by-step using these rules.

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Problem Solutions:

#### Section 1: Multiplying and Dividing by 10

1. 1) \_\_\_ × 10 = 132.51
- To find the missing number, divide 132.51 by 10.
- \( 132.51 ÷ 10 = 13.251 \)
- Answer: 13.251

2. 2) 641.35 ÷ \_\_\_ = 64.135
- To find the missing divisor, note that dividing by 10 moves the decimal point one place to the left.
- Answer: 10

3. 3) 79.212 × 100 = \_\_\_
- Multiply 79.212 by 100 by moving the decimal point two places to the right.
- \( 79.212 × 100 = 7921.2 \)
- Answer: 7921.2

4. 4) 764.36 ÷ \_\_\_ = 76.436
- To find the missing divisor, note that dividing by 10 moves the decimal point one place to the left.
- Answer: 10

5. 5) \_\_\_ ÷ 10 = 56.164
- To find the missing number, multiply 56.164 by 10.
- \( 56.164 × 10 = 561.64 \)
- Answer: 561.64

6. 6) 61.402 × \_\_\_ = 6140.2
- To find the missing multiplier, note that multiplying by 100 moves the decimal point two places to the right.
- Answer: 100

7. 7) 71.096 × \_\_\_ = 7109.6
- To find the missing multiplier, note that multiplying by 100 moves the decimal point two places to the right.
- Answer: 100

8. 8) \_\_\_ ÷ 10 = 90.384
- To find the missing number, multiply 90.384 by 10.
- \( 90.384 × 10 = 903.84 \)
- Answer: 903.84

9. 9) \_\_\_ ÷ 10 = 16.413
- To find the missing number, multiply 16.413 by 10.
- \( 16.413 × 10 = 164.13 \)
- Answer: 164.13

10. 10) 989.99 ÷ 10 = \_\_\_
- Divide 989.99 by 10 by moving the decimal point one place to the left.
- \( 989.99 ÷ 10 = 98.999 \)
- Answer: 98.999

11. 11) 76.054 × 10 = \_\_\_
- Multiply 76.054 by 10 by moving the decimal point one place to the right.
- \( 76.054 × 10 = 760.54 \)
- Answer: 760.54

12. 12) 53.749 × 100 = \_\_\_
- Multiply 53.749 by 100 by moving the decimal point two places to the right.
- \( 53.749 × 100 = 5374.9 \)
- Answer: 5374.9

13. 13) 484.66 ÷ \_\_\_ = 48.466
- To find the missing divisor, note that dividing by 10 moves the decimal point one place to the left.
- Answer: 10

14. 14) 59.906 × 100 = \_\_\_
- Multiply 59.906 by 100 by moving the decimal point two places to the right.
- \( 59.906 × 100 = 5990.6 \)
- Answer: 5990.6

15. 15) 31.779 × \_\_\_ = 317.79
- To find the missing multiplier, note that multiplying by 10 moves the decimal point one place to the right.
- Answer: 10

16. 16) \_\_\_ ÷ 100 = 41.078
- To find the missing number, multiply 41.078 by 100.
- \( 41.078 × 100 = 4107.8 \)
- Answer: 4107.8

17. 17) 253.15 ÷ \_\_\_ = 25.315
- To find the missing divisor, note that dividing by 10 moves the decimal point one place to the left.
- Answer: 10

18. 18) 810.3 ÷ \_\_\_ = 81.03
- To find the missing divisor, note that dividing by 10 moves the decimal point one place to the left.
- Answer: 10

19. 19) 5.211 × 10 = \_\_\_
- Multiply 5.211 by 10 by moving the decimal point one place to the right.
- \( 5.211 × 10 = 52.11 \)
- Answer: 52.11

20. 20) \_\_\_ × 100 = 582
- To find the missing number, divide 582 by 100.
- \( 582 ÷ 100 = 5.82 \)
- Answer: 5.82

21. 21) 6343.6 ÷ \_\_\_ = 63.436
- To find the missing divisor, note that dividing by 100 moves the decimal point two places to the left.
- Answer: 100

22. 22) 51.007 × 100 = \_\_\_
- Multiply 51.007 by 100 by moving the decimal point two places to the right.
- \( 51.007 × 100 = 5100.7 \)
- Answer: 5100.7

23. 23) 6715.7 ÷ \_\_\_ = 67.157
- To find the missing divisor, note that dividing by 100 moves the decimal point two places to the left.
- Answer: 100

24. 24) 6.513 × \_\_\_ = 651.3
- To find the missing multiplier, note that multiplying by 100 moves the decimal point two places to the right.
- Answer: 100

25. 25) \_\_\_ ÷ 10 = 36.061
- To find the missing number, multiply 36.061 by 10.
- \( 36.061 × 10 = 360.61 \)
- Answer: 360.61

26. 26) 264.58 ÷ 10 = \_\_\_
- Divide 264.58 by 10 by moving the decimal point one place to the left.
- \( 264.58 ÷ 10 = 26.458 \)
- Answer: 26.458

27. 27) \_\_\_ × 100 = 8099
- To find the missing number, divide 8099 by 100.
- \( 8099 ÷ 100 = 80.99 \)
- Answer: 80.99

28. 28) \_\_\_ × 100 = 2290.6
- To find the missing number, divide 2290.6 by 100.
- \( 2290.6 ÷ 100 = 22.906 \)
- Answer: 22.906

29. 29) \_\_\_ ÷ 100 = 81.774
- To find the missing number, multiply 81.774 by 100.
- \( 81.774 × 100 = 8177.4 \)
- Answer: 8177.4

30. 30) \_\_\_ × 10 = 402.24
- To find the missing number, divide 402.24 by 10.
- \( 402.24 ÷ 10 = 40.224 \)
- Answer: 40.224

31. 31) 7280.8 ÷ 100 = \_\_\_
- Divide 7280.8 by 100 by moving the decimal point two places to the left.
- \( 7280.8 ÷ 100 = 72.808 \)
- Answer: 72.808

32. 32) \_\_\_ × 10 = 851.18
- To find the missing number, divide 851.18 by 10.
- \( 851.18 ÷ 10 = 85.118 \)
- Answer: 85.118

33. 33) 98.947 × \_\_\_ = 9894.7
- To find the missing multiplier, note that multiplying by 100 moves the decimal point two places to the right.
- Answer: 100

34. 34) 3163.8 ÷ \_\_\_ = 31.638
- To find the missing divisor, note that dividing by 100 moves the decimal point two places to the left.
- Answer: 100

35. 35) \_\_\_ × 10 = 361.89
- To find the missing number, divide 361.89 by 10.
- \( 361.89 ÷ 10 = 36.189 \)
- Answer: 36.189

36. 36) 723.5 ÷ \_\_\_ = 7.235
- To find the missing divisor, note that dividing by 100 moves the decimal point two places to the left.
- Answer: 100

37. 37) 87.832 × \_\_\_ = 878.32
- To find the missing multiplier, note that multiplying by 10 moves the decimal point one place to the right.
- Answer: 10

38. 38) 75.834 × \_\_\_ = 7583.4
- To find the missing multiplier, note that multiplying by 100 moves the decimal point two places to the right.
- Answer: 100

39. 39) \_\_\_ ÷ 10 = 71.493
- To find the missing number, multiply 71.493 by 10.
- \( 71.493 × 10 = 714.93 \)
- Answer: 714.93

40. 40) 1546.1 ÷ \_\_\_ = 15.461
- To find the missing divisor, note that dividing by 100 moves the decimal point two places to the left.
- Answer: 100

41. 41) 3784 ÷ 100 = \_\_\_
- Divide 3784 by 100 by moving the decimal point two places to the left.
- \( 3784 ÷ 100 = 37.84 \)
- Answer: 37.84

42. 42) \_\_\_ × 100 = 6574.5
- To find the missing number, divide 6574.5 by 100.
- \( 6574.5 ÷ 100 = 65.745 \)
- Answer: 65.745

43. 43) 693.16 ÷ \_\_\_ = 69.316
- To find the missing divisor, note that dividing by 10 moves the decimal point one place to the left.
- Answer: 10

44. 44) \_\_\_ × 100 = 7111.2
- To find the missing number, divide 7111.2 by 100.
- \( 7111.2 ÷ 100 = 71.112 \)
- Answer: 71.112

45. 45) 97.141 × 10 = \_\_\_
- Multiply 97.141 by 10 by moving the decimal point one place to the right.
- \( 97.141 × 10 = 971.41 \)
- Answer: 971.41

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Final Answer:

\[
\boxed{
\begin{array}{lll}
1) 13.251 & 2) 10 & 3) 7921.2 \\
4) 10 & 5) 561.64 & 6) 100 \\
7) 100 & 8) 903.84 & 9) 164.13 \\
10) 98.999 & 11) 760.54 & 12) 5374.9 \\
13) 10 & 14) 5990.6 & 15) 10 \\
16) 4107.8 & 17) 10 & 18) 10 \\
19) 52.11 & 20) 5.82 & 21) 100 \\
22) 5100.7 & 23) 100 & 24) 100 \\
25) 360.61 & 26) 26.458 & 27) 80.99 \\
28) 22.906 & 29) 8177.4 & 30) 40.224 \\
31) 72.808 & 32) 85.118 & 33) 100 \\
34) 100 & 35) 36.189 & 36) 100 \\
37) 10 & 38) 100 & 39) 714.93 \\
40) 100 & 41) 37.84 & 42) 65.745 \\
43) 10 & 44) 71.112 & 45) 971.41 \\
\end{array}
}
\]