Decimals and percentages · Ages 10–11

Multiplying by 0.1, 0.01 and 0.001 worksheet

Part of: Multiplying decimals

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Decimals and percentages · Ages 10–11

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

13.1 g = 0.001 kg. A bag of flour weighs 6294 g. How many kilograms is that?
Working:
Answer:
14.A box of chocolates usually costs $60.3. In today's clearance it sells for 0.1 times that price. How many dollars do 100 boxes cost?
Working:
Answer:
15.A model is 0.01 times the size of the real thing. The real thing is 45.5 m long. How long is the model?
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Answer:
16.A sheet of paper is about 0.1 mm thick. About how many millimetres thick is a pile of 448 sheets?
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Answer:
17.A sheet of paper is about 0.1 mm thick. About how many millimetres thick is a pile of 685 sheets?
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Answer:
18.1 g = 0.001 kg. A bag of flour weighs 6698 g. How many kilograms is that?
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Answer:

Show the answers and working

Multiplying by 0.1, 0.01 and 0.001 worksheet: Answers and working

1. 79.067
× 0.1 is the same as ÷ 10. Which way does the point in 790.67 move, and by how many places?
× 0.1 is ÷ 10: the point moves one place left, 79.067.
2. 3.4918
× 0.01 is ÷ 100. How many places left does the point in 349.18 move? Fill with zeros if needed.
× 0.01 is ÷ 100: the point moves two places left, with zeros in front if needed: 3.4918.
3. 60.585
× 0.1 is the same as ÷ 10. Which way does the point in 605.85 move, and by how many places?
× 0.1 is ÷ 10: the point moves one place left, 60.585.
4. 1.0858
× 0.01 is ÷ 100. How many places left does the point in 108.58 move? Fill with zeros if needed.
× 0.01 is ÷ 100: the point moves two places left, with zeros in front if needed: 1.0858.
5. 0.01
Compare 646.3 with 6.463: how many places left has the point moved?
646.3 became 6.463: the point moved 2 places left, which is ÷ 100, so × 0.01.
6. 0.543
× 0.001 is ÷ 1000. How many places left does the point in 543 move?
× 0.001 is ÷ 1000: the point moves three places left: 0.543.
7. 0.001
Compare 75.2 with 0.0752: how many places left has the point moved?
75.2 became 0.0752: the point moved 3 places left, which is ÷ 1000, so × 0.001.
8. 30.15
Work left to right: × 0.01 moves the point left, then × 10 moves it right. How many places each?
Left to right: × 0.01 moves the point left, × 10 moves it right: 30.15.

9. A. 473.65 ÷ 100
0.01 is 1100. Multiplying by 0.01 is the same as dividing by what?
0.01 = 1100, so × 0.01 is ÷ 100.
10. A. 84.46 ÷ 100
0.01 is 1100. Multiplying by 0.01 is the same as dividing by what?
0.01 = 1100, so × 0.01 is ÷ 100.
11. False
No working needed: is 0.001 more or less than 1?
Multiplying by more than 1 makes it bigger; by less than 1 (0.1, 0.01, 0.001), smaller.
12. False
No working needed: is 0.001 more or less than 1?
Multiplying by more than 1 makes it bigger; by less than 1 (0.1, 0.01, 0.001), smaller.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 6.294 kg
6294 g is 6294 × 0.001 kg. Multiplying by 0.001 is dividing by what?
6294 × 0.001 = 6294 ÷ 1000 = 6.294 kg.
14. 603 dollars
Find today's price of one box first, 60.3 × 0.1, then multiply by 100.
Each box is 60.3 × 0.1; 100 boxes, × 100: $603.
15. 0.455 m
The model is 45.5 × 0.01 m long. Multiplying by 0.01 moves the point how many places left?
45.5 × 0.01 = 45.5 ÷ 100 = 0.455 m.
16. 44.8 mm
448 sheets is 448 × 0.1 mm. Multiplying by 0.1 is the same as dividing by what?
448 × 0.1 = 448 ÷ 10 = 44.8 mm.
17. 68.5 mm
685 sheets is 685 × 0.1 mm. Multiplying by 0.1 is the same as dividing by what?
685 × 0.1 = 685 ÷ 10 = 68.5 mm.
18. 6.698 kg
6698 g is 6698 × 0.001 kg. Multiplying by 0.001 is dividing by what?
6698 × 0.001 = 6698 ÷ 1000 = 6.698 kg.

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