Decimals and percentages · Ages 9–10

Decimals and fractions worksheet

Part of: Decimals

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Decimals and percentages · Ages 9–10

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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.

1.This rectangle is cut into 10 equal parts. As a decimal, how much is shaded?
Answer:
2.2.3 = 10
Answer:
3.3.8 = 10
Answer:
4.The big square is cut into 100 equal squares. As a decimal, how much is shaded?
Answer:
5.On the number line, 4 to 5 is cut into 10 equal steps. What number does the arrow point to?
Answer:
6.On the number line, 6 to 7 is cut into 10 equal steps. What number does the arrow point to?
Answer:
7.0.55 = 10 + 100
Fill in each blank
Answer:
8.0.63 = 10 + 100
Fill in each blank
Answer:

13.A 1 m ribbon is cut into 10 equal pieces, and Tsz-hin uses 2 of them. As a decimal, how many metres does Tsz-hin use?
Working:
Answer:
14.May has 76 ten-cent coins. As a decimal, how many dollars are they worth?
Working:
Answer:
15.A box holds 100 sweets and May eats 86. As a decimal, what part of the box does May eat?
Working:
Answer:
16.Ka-lok has 51 ten-cent coins. As a decimal, how many dollars are they worth?
Working:
Answer:
17.A box holds 100 sweets and Tsz-hin eats 73. As a decimal, what part of the box does Tsz-hin eat?
Working:
Answer:
18.A 1 m ribbon is cut into 10 equal pieces, and May uses 5 of them. As a decimal, how many metres does May use?
Working:
Answer:

Show the answers and working

Decimals and fractions worksheet: Answers and working

1. 0.4
Each part is 110, that is 0.1. Count the shaded parts.
Each part is 110 = 0.1, so the shaded part is 410 = 0.4.
2. 23
There are 10 tenths in 1. How many tenths are there in 2.3?
2.3 is 23 tenths: 2310.
3. 38
There are 10 tenths in 1. How many tenths are there in 3.8?
3.8 is 38 tenths: 3810.
4. 0.45
Each square is 1100, that is 0.01. Count the shaded squares.
Each square is 1100 = 0.01, so the shaded part is 45100 = 0.45.
5. 4.3
4 to 5 is cut into 10 steps of 0.1. Count the steps from 4 to the arrow.
Each step is 0.1; 3 steps from 4 is 4.3.
6. 6.3
6 to 7 is cut into 10 steps of 0.1. Count the steps from 6 to the arrow.
Each step is 0.1; 3 steps from 6 is 6.3.
7. 5, 5
Look at the two digits after the point in 0.55: the first is tenths, the second hundredths.
The tenths digit 5 is 510; the hundredths digit 5 is 5100.
8. 6, 3
Look at the two digits after the point in 0.63: the first is tenths, the second hundredths.
The tenths digit 6 is 610; the hundredths digit 3 is 3100.

9. D. 0.38
38100 is 38 hundredths, so its last digit has to sit in the hundredths place.
38100 is 38 hundredths: 0.38.
10. False
How many decimal places does 0.88 have? Is its last digit in the tenths or the hundredths?
0.88 has two decimal places, ending in the hundredths, so it is 88100.
11. True
How many decimal places does 0.81 have? Is its last digit in the tenths or the hundredths?
0.81 has two decimal places, ending in the hundredths, so it is 81100.
12. D. 0.17
17100 is 17 hundredths, so its last digit has to sit in the hundredths place.
17100 is 17 hundredths: 0.17.

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

13. 0.2 m
1 m in 10 equal pieces makes each 110 m, or 0.1 m. How many tenths are 2 pieces?
Each piece is 110 m = 0.1 m, so Tsz-hin uses 210 m = 0.2 m.
14. 7.6 dollars
10¢ is 110 of a dollar, $0.1. What do 76 tenths make?
10¢ = 110 of a dollar = $0.1, so 76 of them are 7610 of a dollar = $7.6.
15. 0.86
Each sweet is 1100 of the box, 0.01. 86 sweets are 86 hundredths.
Each sweet is 1100 = 0.01 of the box, so May eats 86100 = 0.86 of it.
16. 5.1 dollars
10¢ is 110 of a dollar, $0.1. What do 51 tenths make?
10¢ = 110 of a dollar = $0.1, so 51 of them are 5110 of a dollar = $5.1.
17. 0.73
Each sweet is 1100 of the box, 0.01. 73 sweets are 73 hundredths.
Each sweet is 1100 = 0.01 of the box, so Tsz-hin eats 73100 = 0.73 of it.
18. 0.5 m
1 m in 10 equal pieces makes each 110 m, or 0.1 m. How many tenths are 5 pieces?
Each piece is 110 m = 0.1 m, so May uses 510 m = 0.5 m.

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