Decimals and percentages · Ages 9–10

Adding tenths and hundredths worksheet

Part of: Decimals

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Decimals and percentages · Ages 9–10

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

13.A square mural is made of 100 small tiles, 10 to a row. 1 whole rows are blue, and 8 more tiles are yellow. Blue and yellow together make 100 of the mural.
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14.On a 1 km track, Ka-lok runs 310 km, rests, then runs 2100 km more. As a decimal, how many km does Ka-lok run in all?
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15.A jug holds 1 litre of water. Ka-yan pours out 110 l, then 3100 l more. 100 l is left in the jug.
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16.A rope is 1 m long. Ka-yee cuts off 210 m, then 4100 m more. Altogether Ka-yee cuts off 100 m.
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17.A square mural is made of 100 small tiles, 10 to a row. 8 whole rows are blue, and 5 more tiles are yellow. Blue and yellow together make 100 of the mural.
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18.On a 1 km track, Ka-yee runs 110 km, rests, then runs 3100 km more. As a decimal, how many km does Ka-yee run in all?
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Show the answers and working

Adding tenths and hundredths worksheet: Answers and working

1. 38
First turn 310 into hundredths: multiply the numerator and denominator by 10.
310 = 30100, and 30100 + 8100 = 38100.
2. 90
One row of a hundred square is 10 squares, which is 110. How many squares are in 9 rows?
One row of the hundred square is 110 and also 10 squares: 9 rows are 90 squares, so 910 = 90100.
3. 10
One row of a hundred square is 10 squares, which is 110. How many squares are in 1 rows?
One row of the hundred square is 110 and also 10 squares: 1 rows are 10 squares, so 110 = 10100.
4. 0.12
Write each as a decimal: 110 goes in the tenths, 2100 in the hundredths.
110 = 0.1 and 2100 = 0.02; together 0.12.
5. 98
Turn 610 into hundredths first (numerator and denominator times 10), then add 38100.
610 = 60100, and 60 + 38 = 98: 98100.
6. 8
Take 7100 from 87100 first, then write what is left in tenths.
87100 − 7100 = 80100 = 810.
7. 50
Turn 310 into a fraction over 100 first; then you can take it from 80100.
310 = 30100, and 80100 − 30100 = 50100.
8. 2
Turn 510 into a fraction over 100 first; then you can take it from 52100.
510 = 50100, and 52100 − 50100 = 2100.

9. B
How many whole rows is 710? How many squares is 8100?
710 is 7 rows (70 squares), plus 8 squares: 78 in all.
10. C
How many whole rows is 210? How many squares is 5100?
210 is 2 rows (20 squares), plus 5 squares: 25 in all.
11. True
Turn 410 into hundredths, add 5100, and check whether the numerator comes to 45.
410 = 40100; with 5100 that makes 45100.
12. D. 66100
You can't add with different denominators. First turn 610 into a fraction over 100.
610 = 60100; add 6100: 66100.

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

13. 18
10 tiles to a row: one row is 110, which is also 10100. How many tiles are in 1 rows?
1 rows are 110 = 10100; add 8100: 18100.
14. 0.32 km
Write each stretch as a decimal: 310 goes in the tenths, 2100 in the hundredths.
310 = 0.3 and 2100 = 0.02: 0.3 + 0.02 = 0.32.
15. 87
First find how much was poured out: turn 110 into hundredths, then add 3100.
The full 1 l is 100100 l; subtract what was poured out.
Poured out: 10100 + 3100 = 13100 l. 1 = 100100, and 100100 − 13100 = 87100.
16. 24
First turn 210 m into hundredths: multiply the numerator and denominator by 10.
210 = 20100, and 20100 + 4100 = 24100.
17. 85
10 tiles to a row: one row is 110, which is also 10100. How many tiles are in 8 rows?
8 rows are 810 = 80100; add 5100: 85100.
18. 0.13 km
Write each stretch as a decimal: 110 goes in the tenths, 3100 in the hundredths.
110 = 0.1 and 3100 = 0.03: 0.1 + 0.03 = 0.13.

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