Decimals and percentages · Ages 11–12
Comparing fractions as decimals worksheet
Part of: Dividing decimals; fractions to decimals
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Comparing fractions as decimals worksheet
Decimals and percentages · Ages 11–12
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.As a decimal, how much bigger is 15 than 0.05?
Answer:
2.As a decimal, how much bigger is 1125 than 0.3?
Answer:
3.As a decimal, how much bigger is 58 than 0.2?
Answer:
4.Put these numbers in order, smallest first.
- A. 58
- B. 14
- C. 0.29
- D. 0.655
Write the letters in the right order
Answer:
5.0.01 < 5 < 0.39. Which whole number is ?
Answer:
6.0.61 < 5 < 0.99. Which whole number is ?
Answer:
7.0.385 < 8 < 0.615. Which whole number is ?
Answer:
Part B: Choose, or true or false (2 marks each)
8.Which number is the largest?
- A. 0.9
- B. 58
- C. 0.58
- D. 35
Choose the right answer
Answer:
9.35 is greater than 0.57.
True or false?
Answer:
10.78 is greater than 0.89.
True or false?
Answer:
11.Which fraction is between 0.5 and 0.6?
- A. 35
- B. 127
- C. 12
- D. 712
Choose the right answer
Answer:
12.Which fraction is between 0.7 and 0.8?
- A. 710
- B. 57
- C. 45
- D. 75
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.Tsz-hin runs 38 km, Ka-yee runs 0.15 km and May runs 1225 km. How much further does the one who runs furthest go than the one who runs least?
Working:
Answer:
14.Chi-keung drinks 45 L of juice and Tsz-hin drinks 0.85 L. How many more litres does the one who drinks more have?
Working:
Answer:
15.In a basketball game, Team A took 10 shots and scored 2; Team B took 20 and scored 8; Team C took 25 and scored 7. Which team had the best scoring rate?
- A. Team C
- B. All the same
- C. Team B
- D. Team A
Choose the right answer
Working:
Answer:
16.In a basketball game, Team A took 20 shots and scored 5; Team B took 25 and scored 21; Team C took 10 and scored 9. Which team had the best scoring rate?
- A. Team C
- B. Team B
- C. Team A
- D. All the same
Choose the right answer
Working:
Answer:
17.Ka-yee runs 78 km, Ka-lok runs 0.55 km and Tsz-ching runs 825 km. How much further does the one who runs furthest go than the one who runs least?
Working:
Answer:
18.Ka-yee drinks 15 L of juice and Ming drinks 0.85 L. How many more litres does the one who drinks more have?
Working:
Answer:
Show the answers and working
Comparing fractions as decimals worksheet: Answers and working
Part A: Working out and filling in
1. 0.15
Turn 15 into a decimal first, 1 ÷ 5, then take 0.05 away.
15 = 0.2, and 0.2 − 0.05 = 0.15.
2. 0.14
Turn 1125 into a decimal first, 11 ÷ 25, then take 0.3 away.
1125 = 0.44, and 0.44 − 0.3 = 0.14.
3. 0.425
Turn 58 into a decimal first, 5 ÷ 8, then take 0.2 away.
58 = 0.625, and 0.625 − 0.2 = 0.425.
4. B → C → A → D
Turn 14 and 58 into decimals first; with all four as decimals they are easy to compare.
14 = 0.25 and 58 = 0.625; as decimals: 0.25 < 0.29 < 0.625 < 0.655.
5. 1
Try 15, 25, 35… as decimals and see which falls between 0.01 and 0.39.
Try each □5 as a decimal: only 15 is between 0.01 and 0.39.
6. 4
Try 15, 25, 35… as decimals and see which falls between 0.61 and 0.99.
Try each □5 as a decimal: only 45 is between 0.61 and 0.99.
7. 4
Try 18, 28, 38… as decimals and see which falls between 0.385 and 0.615.
Try each □8 as a decimal: only 48 is between 0.385 and 0.615.
Part B: Choose, or true or false
8. A. 0.9
Turn 58 and 35 into decimals, then compare them with 0.9 and 0.58 from the tenths.
58 = 0.625 and 35 = 0.6; comparing with 0.9 and 0.58 place by place, the largest is 0.9.
9. True
Turn 35 into a decimal first: 3 ÷ 5. Then compare it with 0.57 place by place.
35 = 3 ÷ 5 = 0.6; then compare it with 0.57 place by place.
10. False
Turn 78 into a decimal first: 7 ÷ 8. Then compare it with 0.89 place by place.
78 = 7 ÷ 8 = 0.875; then compare it with 0.89 place by place.
11. D. 712
Turn each fraction into a decimal (numerator ÷ denominator) and see which lands between 0.5 and 0.6.
712 = 7 ÷ 12, which is between 0.5 and 0.6.
12. B. 57
Turn each fraction into a decimal (numerator ÷ denominator) and see which lands between 0.7 and 0.8.
57 = 5 ÷ 7, which is between 0.7 and 0.8.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 0.33 km
Turn 38 and 1225 into decimals, then compare with 0.15 to find the furthest and the least.
38 = 0.375 and 1225 = 0.48; furthest 0.48, least 0.15: 0.48 − 0.15 = 0.33.
14. 0.05 L
Turn 45 into a decimal first, 4 ÷ 5, then compare with 0.85 to see who had more.
45 = 0.8; compare with 0.85 and take the smaller from the bigger: 0.05 L.
15. C. Team B
Scoring rate = scored ÷ shots. Turn all three teams' rates into decimals, then compare.
Rate = scored ÷ shots: A 0.2, B 0.4, C 0.28; then compare.
16. A. Team C
Scoring rate = scored ÷ shots. Turn all three teams' rates into decimals, then compare.
Rate = scored ÷ shots: A 0.25, B 0.84, C 0.9; then compare.
17. 0.555 km
Turn 78 and 825 into decimals, then compare with 0.55 to find the furthest and the least.
78 = 0.875 and 825 = 0.32; furthest 0.875, least 0.32: 0.875 − 0.32 = 0.555.
18. 0.65 L
Turn 15 into a decimal first, 1 ÷ 5, then compare with 0.85 to see who had more.
15 = 0.2; compare with 0.85 and take the smaller from the bigger: 0.65 L.
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