Decimals and percentages · Ages 10–11
Rounding decimals worksheet
Part of: Multiplying decimals
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Rounding decimals worksheet
Decimals and percentages · Ages 10–11
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.Round 43.6611 to two decimal places: about
Answer:
2.Round 90.744 to one decimal place: about
Answer:
3.Round 26.7647 to two decimal places: about
Answer:
4.3.32 × 1.9 ≈ (rounded to one decimal place)
Answer:
5.5.96 × 2.58 ≈ (rounded to two decimal places)
Answer:
6.3.39 × 6.82 ≈ (rounded to two decimal places)
Answer:
7.3.29 × 8.1 ≈ (rounded to one decimal place)
Answer:
8.A number with two decimal places rounds to 81.3 at one decimal place. What is the biggest it can be?
Answer:
9.A number with two decimal places rounds to 95.2 at one decimal place. What is the biggest it can be?
Answer:
Part B: Choose, or true or false (2 marks each)
10.Round 42.0382 to two decimal places. Which is the result?
- A. 42.038
- B. 42
- C. 42.04
- D. 42.03
Choose the right answer
Answer:
11.Round 36.3769 to two decimal places. Which is the result?
- A. 36.377
- B. 36.37
- C. 36.4
- D. 36.38
Choose the right answer
Answer:
12.98.054 ≈ 98.1 (rounded to one decimal place)
True or false?
Answer:
Part C: Word problems (4 marks each)
13.1 inch is about 2.54 cm. A tablet screen is 14.1 inches wide. About how many centimetres is that (rounded to one decimal place)?
Working:
Answer:
14.Beef is $48.5 a kilogram, and Chi-keung's mum buys 1.4 kg. How many dollars does she pay (rounded to one decimal place)?
Working:
Answer:
15.A kind of wire weighs 7.94 kg a metre. A coil of it is 6.29 m long. About how many kilograms does it weigh (rounded to two decimal places)?
Working:
Answer:
16.1 US dollar buys 7.8 Hong Kong dollars. How many Hong Kong dollars do 27.6 US dollars buy (rounded to one decimal place)?
Working:
Answer:
17.Each of Ka-yan's steps is about 0.52 m. Ka-yan takes 636 steps. About how many metres is that (rounded to a whole number)?
Working:
Answer:
18.1 US dollar buys 7.8 Hong Kong dollars. How many Hong Kong dollars do 88.6 US dollars buy (rounded to one decimal place)?
Working:
Answer:
Show the answers and working
Rounding decimals worksheet: Answers and working
Part A: Working out and filling in
1. 43.66
For two decimal places, the thousandths digit decides. Find it in 43.6611 first.
The thousandths digit, 1, decides the hundredths: 43.6611 ≈ 43.66.
2. 90.7
To round to one decimal place, the hundredths digit decides. Find the hundredths digit of 90.744 first.
Look at the hundredths, 4: 0–4 down, 5–9 up. 90.744 ≈ 90.7.
3. 26.76
For two decimal places, the thousandths digit decides. Find it in 26.7647 first.
The thousandths digit, 4, decides the hundredths: 26.7647 ≈ 26.76.
4. 6.3
Work out the exact product 3.32 × 1.9 first, and round on the hundredths only at the end.
The exact product first: 3.32 × 1.9 = 6.308; then round on the hundredths: ≈ 6.3.
5. 15.38
Work out the exact product 5.96 × 2.58 first, then round on the thousandths.
5.96 × 2.58 = 15.3768; round on the thousandths to two places: ≈ 15.38.
6. 23.12
Work out the exact product 3.39 × 6.82 first, then round on the thousandths.
3.39 × 6.82 = 23.1198; round on the thousandths to two places: ≈ 23.12.
7. 26.6
Work out the exact product 3.29 × 8.1 first, and round on the hundredths only at the end.
The exact product first: 3.29 × 8.1 = 26.649; then round on the hundredths: ≈ 26.6.
8. 81.34
Which hundredths digits leave it at 81.3 rather than rounding up past it?
A hundredths digit of 5 or more would round up past 81.3, so the most it can have is 4: 81.34.
9. 95.24
Which hundredths digits leave it at 95.2 rather than rounding up past it?
A hundredths digit of 5 or more would round up past 95.2, so the most it can have is 4: 95.24.
Part B: Choose, or true or false
10. C. 42.04
For two decimal places, look at the thousandths. What is the thousandths digit of 42.0382?
The thousandths digit 8 ≥ 5, so add 1 to the hundredths: 42.04.
11. D. 36.38
For two decimal places, look at the thousandths. What is the thousandths digit of 36.3769?
The thousandths digit 6 ≥ 5, so add 1 to the hundredths: 36.38.
12. True
One decimal place: look at the hundredths. Round 98.054 yourself, then compare with 98.1.
Round on the hundredths: to one place, 98.054 is 98.1.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 35.8 cm
Work out the exact product 14.1 × 2.54 first, then round to one decimal place.
14.1 × 2.54 = 35.814 ≈ 35.8 cm.
14. 67.9 dollars
Work out the exact cost, 48.5 × 1.4, first; round on the hundredths only at the end.
48.5 × 1.4 = 67.9, which rounds to ≈ 67.9.
15. 49.94 kg
Weight = weight a metre × length: work out 7.94 × 6.29 exactly, and look at the thousandths only at the end.
7.94 × 6.29 = 49.9426 ≈ 49.94 kg: the exact product first, rounded only at the end.
16. 215.3 HK dollars
Work out 27.6 × 7.8 exactly first, then round on the hundredths.
27.6 × 7.8 = 215.28 ≈ 215.3.
17. 331 m
Work out 0.52 × 636 exactly first, then round on the tenths to a whole number.
0.52 × 636 = 330.72; round on the tenths to a whole number: ≈ 331 m.
18. 691.1 HK dollars
Work out 88.6 × 7.8 exactly first, then round on the hundredths.
88.6 × 7.8 = 691.08 ≈ 691.1.
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