Numbers and operations · Ages 12–13

Rounding up and rounding down worksheet

Part of: Approximation & estimation

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Numbers and operations · Ages 12–13

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.

1.2,124 rounded up to the nearest hundred is .
Answer:
2.88.294 rounded down to 1 decimal place is .
Answer:
3.87,149 rounded up to 2 significant figures is .
Answer:
4.70.819: rounded up to 1 decimal place it is , rounded down , rounded off .
Fill in each blank
Answer:
5.86,372 rounded up to 2 significant figures is .
Answer:
6.0.06375 rounded down to 2 significant figures is .
Answer:
7.0.08781 rounded down to 2 significant figures is .
Answer:

8.34,918 rounded down to the nearest hundred is 34,900.
True or false?
Answer:
9.2.305 became 2.4. How was it rounded?
- A. Rounded up to 1 decimal place
- B. Rounded up to a whole number
- C. Rounded off to 1 decimal place
- D. Rounded down to 1 decimal place
Choose the right answer
Answer:
10.1.41 became 1.5. How was it rounded?
- A. Rounded up to 1 decimal place
- B. Rounded up to a whole number
- C. Rounded down to 1 decimal place
- D. Rounded off to 1 decimal place
Choose the right answer
Answer:
11.What is 5.500 rounded up to 1 decimal place?
- A. 5
- B. 5.6
- C. 6
- D. 5.5
Choose the right answer
Answer:
12.3.904 rounded up to 1 decimal place gives the same answer as rounded off to 1 decimal place.
True or false?
Answer:

13.Ka-yan is 11 years and 6 months old. Ages are rounded down, so Ka-yan is 12.
True or false?
Working:
Answer:
14.143 people take a lift to the roof. It carries at most 10 at a time, and each trip there and back takes 4 minutes. At least how many minutes until everyone is up?
Working:
Answer:
15.A car park charges $18 an hour, and part of an hour counts as an hour. Parking for 5 hours 16 minutes, how much is to pay?
Working:
Answer:
16.609 egg tarts, 8 to a box: boxes can be filled, with left over; to pack them all takes at least boxes.
Fill in each blank
Working:
Answer:
17.814 people go on a trip and each coach seats 45. What is the fewest coaches to hire?
Working:
Answer:
18.932 eggs are packed 15 to a box. At most how many boxes can be filled?
Working:
Answer:

Show the answers and working

Rounding up and rounding down worksheet: Answers and working

1. 2,200
Rounding up: whatever follows the hundreds, however small, the hundreds go up by 1. So 2,200.
2. 88.2
Rounding down: everything after the first decimal place goes, however big. So 88.2.
3. 88,000
Count two significant figures; since what follows isn't all 0, go up one, and fill the rest with 0. So 88,000.
4. 70.9, 70.8, 70.8
70.819 lies between 70.8 and 70.9: rounding up takes 70.9, rounding down 70.8; the second decimal place is 1, so rounding off gives 70.8.
5. 87,000
Count two significant figures; since what follows isn't all 0, go up one, and fill the rest with 0. So 87,000.
6. 0.063
Count two figures from the first significant one and drop the rest: 0.063. Only rounding off looks at the next digit.
7. 0.087
Count two figures from the first significant one and drop the rest: 0.087. Only rounding off looks at the next digit.

8. True
Rounding down: everything after the hundreds goes and the hundreds stay. So 34,900.
9. A. Rounded up to 1 decimal place
Something follows the first decimal place of 2.305, so rounding up goes up one: 2.4. Rounding off and rounding down both give 2.3.
10. A. Rounded up to 1 decimal place
Something follows the first decimal place of 1.41, so rounding up goes up one: 1.5. Rounding off and rounding down both give 1.4.
11. D. 5.5
An exact number stays the same rounded up, down or off: 5.5.
12. False
Rounding up gives 4; the second decimal place is 0, so rounding off gives 3.9.

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

13. False
Ages round down: until the next birthday it is still 11, however many months have passed.
14. 60 minutes
143 ÷ 10 rounded up is 15 trips; 15 × 4 = 60 minutes.
15. 108 dollars
The time is rounded up to whole hours: 6 hours, and 6 × 18 = 108 dollars.
16. 76, 1, 77
609 ÷ 8 = 76 remainder 1. Full boxes round down: 76; packing them all rounds up: 77.
17. 19 coaches
814 ÷ 45 ≈ 18.09, which is rounded up: the people left over need a coach too, so 19.
18. 62 boxes
932 ÷ 15 is rounded down: a box that isn't full doesn't count. So 62.

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