Numbers and operations · Ages 12–13

Rounding off to a place value worksheet

Part of: Approximation & estimation

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Numbers and operations · Ages 12–13

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

1.6,531 correct to the nearest ten is .
Answer:
2.4,560 to the nearest hundred: the hundreds digit is , the digit after it is , so the answer is .
Fill in each blank
Answer:
3.37.46 correct to the nearest whole number is .
Answer:
4.521,121 correct to the nearest thousand is .
Answer:
5.19,976 correct to the nearest hundred is .
Answer:
6.362,625 correct to the nearest ten thousand is .
Answer:
7.40,996 correct to the nearest hundred is .
Answer:

8.5,796 correct to the nearest ten is 5,790.
True or false?
Answer:
9.The arrow points to a number. What is it to the nearest whole number?
- A. 33
- B. 33.5
- C. 34
- D. 33.6
Choose the right answer
Answer:
10.Which number is 4,800 to the nearest hundred?
- A. 4,717
- B. 4,850
- C. 4,886
- D. 4,792
Choose the right answer
Answer:
11.A whole number is 550 to the nearest ten. It could be 546.
True or false?
Answer:
12.A whole number is 880 to the nearest ten. It could be 885.
True or false?
Answer:

13.A games console costs $158.06. To the nearest dollar, about how much is that?
Working:
Answer:
14.Chi-keung says 62,779 to the nearest hundred is 62,800. Chi-keung is right.
True or false?
Working:
Answer:
15.A batch of goods is 3,100 items to the nearest hundred. What is the fewest items it can have?
Working:
Answer:
16.A mountain is 9,319 m high. To the nearest 10 m it is m, to the nearest 100 m m, to the nearest 1,000 m m.
Fill in each blank
Working:
Answer:
17.Three stores hold 216, 328 and 527 crates. Rounding each to the nearest ten and then adding, or adding and then rounding to the nearest ten: how far apart are the two answers?
Working:
Answer:
18.A newspaper says about 51,000 people joined a charity walk, the number given to the nearest thousand. What could the real number be?
- A. 50,562
- B. 51,500
- C. 50,367
- D. 51,577
Choose the right answer
Working:
Answer:

Show the answers and working

Rounding off to a place value worksheet: Answers and working

1. 6,530
Look at the ones digit after the tens, 1: 0 to 4 drops, 5 to 9 rounds up. So 6,530.
2. 5, 6, 4,600
The hundreds digit is 5; look at the tens after it, 6: 5 or more rounds up, otherwise it drops, and the places after become 0. So 4,600.
3. 37
Look at the first decimal place, 4: 5 or more rounds up, otherwise it drops. So 37.
4. 521,000
521,121 lies between 521,000 and 522,000, with 521,500 halfway: it is nearer 521,000. Or look at the hundreds digit.
5. 20,000
The hundreds digit is 9 and 7 follows, so round up: 9 and 1 make 10, which carries into the thousands. So 20,000.
6. 360,000
After the ten thousands comes the thousands digit, 2: 5 or more rounds up, otherwise it drops, and the rest become 0. So 360,000.
7. 41,000
The hundreds digit is 9 and 9 follows, so round up: 9 and 1 make 10, which carries into the thousands. So 41,000.

8. False
The ones digit is 6: 5 or more rounds up, 4 or less drops. So 5,800.
9. C. 34
The arrow is at 33.6, between 33 and 34. Look at the first decimal place: 5 or more rounds up, otherwise it drops. So 34.
10. D. 4,792
Numbers that are 4,800 to the nearest hundred start at 4,750 and stay below 4,850: only 4,792.
11. True
The whole numbers that are 550 to the nearest ten run from 545 to 554; 555 is halfway and rounds up to 560.
12. False
The whole numbers that are 880 to the nearest ten run from 875 to 884; 885 is halfway and rounds up to 890.

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

13. 158 dollars
Look at the first decimal place, 0: 5 or more rounds up, otherwise it drops. So 158 dollars.
14. True
The tens digit after the hundreds is 7: 5 or more rounds up, 4 or less drops. So 62,800.
15. 3,050 items
3,050 is exactly halfway down to the hundred below, and halfway goes up, to 3,100; one fewer would round to 3,100 − 100.
16. 9,320, 9,300, 9,000
Start from 9,319 every time and look at the digit after the place kept: 9,320, 9,300, 9,000.
17. 10 crates
220 + 330 + 530 = 1,080; 1,071 to the nearest ten is 1,070. They differ by 10: the rounding errors add up.
18. A. 50,562
A number that is 51,000 to the nearest thousand is below 51,500 and at least 51,000 − 500: only 50,562.

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