1. Round 521 to the nearest tens
2. Round 521 to the nearest hundreds
3. Round 47618 to the nearest tens
4. Round 47618 to the nearest hundreds
5. Round 47618 to the nearest thousands
6. Round 47618 to the nearest ten thousands
7. Round 36.729 to two decimal places
8. Round 36.729 to one decimal place
9. Round 36.745 to two decimal places
10. Round 36.745 to one decimal place
11. Round 2.14829 to one decimal place
12. Round 2.14829 to two decimal places
13. Round 2.14829 to three decimal places
14. Round 2.14829 to four decimal places
Round off the following numbers to the nearest integer:
15. 288.29
16. 3998.37
17. 4856.795
18. 4999.96
19. 1.99
20. 1.0012
21. Daniel has been asked to round 1.725 to one decimal place. His answer is 172.5 Explain Daniel’s mistake.
22. Nicole has rounded a number to one decimal place. Her answer is 9.2 Write down 10 different possible numbers that she could have rounded.
23. A chocolate bar contains 0.4715g of salt. Round this to two decimal places.
24. Darren’s batting average is calculated as 53.6853. Round this to one decimal place.
25. Romandy Gold makes an annual profit of $136.748 million. Round this figure to one decimal place.
26. Jordan shoots 32:587 points per basketball game. Round this to two decimal places.
27. Tye calculates the interest due on her savings account to be $78.1983. Round this to the nearest cent.
28. Round each of the numbers below to the nearest tenth (1 decimal place)
(a) 5.191
(b) 93.2941
(c) 8.246
(d) 38.3152
(e) 10.087
(f) 7.26229
(g) 39.555
(h) 0.54868696
1. Answer :
Consider multiples of 10 before and after 521. (i.e. 520 and 530)
We find that 521 is nearer to 520 than to 530.
It has been illustrated in the picture given below.
Therefore, the nearest tens of 521 is 520.
2. Answer :
Consider multiples of 100 before and after 521. (i.e. 500 and 600)
We find that 521 is nearer to 500 than to 600. So, the nearest hundreds of 521 is 500.
Answers for questions 3 to 20 :
3. The nearest tens = 47,620
4. The nearest hundreds = 47,600
5. The nearest thousands = 48,000
6. The nearest ten thousands = 50,000
7. It is 36.73 round to two decimal places. (Since the last digit 9 > 5, we add 1 to 2 and make it 3).
Therefore, 36.729 ≃ 36.73 (Round to two decimal place)
8. Look at the second decimal in 36.729, Here it is 2 which is less than 5, so we leave 7 as it is.
Therefore, 36.729 ≃ 36.7 (Round to one decimal place)
9. It’s approximation is 36.75, round to two decimal places. Since the last digit is 5, we add 1 to 4 and make it 5.
10. It’s approximation is 36.7, round to one decimal place. Since the second decimal is 4, which is less than 5, we leave 7 as it is.
36.745 ≃ 36.7
11. Rounded to one decimal place is 2.1
12. Rounded to two decimal places is 2.15
13. Rounded to three decimal places is 2.148
14. Rounded to four decimal places is 2.1483
15. 288
16. 3998
17. 4857
18. 5000
19. 2
20. 1
21. Given number is 1.725
Rounding for one decimal place, we get
1.7
But the given answer 172.5, seems the given number is multiplied by 100. Then it is incorrect. The correct angswer is 1.7.
22. Given number is 9.2
Nicole has to round to one decimal place, after the first digit we may have the numerals 0 to 4 to get first 5 numbers.
To get the next five numbers, we may have 5 to 9 in the second place.
23. Quantity of salt in the chocolate bar = 0.4715 g
Looking at the third digit, it is 1. Then we have to keep the digit which is at hundredth place and ignore the digits in the next places.
Rounding off for two decimal places, we get 0.47 g
24. Given that average is 53.6853
Looking at the second digit, we have 8 which is greater than 5. Then we have to add 1 with the value in the tenth place and ignore the next digits.
Rounding to one decimal places,
53.7
25. Given that an annual profit is $136.748 million
Looking at the second digit, we have 4 which is lesser than 5. Then we have to keep the number at the tenth place as it is and ignore the next digits.
Rounding for one decimal place,
136.7
26. Number of shoots = 32.587
Looking at the third digit, we have 7 which is greater than 5. Then we have to add 1 with the hundredth place and ignore the next digit.
Rounding to two decimal places, we get
32.59
27. Given intrest = $78.1983
Looking at the second digit, we have 9 which is greater than 5. Then we have to add 1 with the tenth place and ignore the next digit.
Rounding for nearest cents, $78.2
28.
(a) 5.191 ≃ 5.2
(b) 93.2941 ≃ 93.2
(c) 8.246 ≃ 8.2
(d) 38.3152 ≃ 38.3
(e) 10.087 ≃ 10.1
(f) 7.26229 ≃ 7.3
(g) 39.555 ≃ 39.6
(h) 0.54868696 ≃ 0.5
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