1. Fill in the blanks
(i) The nearest 100 of 843 is ___________.
Ans: 800
(ii) The nearest 1000 of 756 is ___________.
Ans: 1000
(iii) The nearest 10000 of 85654 is ___________.
Ans: 90,000
2. Say True or False.
(i) 8567 is rounded off as 8600 to the nearest 10.
Ans: False
(ii) 139 is rounded off as 100 to the nearest 100.
Ans: True
(iii) 11,70,51,972 is rounded off as 1,70,00,000 to the nearest lakh.
Ans: False
3. Round off the following to the given nearest place.
(i) 4,065; hundred
4065
There is a 0 in the hundredths place.
To the right of 0 is 6.
= 0 + 1 = 1
= 4100
| (If this digit is 5 or greater, add 1 to it. If it is less than 5, leave it unchanged) |
Ans: 4100
(ii) 44,555; thousand
44,555
There is a 4 in the thousandth place.
To the right of 4 is 5.
= 0 + 1 = 1
= 45000
| (If this digit is 5 or greater, add 1 to it. If it is less than 5, leave it unchanged) |
Ans: 45000
(iii) 86,943; ten thousand
86,943
There is an 8 in the tens place.
To the right of 8 is 9.
= 0 + 1 = 1
= 90000
| (If this digit is 5 or greater, add 1 to it. If it is less than 5, leave it unchanged) |
Ans: 90000
(iv) 50,81,739; lakh
50,81,739
There is a 0 in the lakhs place.
There is a 8 to the right of 0.
= 0 + 1 = 1
= 510000
| (If this digit is 5 or greater, add 1 to it. If it is less than 5, leave it unchanged) |
Ans: 510000
(v) 33,75,98,482; ten crore
33,75,98,482
There is a 3 in the tens place.
There is a 3 to the right of 3.
= No need to change 0
= 3000000
| (If this digit is 5 or greater, add 1 to it. If it is less than 5, leave it unchanged) |
Ans: 3000000
4. Estimate the sum of 157826 and 32469 rounded off to the nearest ten thousand.
= 157826 + 32469 = 190295
Estimated value of 157826 = 160000
Estimated value of 32469 = 30000
Addition of estimated values = 160000 + 30000 = 190000
Ans: 190000
5. Estimate by rounding off each number to the nearest hundred.
(i) 8074 + 4178
(ii) 1768977 + 130589
6. The population of a city was 43,43,645 in the year 2001 and 46,81,087 in the year 2011. Estimate the increase in population by rounding off to the nearest thousand.
The population of city in the year 2011– 46,81,087
The population of a city in the year 2001– 43,43,645
Objective Type Questions
7. The number which on rounding off to the nearest thousand gives 11000 is
- 10345
- 10855
- 11799
- 10056
Ans: 10855
8. The estimation to the nearest hundred of 76812 is
- 77000
- 76000
- 76800
- 76900
Ans: 76800
9. The number 9785764 is rounded off to the nearest lakh as
- 9800000
- 9786000
- 9795600
- 9795000
Ans: 9800000
10. The estimated difference of 167826 and 2765 rounded off to the nearest thousand is
- 180000
- 165000
- 140000
- 155000
Ans: 165000
| 167826 nearest Thousand | = 1,68,000 (–) |
| 2,765 nearest thousand | = 3,000 |
| 1,65,000 |