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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 1 Numbers Ex 1.4

Question 1.

Fill in the blanks.

(i) The nearest 100 of 843 is _____

(ii) The nearest 1000 of 756 is ______

(iii) The nearest 10,000 of 85654 is ______

Solution:

(i) 800.

The digit in tens place is 4 < 5

(ii) 1000.

The digit in hundred places is 7 ≥ 5

(iii) 90,000.

The digit in a thousand places is 5 ≥ 5

Question 2.

Say True or False

(i) 8567 is rounded off as 8600 to the nearest 10.

(ii) 139 is rounded off as 100 to the nearest 100.

(iii) 1,70,51,972 is rounded off as 1,70,00,000 to the nearest lakh.

Solution:

(i) False

Hint: In one’s place the digit is 7 ≥ 5. So 8580

(ii) True

Hint: In tens place, we have 3 < 5. So 100

(iii) False

Hint: In ten thousand places the digit is 5 ≥ 5. So 1,71,000,000

Question 3.

Round off the following to the given nearest place.

(i) 4,065; hundred

(ii) 44,555; thousand

(iii) 86,943; ten thousand

(iv) 50,81,739; lakh

(v) 33,75,98,482; ten crore

Solution:

(i) 4100

(ii) 45,000

(iii) 90,000

(iv) 51,00,000

(v) 30,00,00,000

Question 4.

Estimate the sum of 157826 and 32469 rounded off to the nearest ten thousand.

Solution:

= 157826 + 32469

= 190295

When rounded off to nearest ten thousand = 1,90,000

Decimal numbers can be rounded to the nearest hundredth by observing the digit in the thousandths place.

Question 5.

Estimate by rounding off each number to the nearest hundred.

(i) 8074 + 4178

(ii) 1768977 + 130589

Solution:

(i) 8074 + 4178 = 12,252

When rounded off to nearest hundred 12,300

(ii) 1768977 + 130589 = 18,99,566

When rounded off to nearest hundred = 18,99,600

Question 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 thousands.

Solution:

Population in 2001 = 43,43,645

Population in 2011 = 46,81,087

Increase in population = 46,81,087 – 43,43,645 = 3,37,442

When rounded off to the nearest thousand = 3,37,000

Objective Type Questions

Question 7.

The number which on rounding off to the nearest thousand gives 11000 is

(a) 10345

(b) 10855

(c) 11799

(d) 10056

Solution:

(b) 10855

Question 8.

The estimation to the nearest hundredth of 76812 is

(a) 77000

(b) 76000

(c) 76800

(d) 76900

Solution:

(c) 76800

In tens place the digit is 1 < 5, So 76800

Question 9.

The number 9785764 is rounded off to the nearest lakh as

(a) 9800000

(b) 9786000

(c) 9795600

(d) 9795000

Solution:

(a) 9800000

Question 10.

The estimated difference of 167826 and 2765 rounded off to the nearest thousand is

(a) 180000

(b) 165000

(c) 140000

(d) 155000

Solution:

(b) 165000