Chapter - 8 - EXERCISE 8.3 - Decimals (NCERT Class 6th Maths Solution)

Q1. Which is greater? 

(a) 0.3 or 0.4                          (b) 0.07 or 0.02 

(c) 3 or 0.8                             (d) 0.5 or 0.05 

(e) 1.23 or 1.2                        (f) 0.099 or 0.19 

(g) 1.5 or 1.50                        (h) 1.431 or 1.490 

(i) 3.3 or 3.300                       (j) 5.64 or 5.603

Solution/Explanation:

(a) 0.3 or 0.4

The whole parts of these numbers are same. It can be seen that the tenth part of 0.4 is greater than that of 0.3.

Hence, 0.4 > 0.3

(b) 0.07 and 0.02

Here, both numbers have same parts up to the tenth place. However, the hundredth part of 0.07 is greater than that of 0.02.

Hence, 0.07 > 0.02

(c) 3 or 0.8

It can be seen that the whole part of 3 is greater than that of 0.8.

Hence, 3 > 0.8

(d) 0.5 or 0.05

The whole parts of these numbers are same. It can be seen that the tenth part of 0.5 is greater than that of 0.05.

Hence, 0.5 > 0.05

(e) 1.23 or 1.20

Here, both numbers have same parts up to the tenth place. However, the hundredth part of 1.23 is greater than that of 1.20.

Hence, 1.23 > 1.20

(f) 0.099 or 0.19

The whole parts of these numbers are same. It can be seen that the tenth part of 0.19 is greater than that of 0.099.

Hence, 0.099 < 0.19

(g) 1.5 or 1.50

Here, both numbers have the same parts up to the tenth place. Also, there is no digit at hundredth place of 1.5. This implies that this digit will be 0, which is same as the digit at the hundredth place of 1.50. Therefore, both these numbers are equal.

(h) 1.431 or 1.490

Here, both numbers have the same parts up to the tenth place. However, the hundredth part of 1.490 is greater than that of 1.431.

Hence, 1.431 < 1.490

(i) 3.3 or 3.300

Here, both numbers have the same parts up to the tenth place. Also, there is no digit at hundredth and thousandth place of 3.3. This implies that these digits are 0, which are the same as the digits at the hundredth and thousandth place of 3.300. Therefore, both these numbers are equal.

(j) 5.64 or 5.603

Here, both numbers have the same parts up to the tenth place. However, the hundredth part of 5.64 is greater than that of 5.603.

Hence, 5.640 > 5.603

Q2.  Make five more examples and find the greater number from them.

Solution/Explanation:

Five more examples are

(a) 32.55 or 32.5

Whole parts for both the numbers are same. The tenth part are also equal, but the hundredth part of 32.55 is greater than that of 32.5

Hence, 32.55 > 32.5

(b) 1 or 0.99

The whole part of 1 is greater than that of 0.99

∴ 1 > 0.99

(c) 1.09 or 1.093

Here both the numbers have same parts up to the hundredth. But the thousandth part of 1.093 is greater than that of 1.09

∴ 1.093 > 1.09

(d) 2 or 1.99

The whole part of 2 is greater than that of 1.99

∴ 2 > 1.99

(e) 2.08 or 2.085

Here both the numbers have same parts up to the hundredth. But the thousandth part of 2.085 is greater than that of 2.08

∴ 2.085 > 2.08