Exercise 8.3
Page No 175:
Question 1:
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
Answer:
(a) 0.3 or 0.4The 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
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