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:
We will be using the concepts of inequalities to solve this.
(a) 0.3 or 0.4
We know that, 0.3 = 3/10, 0.4 = 4/10 and 3/10 < 4/10.
Thus, 0.4 is greater than 0.3
(b) 0.07 or 0.02
As we know, 0.07 = 7/100, 0.02 = 2/100 and 7/100 > 2/100
Thus, 0.07 is greater than 0.02.
(c) 3 or 0.8
3 is greater than 1 and 0.8 is lesser than 1.
Hence, 3 is greater than 0.8.
(d) 0.5 or 0.05
0.5 can also be written as 0.50.
Hence, 0.50 = 50/100, 0.05 = 5/100.and 50/100 > 5/100,
Hence, 0.5 > 0.05
(e) 1.23 or 1.2
As 1.23 = 123/100, 1.2 = 12/10 = 120/100 and 123/100 > 120/100
Hence, 1.23 > 1.2
(f) 0.099 or 0.19
As 0.099 = 99/1000, 0.19 = 190/1000 and 190/1000>99/1000
Thus, 0.19 > 0.099.
(g) 1.5 or 1.50
As 1.5 = 15/10 = 150/100, 1.50 = 150/100.
The values obtained are equal, so 1.5 = 1.50.
(h) 1.431 or 1.490
We know that, 1.431 = 1431/1000, 1.490 = 1490/1000 and 1431/1000 < 1490/1000
Thus, 1.490 > 1.431.
(i) 3.3 or 3.300
3.3 can be expressed as 3.3 = 3.300 = 3300/1000, 3.300 = 3300/1000
Since their values are equal, 3.3 = 3.300.
(j) 5.64 or 5.603
5.64 = 5.640 = 5640/1000, 5.603 = 5603/1000 and 5640/1000 > 5603/1000
Hence, 5.64 is greater than 5.603.
Class 6 Maths NCERT Solutions Chapter 8 Exercise 8.3 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
Summary:
(a) 0.4 is greater than 0.3 (b) 0.07 is greater than 0.02.(c) 3 is greater than 0.8.(d) 0.5 is greater than 0.05.(e) 1.23 is greater than 1.2 (f) 0.19 is greater than 0.099. (g) 1.5 and 1.50 are equal. (h) 1.490 is greater than 1.431. (i) 3.3 or 3.300 are equal. (j) 5.64 is greater than 5.603.
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