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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
To do:
We have to find the greater among the two in each case.
Solution:
(a) $0.4=\frac{4}{10}$ and $0.3=\frac{3}{10}$
4 is greater than 3.
This implies,
$\frac{4}{10}$ is greater than $\frac{3}{10}$.
Therefore, 0.4 is greater than 0.3.
(b) $0.07=\frac{7}{100}$ and $0.02=\frac{2}{100}$
7 is greater than 2.
This implies,
$\frac{7}{100}$ is greater than $\frac{2}{100}$.
Therefore, 0.07 is greater than 0.02.
(c) $3=\frac{30}{10}$ and $0.8=\frac{8}{10}$
30 is greater than 8.
This implies,
$\frac{30}{10}$ is greater than $\frac{8}{10}$.
Therefore, 3 is greater than 0.8.
(d) $0.5=\frac{50}{100}$ and $0.05=\frac{5}{100}$
50 is greater than 5.
This implies,
$\frac{50}{100}$ is greater than $\frac{5}{100}$.
Therefore, 0.5 is greater than 0.05.
(e) $1.23=\frac{123}{100}$ and $1.2=\frac{120}{100}$
123 is greater than 120.
This implies,
$\frac{123}{100}$ is greater than $\frac{120}{100}$.
Therefore, 1.23 is greater than 1.2.
(f) 0.099 or 0.19
$0.099=\frac{99}{1000}$ and $0.19=\frac{190}{1000}$
190 is greater than 99.
This implies,
$\frac{190}{1000}$ is greater than $\frac{99}{1000}$.
Therefore, 0.19 is greater than 0.099
(g) $1.5=\frac{150}{100}$ and $1.50=\frac{150}{100}$
Therefore, 1.5 is equal to 1.50.
(h) $1.431=\frac{1431}{1000}$ and $1.490=\frac{1490}{1000}$
1490 is greater than 1431.
This implies,
$\frac{1490}{1000}$ is greater than $\frac{1431}{1000}$.
Therefore, 1.490 is greater than 1.431.
(i) $3.3=\frac{3300}{1000}$ and $3.300=\frac{3300}{1000}$
Therefore, 3.3 is equal to 3.300.
(j) $5.64=\frac{5640}{1000}$ and $5.603=\frac{5603}{1000}$
5640 is greater than 5603.
This implies,
$\frac{5640}{1000}$ is greater than $\frac{5603}{1000}$.
Therefore, 5.64 is greater than 5.603.