Decimals (Exercise 7.5) RD Sharma Solutions | Mathematics for Class 6 PDF Download

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Exercise 7.5                                                                              page: 7.20 
1. Fill in the blanks by using > or < to complete the following: 
(i) 25.35 …… 8.47 
(ii) 20.695 …… 20.93 
(iii) 0.39 ……. 0.72 
(iv) 0.109 ……. 0.83 
(v) 0.236 ……. 0.201 
(vi) 0.93 ……. 0.99 
Solution: 
 
(i) 25.35 …… 8.47 
We know that the whole numbers 25 > 8  
Hence, 25.35 > 8.47. 
 
(ii) 20.695 …… 20.93 
We know that both the whole numbers are equal 
So by checking the tenth parts we know that 9 > 6 
Hence, 20.695 < 20.93. 
 
(iii) 0.39 ……. 0.72 
We know that both the whole numbers are 0 
So by checking the tenth parts we know that 7 > 3 
Hence, 0.39 < 0.72. 
 
(iv) 0.109 ……. 0.83 
We know that both the whole numbers are 0 
So by checking the tenth parts we know that 1 < 8 
Hence, 0.109 < 0.83. 
 
(v) 0.236 ……. 0.201 
We know that both the whole numbers are 0 
So by checking the hundredth parts we know that 3 > 0 
Hence, 0.236 > 0.201. 
 
(vi) 0.93 ……. 0.99 
We know that both the whole numbers are 0 
So by checking the hundredth parts we know that 3 < 9 
Hence, 0.93 < 0.99. 
 
2. Which is greater? Give reason for your answer? 
(i) 1.008 or 1.800 
(ii) 3.3 or 3.300 
(iii) 5.64 or 5.603 
(iv) 1.5 or 1.50 
(v) 1.431 or 1.439 
(vi) 0.5 or 0.05 
Solution: 
 
(i) 1.008 or 1.800 
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Exercise 7.5                                                                              page: 7.20 
1. Fill in the blanks by using > or < to complete the following: 
(i) 25.35 …… 8.47 
(ii) 20.695 …… 20.93 
(iii) 0.39 ……. 0.72 
(iv) 0.109 ……. 0.83 
(v) 0.236 ……. 0.201 
(vi) 0.93 ……. 0.99 
Solution: 
 
(i) 25.35 …… 8.47 
We know that the whole numbers 25 > 8  
Hence, 25.35 > 8.47. 
 
(ii) 20.695 …… 20.93 
We know that both the whole numbers are equal 
So by checking the tenth parts we know that 9 > 6 
Hence, 20.695 < 20.93. 
 
(iii) 0.39 ……. 0.72 
We know that both the whole numbers are 0 
So by checking the tenth parts we know that 7 > 3 
Hence, 0.39 < 0.72. 
 
(iv) 0.109 ……. 0.83 
We know that both the whole numbers are 0 
So by checking the tenth parts we know that 1 < 8 
Hence, 0.109 < 0.83. 
 
(v) 0.236 ……. 0.201 
We know that both the whole numbers are 0 
So by checking the hundredth parts we know that 3 > 0 
Hence, 0.236 > 0.201. 
 
(vi) 0.93 ……. 0.99 
We know that both the whole numbers are 0 
So by checking the hundredth parts we know that 3 < 9 
Hence, 0.93 < 0.99. 
 
2. Which is greater? Give reason for your answer? 
(i) 1.008 or 1.800 
(ii) 3.3 or 3.300 
(iii) 5.64 or 5.603 
(iv) 1.5 or 1.50 
(v) 1.431 or 1.439 
(vi) 0.5 or 0.05 
Solution: 
 
(i) 1.008 or 1.800 
 
 
 
 
 
 
We know that the whole numbers are equal 
So by comparing tenths place we know that 0 < 8 
Hence, 1.008 < 1.800. 
 
(ii) 3.3 or 3.300 
We know that the whole numbers and tenths place are equal 
Hence, 3.3 = 3.300. 
 
(iii) 5.64 or 5.603 
We know that the whole numbers are equal 
So by comparing the hundredths place we know that 4 > 0 
Hence, 5.64 > 5.603. 
 
(iv) 1.5 or 1.50 
We know that the whole numbers and tenths place are equal 
Hence, 1.5 = 1.50. 
 
(v) 1.431 or 1.439 
We know that the whole numbers are equal 
So by comparing thousandths place we know that 1 < 9 
Hence, 1.431 < 1.439. 
 
(vi) 0.5 or 0.05 
We know that the whole numbers are equal 
So by comparing tenths place we know that 5 > 0  
Hence, 0.5 > 0.05.