Q. 14.1( 28 Votes )

Which is greater?

(i) 0.5 or 0.05 (ii) 0.7 or 0.5

(iii) 7 or 0.7 (iv) 1.37 or 1.49

(v) 2.03 or 2.30 (vi) 0.8 or 0.88

Answer :

(i) We have,


0.5 or 0.05


Firstly, we have to convert these decimals into equivalent fractions:


So,


0.5 =


=


=


And,


0.05 =


Now, from the above fractions it can be observed that both have same denominator


Since,


50 > 5


Therefore,


0.5 > 0.05


(ii) We have,


0.7 or 0.5


Firstly, we have to convert these decimals into equivalent fractions:


So,


0.7 =


And,


0.5 =


Now, from the above fractions it can be observed that both have same denominator


Since,


7 > 5


Therefore,


0.7 > 0.5


(iii) We have,


7 or 0.7


Firstly, we have to convert these decimals into equivalent fractions:


So,


7 =


=


=


And,


0.7 =


Now, from the above fractions it can be observed that both have same denominator


Since,


70 > 7


Therefore,


7 > 0.7


(iv) We have,


1.37 or 1.49


Firstly, we have to convert these decimals into equivalent fractions:


So,


1.37 =


And,


1.49 =


Now, from the above fractions it can be observed that both have same denominator


Since,


137 < 149


Therefore,


1.37 < 1.49


(v) We have,


2.03 or 2.30


Firstly, we have to convert these decimals into equivalent fractions:


So,


2.03 =


And,


2.30 =


Now, from the above fractions it can be observed that both have same denominator


Since,


203 < 230


Therefore,


2.03 < 2.30


(vi) We have,


0.8 or 0.88


Firstly, we have to convert these decimals into equivalent fractions:


So,


0.8 =


=


=


And,


0.88 =


Now, from the above fractions it can be observed that both have same denominator


Since,


80 < 88


Therefore,


0.8 < 0.88


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