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
(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