Question

Which is greater?
1.09 or 1.093
[2 marks]
[NCERT- Example 11(b)]
[Comparison of Decimals]

Answer 1

Solution:
1.09 = 1 + $\frac{0}{10}$ + $\frac{9}{100}$
[0.5 mark]

​​​​​​​1.093 = 1 + $\frac{0}{10}$ + $\frac{9}{100}$ + $\frac{3}{1000}$
[0.5 mark]

In this case, the two numbers have same parts upto hundredth. But the thousandths part of 1.093 is greater than that of 1.09. Therefore, 1.093 > 1.09.
[1 mark]