Question

Arrange in ascending order:

0.011, 1.001, 0.101, 0.110

Answer 1

Given numbers are 0.011, 1.001, 0.101 and 0.110.

∴ `0.011 = 0 + 0/10 + 1/100 + 1/1000`

`1.001 = 1 + 0/10 + 0/100 + 1/1000`

`0.101 = 0 + 1/10 + 0/100 + 1/1000`

`0.110 = 0 + 1/10 + 1/100 + 0/1000`

Here, the whole number part of 1.001 is greater than 0.011, 0.101 and 0.110.

Now, tenths part of `0.011 = 0/10`

Tenths part of `0.101 = 1/10`

And tenths part of `0.110 = 1/10`

∴ 0.011 < 0.101 and 0.011 < 0.110

Again, hundredths part of `0.101 = 0/100`

And hundredths part of `0.110 = 1/100`

∴ 0.101 < 0.110

Hence, the ascending order of given numbers are 0.011 < 0.101 < 0.110 < 1.001