Question

Which decimal is less than 0.8 and greater than 0.02

A.0.81

B.0.46

C.0.86

D.0.006

Answer 1

The decimal is 0.46

Explanation:

Given

Less than 0.8

Greater than 0.02

Required

Determine the decimal

Let the decimal be x

Such that:

`x < 0.8` and
`x > 0.02`

Rewrite as:

`x > 0.02` and
`x < 0.8`

Rewrite as:

`0.02 < x` and
`x < 0.8`

This can be merged to give:

`0.02 < x<0.8`

From the list of given options, only 0.46 fall in this range because:

`0.02 < 0.46<0.8`

So:

`x = 0.46`