Question

Which set of rational numbers is arranged from least to greatest?

−0.5, negative 1 over 5, 1 over 9, 1
1, 1 over 9, −0.5, negative 1 over 5
1 over 9, −0.5, 1, negative 1 over 5
negative 1 over 5 , 1, 1 over 9, −0.5

Answer 1

−0.5, negative 1 over 5, 1 over 9, 1

Answer 2

The correct option is 1.

Explanation:

The set of all numbers which are defined in the form of p/q where, q≠0 is known as set of rational numbers.

The negative number with higher absolute value is smaller. The positive number with higher absolute value is larger.

The given numbers are

-0.5, -1/5, 1/9, 1

We need to arrange these rational numbers from least to greatest.

`-(1)/(5)=-0.2`

`(1)/(9)\approx 0.11`

We can say that

-0.5 < -0.2 < 0.11 < 1

-0.5 < -1/5 < 1/9 < 1

The required arrangement is -0.5, -1/5, 1/9, 1. Therefore the correct option is 1.