Question

Match each number on the left with the correct description of the number on the right. Answer options on the right may be used more than once. Please help.

Answer 1

150 and -2 are integers
6.6 and -1/2 are rational numbers
-√3 is an irrational number

Answer 2

Integer: -2 and 150

Rational number:
`-(1)/(2)` and
`6.\bar6`

Irrational number:
`-√(3)`

Explanation:

Consider the provided numbers.

Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2, …

Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0. The decimal expansion of rational numbers may terminate or become periodic.

Irrational number: A number is irrational if it cannot be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.

Now consider the number.

`-(1)/(2)` is a rational number because it is in the form of p/q.

`6.\bar6` is a rational number because the decimal expansion is periodic.

-2 is an integer.

`-√(3)` is an irrational number as the decimal expansion is neither terminating nor repeating.

150 is an integer.