Question

Classify each number as rational or irrational.

1. 0.329

2. 127.5

3. -89

4. √--- 101

Answer 1

0.329 : Rational numbers
127.5 : Rational numbers
-89 : Rational numbers

`√(101)` : Irrational numbers

Hope this helps. - M

Answer 2

A rational number is a number with a finite number of numbers after the decimal point, or the numbers after the decimal point repeat a given patern.

An irrational number is a number with infinite numbers afther the decimal point, and those numbers have no pattern, are all "random", some examples are the roots of prime numbers, like square root of 2.

1) 0.329

It has a finite quantity of numbers after the decimal point: rational

2) 127.5

It has a finite quantity of numbers after the decimal point: rational

3) -89

It has a finite quantity of numbers after the decimal point: rational

4)
`\sqrt{101`

101 is a prime number, so the square root of 101 must be a irrational number.