Question

Question #f0a72

Answer 1

`-3 2/5` is a RATIONAL number. It can be written as a RATIO.

Explanation:

`-3 2/5`

The value given is a mixed number, meaning it is given as a fraction.

Its position can be given accurately on a number line - it is exactly two-fifths of the distance between `-3 and -4`

It can also be expressed as an improper fraction as `-17/5`.

This means there is a ratio of `17:5` between the numerator and denominator. This means it is a RATIONAL number.

A RATIONAL number is one which can be written as a fraction -

ie in the form `a/b, (b!=0)`

Rational numbers can be placed exactly on the number line.

IRRATIONAL numbers cannot be written as fractions, only as radicals and their exact positions cannot be shown on a number line.

`sqrt13` is irrational but `13/3` is rational.