Is 13/3 A Rational Number

Learn the departure betwixt rational and irrational numbers, and spotter a video about ratios and rates

Rational Numbers

A rational number is a number that tin can be written as a ratio. That means it tin be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the lesser) are whole numbers.

The number viii is a rational number because it can exist written every bit the fraction 8/ane.
Likewise, 3/4 is a rational number considering it can be written as a fraction.
Even a big, clunky fraction like seven,324,908/56,003,492 is rational, simply because it can be written as a fraction.

Every whole number is a rational number, because any whole number can exist written as a fraction. For example, 4 tin can be written as 4/1, 65 can be written as 65/1, and iii,867 can exist written equally 3,867/1.

Ratio and Rates: A Video

Watch this video to better sympathize the relationship between 2 numbers—a ratio—and a particular kind of ratio involving time, which is called a rate.

Irrational Numbers

All numbers that are not rational are considered irrational. An irrational number can be written equally a decimal, but not every bit a fraction.

An irrational number has endless not-repeating digits to the correct of the decimal signal. Here are some irrational numbers:

= iii.141592…

$square root of 2$ = 1.414213…

Although irrational numbers are non often used in dily life, they practise be on the number line. In fact, between 0 and one on the number line, there are an infinite number of irrational numbers!