Question

Is the number rational or irrational?

Type out your responses clearly and explain. :)

Answer 1

Rational numbers are those that can be put into fraction form. Like .3. It can be put into 3/10.
Irrational numbers are those that cannot be put into fraction form. Like pi.

3/7 is rational, A, because it can be written in fraction form, 3/7.

.78 repeating is rational, A, because it can be written in 78/99. Repeating decimals can be written in fraction form.

Square root of 7/9 is irrational because it cannot be written in a simplified form. You can distribute the square root, but the square root of 7 will always be irrational and so the whole number is irrational.


`5 \pi` is irrational because
`\pi` is irrational and anything multiplied by an irrational is irrational.

1) A
2) A
3) B
4) B

Hope this helps :)