Question

Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.

1632
0.25
0.0300300030000…
0

Answer 1

0.0300300030000...

Explanation:

An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.

1632 can be written as 3264/2

0.25 can be written as 1/4

0 could be written as 0/0

but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.