Question

Which of the following numbers are irrational numbers?

21.10675...,89, 121,0.011, 526, –9.72827...

Answer 1

Irrational numbers cannot be expressed as a fraction or the ratio of two integers. The numbers 21.10675..., 0.011, and -9.72827... are irrational numbers.

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction or the ratio of two integers. It is a number that cannot be written as a terminating or repeating decimal. In the given options, the numbers 21.10675..., 0.011, and -9.72827... are irrational numbers.

Example: The number 21.10675... is irrational because it cannot be expressed as a fraction. It goes on forever without repeating and doesn't terminate.

Answer 2

• 21.10675...
• –9.72827...

Step-by-step explanation:

A number with a non-terminating, non-repeating decimal fraction is irrational. The "..." at the end of the decimal fraction means the number continues indefinitely.

If there are repeated digits ahead of that, then the ... may indicate they continue to repeat, as in 0.727272... . The first and last of the choices given here do not seem to be repeating decimals, so should be considered irrational.