Question

Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.

Answer 1

Answer:

well does it have the repeating line on top? if it does then it's irrational if it doesn't it's rational

Answer 2

Answer:

Both Hannah and Gus are correct.

Step-by-step explanation:

We are given the following information in the question:

Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.

Hannah is correct in the claim as 2.11 can be written in the form of a fraction, where,

$\displaystyle\frac{x}{y}, y \neq 0\\\\2.11 = \frac{211}{100}$

Hence, 2.11 is rational number.

2.11 is also a repeating decimal as it can be written as 2.110000...

• A repeating or recurring decimal is decimal a number whose digits after point  are periodic and repeats.
• It can be shown that a number is rational if and only if its decimal expansion is repeating or terminating.

Hence, both Hannah and Gus are correct.