Respuesta :
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,
[tex]\displaystyle\frac{x}{y}, y \neq 0\\\\2.11 = \frac{211}{100}[/tex]
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.
Hannah and Gus are correct.
This is about types of numbers.
Now, a rational number is one that can be represented as the division of 2 integers provided the denominator is not zero.
Now in addition to that definition, rational number could also be decimals when we divide 2 integers but this decimal could be a repeating decimals but they must be terminating decimals.
Now, we have 2.11
This is a terminating decimal that can be expressed as a fraction which is 211/100.
It meets the definition of a rational number on both counts.
Thus, Hannah and Gus are correct
Read more at; brainly.com/question/18736992..
