Question

What type of number is -12.123 repeating?

Choose all answers that apply:
(Choice A) A Whole number
(Choice B) B Integer
(Choice C) C Rational
(Choice D) D Irrational

Please Help me! :)

Answer 1

Answer:

C

Step-by-step explanation:

A: a whole number is a positive number (not including 0) that does not have anything after the decimal.

B: an integer is 0, all the + and all the minus numbers that have nothing after the decimal.

D: an irrational number has an unending decimal like pi.

C: has a terminating decimal and is minus. It is C, rational.

Answer 2

Answer:

C. Rational

Step-by-step explanation:

While this number technically has no end, it repeats. This puts it in a special case.

First, lets look at the decimal portion and ignore the integer with it.

When looking at $0.123123123123$ ..., we can convert this into the fraction $\frac{123}{999}$

Now, we can multiply -12 by the denominator and add them together to get

$-12*\frac{999}{999} =-\frac{11988}{999} \\-\frac{11988}{999}-\frac{123}{999} =-\frac{12111}{999}$

As this number can be written as a fraction, it is a rational number.