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

C. Rational

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
`(123)/(999)`

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

`-12*(999)/(999) =-(11988)/(999) \\-(11988)/(999)-(123)/(999) =-(12111)/(999)`

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

Answer 2

C

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.