Which statements about opposites are true?

Select each correct answer.


A. The opposite of the opposite of a number is the number itself.

B. The opposite of a number is always a negative number.

C. A non-zero number and its opposite are located on opposite sides of zero on a number line.

D. The opposite of a number is 1 divided by that number.

Respuesta :

Answer:

The correct answers are A. The opposite of the opposite of a number is the number itself and C. A non-zero number and its opposite are located on opposite sides of zero on a number line.

Step-by-step explanation:

A: The opposite of 7 is -7, the opposite of that opposite is 7. The same number you started with.

B: This is incorrect because when you have a negative number, its' opposite is positive. To make this correct, we could say "The opposite of a positive number is always a negative number".

C:  Zero is the only number that does not have an opposite. Therefore, any number that isn't zero has an opposite. -7 would be on the left of zero, while 7 would be to the right of zero.

D: Dividing a number by one gives you a fraction of the initial number, therefore this is also incorrect. To make this correct, we could say, "The opposite of a number is -1 multiplied by that number".

Hope this helps,

A.W.E.S.W.A.N.

Answer:

A and C

(A)The opposite of the opposite of a number is the number

(C) A non-zero number and its opposite are located on opposite sides of zero on a number line

Hope it helps

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