Which statements about opposites are true? 1) The opposite of a number is 1 divided by that number. 2) The opposite of the opposite of a number is the number itself. 3) A non-zero number and its opposite are located on opposite sides of zero on a number line. 4) The opposite of a number is always a negative number

Respuesta :

You have the next statements:

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

No, the opposite of a number is the number that when adde with it, the result is 0.

It means that the opposite is the negative number. You get the oppoosite number by multiplying the number with (-1).

Example:

The opposite of 5 is:5*(-1) = -5

2) The opposite of the opposite of a number is the number itself.

Yes, the opposite of the opposite of a number is the number itselg, we can see it in the next example:

The opposite of 5 is:5*(-1) = -5

And the opposite of -5 is: -5*(-1)= 5

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

Yes, the opposite numbers are one possitive and the other negative it means that opposite numbers are on opposite sides of zero on a number line.

Example:

4) The opposite of a number is always a negative number​.

No, the opposite number can be possitive or negative, it depends of the initial number.

Example:

The opposite of 5 is:5*(-1) = -5

And the opposite of -3 is: -3*(-1)= 3

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