Question

which of the following statements is not true about the numbers 7 and -7?
○ they are opposite numbers.
○ they form a zero pair.
○ they have the same absolute value.
○ they have a sum of -14.

Explanation:

Step1: Recall opposite numbers

Opposite numbers are numbers that are the same distance from 0 on the number line but in opposite directions. 7 and -7 are opposite numbers since \( -7 = -1\times7 \).

Step2: Recall zero pair

A zero pair consists of two numbers that add up to zero. \( 7 + (-7)=0 \), so they form a zero pair.

Step3: Recall absolute value

The absolute value of a number \( x \) is \( |x|=

$$\begin{cases}x, & x\geq0\\-x, & x < 0\end{cases}$$

\). \( |7| = 7 \) and \( |-7|=7 \), so they have the same absolute value.

Step4: Calculate the sum

Calculate the sum of 7 and -7: \( 7+(-7)=7 - 7=0
eq - 14 \).

Answer:

They have a sum of -14.