Which of the following are true statements about the expression $7-(-7) ?$ $\newline$ Choose $2$ answers: $\newline$ (A) The expression describes the number that is $7$ to the left of $7$ on the number line. $\newline$ (B) The expression describes the number that is $7$ to the right of $7$ on the number line. $\newline$ (C) The expression equals $0$ . $\newline$ (D) The expression equals $14$ .

Full solution

Q. Which of the following are true statements about the expression

7-(-7) ?

\newline

Choose

2

answers:

\newline

(A) The expression describes the number that is

7

to the left of

7

on the number line.

\newline

(B) The expression describes the number that is

7

to the right of

7

on the number line.

\newline

0

\newline

(D) The expression equals

14

Evaluate Expression: We need to evaluate the expression $7-(-7)$ to understand its value on the number line. $\newline$ Calculation: $7 - (-7) = 7 + 7 = 14$
Determine True Statements: Now that we know the value of the expression is $14$ , we can determine which statements are true. $\newline$ Statement A suggests that the expression is $7$ to the left of $7$ on the number line, which would be $0$ . This is incorrect because the expression equals $14$ , not $0$ .
Statement A Evaluation: Statement B suggests that the expression is $7$ to the right of $7$ on the number line. Since the expression equals $14$ , and $14$ is $7$ units to the right of $7$ on the number line, this statement is true.
Statement B Evaluation: Statement C suggests that the expression equals $0$ . This is incorrect because the expression equals $14$ , not $0$ .
Statement C Evaluation: Statement D suggests that the expression equals $14$ . This is correct because the expression $7-(-7)$ indeed equals $14$ .