Which of the following are true statements about the expression $6-(-6) ?$ $\newline$ Choose $2$ answers: $\newline$ (A) The expression describes the number that is $6$ to the left of $6$ on the number line. $\newline$ (B) The expression describes the number that is $6$ to the right of $6$ on the number line. $\newline$ (C) The expression equals $0$ . $\newline$ (D) The expression equals $12$ .

Full solution

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

6-(-6) ?

\newline

Choose

2

answers:

\newline

(A) The expression describes the number that is

6

to the left of

6

on the number line.

\newline

(B) The expression describes the number that is

6

to the right of

6

on the number line.

\newline

0

\newline

(D) The expression equals

12

Evaluate Expression: We need to evaluate the expression $6-(-6)$ to understand its value on the number line. $\newline$ Calculation: $6 - (-6) = 6 + 6 = 12$
Determine Position: Now that we know the value of the expression is $12$ , we can determine its position relative to $6$ on the number line. $\newline$ Since $12$ is greater than $6$ , the expression represents a number that is to the right of $6$ on the number line.
Analyzing Options: Let's analyze the given options: $\newline$ A. The expression describes the number that is $6$ to the left of $6$ on the number line. This is incorrect because the expression equals $12$ , which is to the right of $6$ .
Option A Explanation: B. The expression describes the number that is $6$ to the right of $6$ on the number line. This is incorrect because the expression equals $12$ , which is $6$ units to the right of $6$ on the number line.
Option B Explanation: C. The expression equals $0$ . This is incorrect because the expression equals $12$ , not $0$ .
Option C Explanation: D. The expression equals $12$ . This is correct because the calculation we performed in the first step confirms that $6-(-6)$ equals $12$ .