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: $6 + (-6) = 0$
Analyzing Statements: Now let's analyze the statements given: $\newline$ A) The expression describes the number that is $6$ to the left of $6$ on the number line. $\newline$ This statement is incorrect because adding $-6$ to $6$ would result in a number that is $6$ units to the left of $0$ on the number line, not $6$ .
Statement A: B) The expression describes the number that is $6$ to the right of $6$ on the number line. $\newline$ This statement is incorrect because adding $-6$ to $6$ would not move us to the right of $6$ on the number line; it would bring us back to $0$ .
Statement B: C) The expression equals $0$ . This statement is correct because the calculation we performed in the first step confirms that $6 + (-6)$ equals $0$ .
Statement C: D) The expression equals $12$ . This statement is incorrect because the calculation we performed in the first step confirms that $6 + (-6)$ does not equal $12$ , but $0$ .