Question

Select the number line model that matches the expression |-6 - (-3)|.

A) 3 units
B) 4 units
C) 9 units
D) 12 units

Answer 1

The expression |-6 - (-3)| simplifies to the absolute value of -3, which is 3. Therefore, the number line model that matches the expression is 3 units.

Step-by-step explanation:

The expression given is |-6 - (-3)|. To solve this, we first simplify inside the absolute value sign. Subtracting a negative is the same as adding, so we have |-6 + 3|, which simplifies to |-3|. The absolute value of -3 is 3, because absolute value measures the distance a number is from zero on a number line, regardless of the direction. Hence, the correct answer is 3 units, which matches option A from the given choices.