Question

7 - (-8) = 15

1. what number sentence is modeled by the vertical number line?

vertical number line with 0 at top, -1, -2, -3 (dashed), -4, -5, -6, -7, -8 (dashed, arrow pointing here from -3), -9
a. 3 + 5 = 8 (crossed out) b. -8 + 5 = -3 (circled)
c. -5 + (-3) = -8 d. -3 + (-5) = -8

Explanation:

Step1: Analyze the number line

The vertical number line starts at -8 (dashed line) and moves up (positive direction) by 5 units (since from -8 to -3 is a change of 5, as \(-8 + 5=-3\)).

Step2: Evaluate each option

• Option A: \(3 + 5 = 8\) uses positive numbers, not matching the negative - starting number line.
• Option B: \(-8+5=-3\) matches the movement from -8 up 5 to -3.
• Option C: \(-5+(-3)=-8\) is adding two negative numbers, direction is down, not matching the upward movement.
• Option D: \(-3+(-5)=-8\) is also adding negative numbers, direction down, not matching.

Answer:

B. \(-8 + 5 = -3\)