Question

starting at zero, which expression represents the number line shown below? a -0.75 - 3.25 b 3.25 + -0.75 c 3.25 - -0.75 d -0.75 + 3.25

Explanation:

Step1: Analyze number line movement

Start at $0$, first move left $0.75$ units (to $-0.75$), then move right $3.25$ units. This translates to the expression $-0.75 + 3.25$.

Step2: Verify other options

• Option A: $-0.75 - 3.25 = -4$, which would end at $-4$, not matching the number line.
• Option B: $3.25 + (-0.75)$ starts at $3.25$, moves left $0.75$, which does not start at $0$.
• Option C: $3.25 - (-0.75) = 4$, which ends at $4$, not matching the number line.

Answer:

D. -0.75 + 3.25