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The problem asks to identify the number line model that correctly represents the expression $-4 + 7.5$. This means we need to find a number line that starts at 0, moves 4 units to the left (representing $-4$), and then moves 7.5 units to the right (representing $+7.5$).

ArithmeticNumber LineAdditionNegative NumbersDecimal NumbersVisualization
2025/3/21

1. Problem Description

The problem asks to identify the number line model that correctly represents the expression −4+7.5-4 + 7.5. This means we need to find a number line that starts at 0, moves 4 units to the left (representing −4-4), and then moves 7.5 units to the right (representing +7.5+7.5).

2. Solution Steps

Let's analyze each option:
A) This number line starts at 0, moves 4 units to the left to −4-4, and then moves to the right. The length of the rightward arrow appears to be 7.

5. So, this option seems correct.

B) This number line does not start at zero and initially moves to the right instead of to the left. This is incorrect because we must move to the left at first to depict the first term −4-4.
C) This number line doesn't start from zero and does not move to -4 initially. This is incorrect.
The expression is −4+7.5-4 + 7.5.
First, start at zero and move 4 units to the left, ending at −4-4.
Then, from −4-4, move 7.5 units to the right.
−4+7.5=3.5-4 + 7.5 = 3.5.
The option that correctly represents this is option A.

3. Final Answer

A

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