Question

question 2 of 8 which number line correctly represents $-1.25 - 0.75$?

Explanation:

Step1: Calculate the result of the expression

We need to find the value of \(-1.25 - 0.75\). When subtracting a positive number from a negative number, we can think of it as adding the absolute values and keeping the negative sign. So, \(1.25 + 0.75 = 2.00\), so \(-1.25 - 0.75=-2.00\).

Step2: Analyze the number lines

We need to find the number line where the point representing the result (which is \(-2.00\)) is correctly marked. Looking at the options, we check the position of the yellow dot (assuming it represents the result). The calculation gives us \(-2.00\), so we look for the number line where the yellow dot is at \(-2.00\) after the subtraction (moving left from \(-1.25\) by \(0.75\), since subtraction on a number line means moving left). The second number line (from the left) has the yellow dot at \(-2.00\) when we consider the movement of \(0.25 + 0.25+ 0.25 = 0.75\) units left from \(-1.25\)? Wait, no, first calculate the result: \(-1.25 - 0.75=-2.00\). So we need the number line where the final point is at \(-2.00\). Let's re - check:
The operation is \(-1.25-0.75\). Let's do the arithmetic: \(-1.25-0.75 =-(1.25 + 0.75)=-2.00\). Now, looking at the number lines, the second number line (counting from the left) has the yellow dot at \(-2.00\) (the position after moving left from \(-1.25\) by \(0.75\), which is three steps of \(0.25\) each, since \(0.75\div0.25 = 3\)). So the number line where the yellow dot is at \(-2.00\) is the correct one.

Answer:

The second number line from the left (the one with the yellow dot at \(-2.00\) after moving left from \(-1.25\) by \(0.75\) (three \(0.25\) intervals)) is the correct one. If we assume the options are labeled as, say, A, B, C, D from left to right, then the answer is the second option (e.g., if the first is A, second B, etc., then B). But based on the visual, the second number line (with the yellow dot at \(-2.00\)) is correct.