Question

which point on the number line represents the product of 4 and -2? point a point b point c point d

Explanation:

Step1: Calculate the product of 4 and -2

To find the product of 4 and -2, we use the rule for multiplying positive and negative numbers: a positive number multiplied by a negative number gives a negative result. So, \( 4\times(-2) = -8 \).

Step2: Identify the point representing -8 on the number line

We need to look at the number line (even though it's not fully shown here, we know from the calculation that the product is -8). So we find the point (among A, B, C, D) that is at -8 on the number line. (Assuming the number line has points labeled such that one of them is at -8; typically, if the number line is labeled with integers, the point at -8 would be the one corresponding to that value.)

Answer:

The point representing the product \( 4\times(-2)= -8 \) on the number line (the specific point among A, B, C, D that is at -8; for example, if Point X is at -8, then the answer would be that point. Since the number line details for the points aren't fully provided here, but the product is -8, the point corresponding to -8 on the given number line is the answer. If we assume the number line has points where, say, Point D is at -8 (common in such problems if the points are labeled from left to right as more negative to more positive), then the answer would be the point at -8, e.g., if Point D is -8, then \(\boxed{\text{Point D}}\) (or whatever the correct point is based on the actual number line labeling). But since the number line's point positions aren't fully visible, the key is that the product is -8, so the point at -8 is the answer.