Question

how is the product of 2 and -5 shown on a number line?

Explanation:

Step1: Calculate the product

\(2\times(-5)=-10\)

Step2: Understand number - line movement for multiplication

Positive times negative means moving left on number - line.

Step3: Determine number of movements

Since the multiplier is 2, move 5 units left twice.

Answer:

The product of 2 and - 5 is \(2\times(-5)=-10\). On a number - line, multiplying a positive number 2 by a negative number - 5 means starting from 0 and moving 5 units to the left (because of the negative sign of - 5) two times. So the correct representation is the number - line where the arrows start from 0 and move 5 units to the left twice, ending at - 10. Looking at the options (not labeled here but based on the description), the correct one is the number - line with arrows starting at 0, moving 5 units to the left for the first arrow and then another 5 units to the left from the end - point of the first arrow, ending at - 10.