how is the product of 3 and 2 shown on a number line?

Explanation:

Step1: Recall multiplication on number - line

Multiplication as repeated addition. $3\times2$ means adding 2 three - times or adding 3 two - times.

Step2: Analyze adding 2 three - times

Starting from 0, we make 3 jumps of 2 units to the right. First jump from 0 to 2, second jump from 2 to 4, third jump from 4 to 6.

Step3: Check the options

We look for the number - line with 3 jumps of 2 units starting from 0 to the right.

Answer:

The number - line with arrows starting at 0, making 3 jumps of 2 units to the right (the first option if the top - most one is considered the first)