Question

which expression is represented on the number line? -1.2 -0.8 -0.4 0 0.4 0.8 1.2 -0.2·(-3) -0.6·3 -0.2·3 -0.6·(-3)

Explanation:

Step1: Analyze the number - line movement

The arrow on the number - line starts from 0 and moves 3 steps of 0.2 units to the left. Each step is 0.2 units and the direction is negative.

Step2: Write the multiplication expression

Moving 3 steps of 0.2 units to the left can be represented as \(-0.2\times3\). When we multiply a negative number \(- 0.2\) by a positive number 3, we get a negative result.

Answer:

C. \(-0.2\cdot3\)