The number line you described, going from 0 to 2 in increments of 0.2, best illustrates the division problem:
2 divided by one-fifth = 10.
Here's why:
- One-fifth (0.2) is represented as an increment on the number line.
- When you divide 2 by 0.2, you are essentially determining how many increments of 0.2 fit into 2.
- This calculation can be expressed as \( 2 ÷ 0.2 = 2 ÷ (1/5) = 2 × 5 = 10 \).
So, the number line showing the increments of 0.2 implies the division by one-fifth leading to the conclusion that \( 2 ÷ (1/5) = 10 \).