Which division problem does the number line below best illustrate?

A number line going from 0 to 2 in increments of 0.2.

2 divided by one-fifth = 10
1 divided by one-fifth = 10
2 divided by one-tenth = 5
1 divided by one-tenth = 5

1 answer

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 \( 2 ÷ (1/5) = 10 \).

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