Question

Use the number line to show and explain why 4/10 ÷ 2 and 4/10 × 1/2 both equal 2/10

Answer 1

Explanation:

When you divide by a number, you basically are multiplying by the reciprocal

The reciprocal of 2 is 1/2

4/10 ÷ 2 = 4/10 × 1/2 = 2/10

4/10 × 1/2 = 2/10

Using a number line,

Start at 4/10 and move down by 2 until you reach 0

Start at 4/10 and move up by 1/2 from 0 until you reach 4/10

(Count the number of humps)

Both will be the same