Question

A) Draw a number line from 0 to 2. Then draw and label the points 2 and 0.2. B) use the number line to explain why 2 is 10 times the value of 0.2​

Answer 1

See attachment

Explanation:

A) We draw the number line as shown in the attachment with intervals of 0.2 from 0 to 2.

B) Observe that, from 0 to 0.2 you move one units to get to 0.2.

From 0 to 2, on the number line with intervals of 0.2, you move 10 units from 0.

This means that:

`2 = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2`

This gives us:

`2 = 0.2(1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)`

Then finally we have:

`2 = 0.2(10)`

By the commutative property of multiplication:

`2 = 10 * 0.2`