Question

Partition a number line from 0 to 1 into fifths. Decompose 2/5 into 4 equal lengths.

Answer 1

Required parts are [0, 0.1), (0.1, 0.2) (0.2,0.3) (0.3, 0.4] having length = 1/10

Step-by-step explanation: Here when we divide number line from 0 to 1.

Then we get five equal parts, [0,0.2) (0.2,0.4) (0.4, 0.6) ( 0.6, 0.8) (0.8,1]

Where each having length = 1/5

Now, since 2/5 part of [0,1] is [0,0.2]

When we decompose [0,0.2] into four equal parts then these parts are,

[0, 0.1), (0.1, 0.2) (0.2,0.3) (0.3, 0.4]

Where each having length = 1/1 <3

Answer 2

Answer: Required parts are [0, 0.1), (0.1, 0.2) (0.2,0.3) (0.3, 0.4] having length = 1/10

Step-by-step explanation:

Here when we divide number line from 0 to 1.

Then we get five equal parts, [0,0.2) (0.2,0.4) (0.4, 0.6) ( 0.6, 0.8) (0.8,1]

Where each having length = 1/5

Now, since 2/5 part of [0,1] is [0,0.2]

When we decompose [0,0.2] into four equal parts then these parts are,

[0, 0.1), (0.1, 0.2) (0.2,0.3) (0.3, 0.4]

Where each having length = 1/10