Fractional Position on a Number Line

We show whole numbers on the number pne. The number pne between successive whole numbers is spanided into as many equal parts or units as required using marks. Each unit thus can show fractional numbers on the number pne.

In the number pne below, there are 8 parts between 0 and 1. So each of the part is a 1/8^th and the spanisions are 1/8^th unit apart.

What is the position of A on the number pne below?

Write your answer as a fraction.

Solution

Step 1:

We must count the number of parts between 0 and 1.

The marks spanide one unit into 8 parts and thus each of this are 1/8^th and are 1/8^th unit apart.

Step 2:

We see that A is on the 4^th mark to the right of 1. So A is at 4/8 mark on the number pne

What is the position of B on the number pne below?

Write your answer as a fraction or mixed number.

Solution

Step 1:

We must count the number of parts between 1 and 2.

So the marks spanide one unit into 8 parts and thus each of this are 1/8^th and are 1/8^th unit apart.

Step 2:

We see that B is on the 7^th mark to the right of 1. So B is at 1$frac{7}{8}$ on the number pne.