Question

Locate on the number line: ⓐ $0.9$ ⓑ$-0.75$

Short answer

The required number line is

(a)

(b)

Step-by-step solution

Given numbers  

Given numbers are$0.9,-0.75$

Procedure 

(a) The decimal number $0.9$is equivalent to$\frac{9}{10}$a proper fraction, so $0.9$is located between 0 and 1. On a number line, we divide the interval between 0 and 1 into 10 equal parts. Now we label the parts$0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.0$and mark $0.9$on the number line.

(b) The decimal number $-0.75$is equivalent to$-\frac{75}{100}=-\frac{1}{4}$, a proper fraction, so is located between -1 and 0. On a number line, we divide the interval between -1 and 0 into 4 equal parts. Now we label the parts$-1,-0.75,-0.5,-0.25$and mark $-0.75$on the number line.

The line

The number lines are

(a)

(b)