Question

Locate on the number line: (a) $0.6$(b)$-0.25$

Short answer

The required number line is

(a)

(b)

Step-by-step solution

Given number 

Given numbers are$0.6,-0.25$

Procedure

(a) The decimal number $0.6$is equivalent to$\frac{6}{10}$, a proper fraction, so $0.6$is located between 0 and 1. On a number line, we divide the interval between 0 and 1 into 10 equal parts. Now 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 0.4 on the number line.

(b) The decimal number $-0.25$is equivalent to$-\frac{25}{100}=-\frac{1}{4}$, a proper fraction, so $-0.25$is located between 0 and 1. 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 -0.25 on the number line.

The Line 

The number lines are

(a)

(b)