Question

Locate 2.8,3/5,-5/2 on the number line

Short answer

The located 2.8 ,3/5 and -5/2 on a number line is here

Step-by-step solution

Given information

Given decimal 2.3 and fractions are $\frac{3}{5},-\frac{5}{2}.$

We have to locate these decimal and fractions on a number line.

Description about locating decimal 2.8 on a number line.

Here decimal is 2.8.This 2.8 is equivalent to$\frac{28}{10}$.so decimal 2.8 is lies between 2 and 3.On a number line divide the interval between 2 and 3 into 10 equal parts and marks the parts like this 2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,

2.9.Now we can easily plot decimal 2.8 on number line.

Step 3:Description of locating fraction 3/5

Consider the given proper fraction $\frac{3}{5}$. This fraction is between 0 and 1. Dividing the the distance between 0 and 1 into five equal parts, since the denominator is 5 and locate 3/5.

step4:Description of locating -5/2

Here given improper fraction is $-\frac{5}{2}.$To locate easily convert improper into mixed fractions, we get$-\frac{5}{2}=-2\frac{1}{2}$

To locate$-2\frac{1}{2}$,first label the points between -1 and-2 and then to locate 1/2 .Divide the sections between -1 and -2 into two equal parts since 2 is the denominator. Now we can plot the fraction -5/2 on a number line.