Question

Locate$\frac{3}{5},2.8and-\frac{5}{2}$on a number line.

Short answer

Located $\frac{3}{5},2.8and-\frac{5}{2}$on a number line is given below

Step-by-step solution

. Given information

Given fractions and decimals are $\frac{3}{5},2.8and-\frac{5}{2}$.

We need to plot them on a number line.

.  Locating decimal on  number line

The given decimal is 2.8 and 2.8 is equivalent to $\frac{28}{10}$.This 2.8 located between 2 and 3.

On a number line we can divide the interval between 2 and 3 into 10 equal parts and mark the parts like this 2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,2.9

now easily locate the decimal 2.8.the number is here

. Locating  proper fraction on a number line

Given proper fraction is $\frac{3}{5}$and this situated between 0 and 1.To locate the given fraction ,divide the distance between 0 and 1 into 5 equal parts since denominator here is 5.Now we can easily locate the given fraction.

. Locating the improper fraction on a number line.

The improper fraction is $-\frac{5}{2}$and to plot this fraction into mixed fraction ,we get $-\frac{5}{2}=-2\frac{1}{2}$and whole number here is -2 so this fraction lies between -2 and -3.To locate $-\frac{1}{2}$,divide the space between -2 and-3 into 2 equal parts , since denominator is 2 and then locate.