Explain a process to find at least three decimals that are i

Explain a process to find at least three decimals that are in between two other decimals. Provide an example. (Choose two decimals, then use your process to find 3 other decimals that are in between the ones you chose.)

Solution

a)

Let, a ,b be two decimals

b>a

Let three decimals between them be

a+d,a+2d,a+3d

a+4d=b

4d=b-a  

d=(b-a)/4

Let, a=0.1, b=0.2

d=(b-a)/4=0.1/4=.025

So three decimals in between are

.125,150,.175