1. Insert a rational number and an irrational numbers between

A) 0.1 and 0.11

For this case we have the following definition:

A real number can be a rational number or an irrational number.

The rational numbers are those that can be expressed as the quotient of two integers, such as 3/4, - 21/3, 5, 0, 1/2, while the irrational numbers are all the others.

Between 0.1 and 0.11 we have:

Rational number: 105/1000 = 0.105

Irrational number: 01057685429832687