Q:

Drag the values into the boxes to classify each number as rational or irrational.

Accepted Solution

A:
Rational: 
√100     = 10
5/4
7.3
0.002475
0.01
√(4/9)  =    2/3
All of these numbers can be written as a ratio of two whole numbers. In the case of the decimal numbers, remember that you can always just put the number over 100, or 1,000, or 10,000. In the case of √4/9, you can simplify to 2/3. √100 can simplify to 10

Irrational: 
√2/24
This is the only irrational number listed. This number cannot be expressed as a ratio of two whole numbers, because the radical cannot be taken out