Question

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


`\sqrt{ (4)/(9) }`

`\sqrt{ (2)/(24) }`

`√(100)`

`(5)/(4)`
7.3
0.002475
0.01

Answer 1

A rational number is any number that can be expressed as a whole number, a fraction, or as a nonrepeating decimal. Otherwise, it is an irrational number.

√4/9: When you simplify this, it becomes 2/3. Hence, this is a rational number.
√2/24: The simplest form when you reduce is 1/√12. Hence, this is an irrational number.
√100: This is equal to 10. Therefore, this is a rational number.
5/4: Since 5/4 is a fraction, it is a rational number.
7.3: This is a fixed decimal, hence, this is rational.
0.002475: This is a fixed decimal, hence, this is rational.
0.01: This is a fixed decimal, hence, this is rational. It is actually equal to 1/10.