Drag the values into the boxes to classify each number as rational or irrational[tex] \sqrt{ \frac{4}{9} } [/tex][tex] \sqrt{ \frac{2}{24} } [/tex][tex] \sqrt{100} [/tex][tex] \frac{5}{4} [/tex]7.30.0024750.01
Accepted Solution
A:
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.