MATH SOLVE

4 months ago

Q:
# 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.Β

β4/9: When you simplify this, it becomes 2/3. Hence, this is a rational number.

β2/24: The simplest form when you reduce is 1/β12. Hence, this is an irrational number.

β100: 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.

β4/9: When you simplify this, it becomes 2/3. Hence, this is a rational number.

β2/24: The simplest form when you reduce is 1/β12. Hence, this is an irrational number.

β100: 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.