(10 POINTS) Drag the values into the boxes to classify each number as rational or irrational.
Answer:
1. Rational
2. Not rational
3. Rational
4. Rational
5. Rational
6. Not Rational
7. Not Rational
Step-by-step explanation:
Any number that can be expressed as a fraction [tex]\frac{x}{y}[/tex], where y ≠ 0 is called a rational number.
1. [tex]\frac{11}{3}[/tex] is a rational number.
2. [tex]\sqrt{48} = 6.92820323[/tex] that can not be expressed as a fraction. So, it is irrational.
3. [tex]6.25 = \frac{25}{4}[/tex], hence it is a rational number.
4. 0.01045 can be expressed as [tex]\frac{209}{20000}[/tex], hence it is rational number.
5.[tex]\sqrt{\frac{16}{81} } = \frac{4}{9}[/tex], hence it is a rational number.
6. [tex]\sqrt{\frac{3}{16} } = 0.433012701[/tex] that can not be expressed as a fraction, Hence, it is irrational.
7. 0.424242424242 .... is not a rational number as it can not be expressed as a fraction. (Answer)