Question

what did the electricians boss say when he was late to work? determine whether the following are rational or irrational numbers. 1. 2 2. 0.18732649... 3. 2.44444444... 4. π 5. - 15 6. √2 7. 2 2/3 8. √16 9. √20 10. 1.123456789... 11. ∛8 12. 7/5 13. -√36 14. 3.7̅ 15. √244 12 8 1 9 14 10 5 13 6 4 15 2 3 7 11 © www.mathfunbook.com 8.ns.1 - distinguish between rational/irrational

Explanation:

Step1: Recall rational - number definition

A rational number can be written as a fraction $\frac{p}{q}$ where $p,q$ are integers and $q
eq0$, or as a terminating or repeating decimal.

Step2: Analyze number 1 (2)

2 can be written as $\frac{2}{1}$, so it's rational.

Step3: Analyze number 2 (0.18732649...)

It is a non - repeating, non - terminating decimal, so it's irrational.

Step4: Analyze number 3 (2.44444444...)

It is a repeating decimal, so it's rational.

Step5: Analyze number 4 ($\pi$)

$\pi$ is a non - repeating, non - terminating decimal, so it's irrational.

Step6: Analyze number 5 (-15)

-15 can be written as $\frac{-15}{1}$, so it's rational.

Step7: Analyze number 6 ($\sqrt{2}$)

$\sqrt{2}$ is a non - repeating, non - terminating decimal, so it's irrational.

Step8: Analyze number 7 ($2\frac{2}{3}=\frac{8}{3}$)

It is a fraction of two integers, so it's rational.

Step9: Analyze number 8 ($\sqrt{16} = 4$)

4 can be written as $\frac{4}{1}$, so it's rational.

Step10: Analyze number 9 ($\sqrt{20}=2\sqrt{5}$)

$\sqrt{20}$ is a non - repeating, non - terminating decimal, so it's irrational.

Step11: Analyze number 10 (1.123456789...)

It is a non - repeating, non - terminating decimal, so it's irrational.

Step12: Analyze number 11 ($\sqrt[3]{8}=2$)

2 can be written as $\frac{2}{1}$, so it's rational.

Step13: Analyze number 12 ($\frac{7}{5}$)

It is a fraction of two integers, so it's rational.

Step14: Analyze number 13 ($-\sqrt{36}=-6$)

-6 can be written as $\frac{-6}{1}$, so it's rational.

Step15: Analyze number 14 (3.$\overline{7}$)

It is a repeating decimal, so it's rational.

Step16: Analyze number 15 ($\sqrt{244}=2\sqrt{61}$)

$\sqrt{244}$ is a non - repeating, non - terminating decimal, so it's irrational.

Using the order 12, 8, 1, 9, 14, 10, 5, 13, 6, 4, 15, 2, 3, 7, 11 to pick the letters from the "Rational" and "Irrational" columns:

Answer:

WHATEVER YOU SAY BOSS