9.6 Math 7 Lab: Rational vs. Irrational Numbers

Irrational numbers are numbers that can NOT be written as a fraction.

• This type of number has a decimal that does not end AND does not repeat​

irrational numbers

Rational numbers are numbers that can be written as a fraction.

• This includes decimals that end or repeat

• The denominator can NOT be 0!​

rational numbers

​Rational vs. irrational numbers

Multiple Select

Which of the following numbers are rational numbers?

(Select all that apply)

• $$3\frac{4}{7}$$  

• $$-6.83\overline{2}$$  

• $$3\pi$$  

• $$-5.32984615...$$  

• $$17$$  

Open Ended

Write your own example of a rational number

Multiple Select

Which of the following numbers are irrational?

(Select all that apply)

• $$-9.587321...$$  

• $$\frac{5}{11}$$  

• $$2\pi$$  

• $$0.17171717...$$  

• $$3$$  

Open Ended

Write your own example of an irrational number

Multiple Select

What type of number is -4?

(Select all that apply)

• Natural

• Whole

• Integer

• Rational

• Irrational

Multiple Select

What type of number is 49?

(Select all that apply)

• Natural

• Whole

• Integer

• Rational

• Irrational

Multiple Select

What type of number is -0.6598426...?

(Select all that apply)

• Natural

• Whole

• Integer

• Rational

• Irrational

Multiple Select

What type of number is $$6.\overline{35}$$  ?

(Select all that apply)

• Natural

• Whole

• Integer

• Rational

• Irrational

Multiple Select

What type of number is 0?

(Select all that apply)

• Natural

• Whole

• Integer

• Rational

• Irrational

Open Ended

Do you have any unanswered questions about rational or irrational numbers?