Alg. 1 Rational and Irrational Numbers

Rational and Irrational Numbers

Real numbers just means any numbers no matter if there positive or negative

Open Ended

What Do You Think A Rational Number Is?

Open Ended

What Do You Think Irrational Numbers Are?

Practice

On a separate sheet of paper sort out the numbers and place them under the right category.

Multiple Choice

A repeating decimal is what type of number?

• Rational 

• Irrational

Multiple Choice

A never ending decimal is which type of number?

• Rational 

• Irrational

Multiple Choice

Which number is an irrational number?

• 2.5

• 5.72314.....

• -17

• 1/2

Multiple Choice

Which of the following numbers is irrational?

• √8

• ¾

• 2

• -1.325

Multiple Choice

Which of the following is rational?

• .211232112421125. . . .
• π
• √25
• √12

Multiple Choice

Select the only RATIONAL number:

• $$\sqrt{2}$$

• $$\frac{\pi}{4}$$

• $$\pi$$

• $$\sqrt{49}$$

Multiple Choice

Is $$-7341.2$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$17.33$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Select the ONLY irrational number:

• $$\frac{152}{6}$$

• $$.149203827...$$

• $$3\times\sqrt{4}$$

• $$-.747474747474...$$

Multiple Choice

$$6\ \cdot\frac{1}{2}\$$  

• Rational Number

• Irrational Number

Multiple Choice

Is $$-2\pi$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

$$\frac{1}{3}\ \cdot\ \sqrt{2}$$  

• rational number

• Irrational Number

Multiple Choice

Is $$\left(\sqrt{2}\right)^2$$  rational or irrational? (Hint: Simplify before choosing!)

• Rational

• Irrational

Multiple Choice

$$5\ +\sqrt{36}$$  

**make sure you simplify this!

Think - what number times itself is 36?

• Rational 

• Irrational

Multiple Choice

$$\frac{1}{2}\cdot\frac{3}{4}\cdot\ \sqrt{2}$$  

• Rational

• Irrational

Multiple Choice

If a and b are rational numbers, then a + b will give you what type of answer?

• Rational

• Irrational

Multiple Choice

If a and b are anything BUT zero and rational, then

$$\frac{a}{b}$$  would be which type of number?

• rational

• irrational

Multiple Select

Select all the expressions that result in a rational number.

Multiple Choice

Classify this number.

$$\frac{\pi}{2}$$

• Rational

• Irrational

Multiple Choice

√4+√25

• rational
• irrational

Multiple Choice

√2+√4

• rational
• irrational

Multiple Choice

$$\frac{\pi}{\pi}$$

_{be careful!!!}

• Rational

• Irrational

Multiple Choice

Which of these is rational?

• π

• √2

• √2+√25

• √4