Unit 6: Rational & Irrational Numbers Review

Multiple Choice

Is $$\frac{77}{3}$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$.\overline{11}$$ rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$-\sqrt{64}$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$\sqrt{40}$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Is $$17.33$$  rational or irrational?

• Rational

• Irrational

Multiple Choice

Select the only RATIONAL number:

• $$\sqrt{2}$$

• $$\frac{\pi}{4}$$

• $$\pi$$

• $$\sqrt{49}$$

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

includes integers, fractions, terminating and repeating decimals.

• Rational Numbers
• Irrational Numbers

Multiple Choice

.141414141414...

• Rational 
• Irrational 

Multiple Choice

pi - 3.141592....

• Rational
• Irrational 

Multiple Choice

√25

• Rational
• Irrational

Multiple Choice

4π

• rational
• irrational

Multiple Choice

What is a rational number?

• A number that makes sense

• a number that can be written as a fraction of whole numbers

• any number you can enter into a calculator

• a number that has a square root

Multiple Select

Select all the rational numbers

• 17

• 0.2

• 36/11

• √16

If rational numbers can be written as fractions, the irrational numbers cannot.

Multiple Choice

What is a perfect square?

• A number whos square root is a whole number

• a number that is divisible by 4

• a number raised to the second power

Multiple Select

Which of these are perfect squares?

• 14

• 16

• 9

• 53

• 2

Multiple Choice

Estimate the value of √18 to the nearest whole number.

• 5

• 4

• 9

• 8

Multiple Choice

Estimate the value of √118 to the nearest whole number.

• 10

• 11

• 50

• 58

Multiple Select

Which of these is a perfect cube?

• 9

• 27

• 125

• 8

Multiple Choice

Classify the Number: -23

• Rational
• rational, integer
• integer
• rational, whole

Multiple Choice

Does the graphic organizer correctly group the numbers?

• Yes
• No

Multiple Choice

In the decimal   .263,  the place value of
"6" is called the _____.

• tenths
• hundreds
• hundredths
• thousandths

Multiple Choice

Write 0.08 as a fraction

• 8/10
• 8/100
• 0/8
• 8/0

Multiple Choice

What is 2/3 as a decimal?

• 2.3

• 0.66 (repeating)

• 3.2

• 6.6

Multiple Choice

Convert  2 $$\frac{3}{10}$$  to a decimal.

• 2.03

• 2.3

• 2.33

• 23.3

Multiple Choice

Convert the mixed number  $$1\frac{1}{6}$$ to a decimal .

• 1.6

• 1.67

• 0.1666

• $$1.1\overline{6}$$  

• 1.1

Multiple Choice

Convert to a decimal

2/11

• 0.1818...

• .2111...

• .1919...

• .18

Multiple Choice

What does the fraction bar represent or translate to in a fraction?

• Under

• Multiply

• Divided by

• Denominator

Multiple Choice

Convert 0.252525... to a fraction.

• 25/9
• 25/99
• 25/100
• 1/4

Multiple Choice

Convert 0.769769769... to a fraction.

• 769/999
• 769/1000
• 769/100
• 769/99

Multiple Choice

• 77/25
• 77/250
• 308/9
• 308/999

Multiple Choice

• 2   23/100
• 2   23/10
• 2   23/9
• 2   23/99

Multiple Choice

The area of a square is 36 cm².  What is the length of one side?

• 6 cm
• 24 cm
• 9 cm
• 9 cm

Multiple Choice

2² = _____

• 2
• 6
• 4
• 16

Multiple Choice

√196 = ______

• 14
• 14²
• 15
• 15²

Multiple Choice

Solve √x = 10

• 100, -100
• -100
• 100

Multiple Choice

Solve √x = 25

• 5
• -5
• 625
• -625

Multiple Choice

$$^{3\sqrt{8}}$$  

• $$\frac{8}{3}$$  

• $$2$$  

• $$512$$  

• $$5$$  

Fill in the Blank

$$\sqrt[3]{27}=$$  

Fill in the Blank

$$\sqrt[3]{-343}=$$  

-

Multiple Choice

Which of the following is irrational?

• $$\sqrt{49}$$

• $$\sqrt{50}$$

• $$\sqrt{81}$$

• $$\sqrt{121}$$

Multiple Choice

Identify the two consecutive integers in which the square root lies between: $$\sqrt{95}$$  

• 8 and 9

• 9 and 10

• 10 and 11

• 11 and 12

Multiple Choice

Identify the two consecutive integers in which the square root lies between: $$\sqrt{320}$$  

• 14 and 15

• 15 and 16

• 16 and 17

• 17 and 18

Multiple Choice

Identify the two consecutive integers in which the square root lies between: $$-\sqrt{17}$$  

• -4 and -5

• -5 and -6

• -6 and -7

• -7 and -8

Multiple Choice

Identify the two consecutive integers in which the square root lies between: $$-\sqrt{156}$$  

• -9 and -10

• -10 and -11

• -11 and -12

• -12 and -13

Multiple Choice

Identify the two consecutive integers in which the square root lies between: $$\sqrt{48}$$  

• 4 and 5

• 5 and 6

• 6 and 7

• 7 and 8

Multiple Choice

What two integers is  $$\sqrt{89}$$  between?

• 85 & 90

• 7 & 8

• 8 & 9

• 9 & 10

Multiple Choice

What two integers is  $$\sqrt{250}$$  between?

• 15 & 16

• 16 & 17

• 18 & 19

• 14 & 15

Multiple Choice

What two integers is  $$\sqrt{150}$$  between?

• 10 & 11

• 11 & 12

• 12 & 13

• 13 & 14

Fill in the Blank

What two integers is  $$\sqrt{75}$$  between?

Multiple Choice

$$\sqrt{11}$$ estimate and round to the nearest tenth 

• 9.2

• 5

• 11.4

• 3.2

Multiple Choice

√48 estimate and round to the nearest tenth

• 7.1

• 6.9

• 24

• 6.3

Multiple Choice

Estimate the square root to the nearest tenth: $$\sqrt{61}$$  

• 7.4

• 7.5

• 7.7

• 7.8