Math 8: Real Numbers

Terminating/Repeating Decimals

100

True or False: 0.8 is a terminating decimal.

True

200

Which decimal is equivalent to -3 19/30 ?

-3.63 (the 3 in the hundredths place repeats)

300

True or False: 5/33 is a terminating decimal.

False. It is a repeating decimal.

400

Which decimal is equivalent to -11/16 ? 

-0.6875

500

Write 5/9 as a decimal.

0.5 (the digit 5 repeats)

Square Roots

100

What is the square root of 16?

4 or -4

200

What is the square root of 64?

8 or -8

300

b² = 121

b = 11 or b = -11

400

What is the square root of -81?

Not possible. You cannot take the square root of a negative number.

500

What is the square root of 98? 

9.89949493661 or -9.89949493661

Cube Roots

100

What is the cube root of 8?

2

200

What is the cube root of -125 ?

-5

300

c³ = -27

c = -3

400

x³ = 343

x = 7

500

What is the cube root of 568 ? 

8.28163549885

Real Numbers

100

A number that can be written in the form of a fraction is called a...

Rational Number

200

A number that cannot be written in the form of a fraction is called a...

Irrational Number

300

Rational or Irrational?  Square root of 25

Rational Number

400

A number that is either rational or irrational

Real Number

500

Rational or Irrational Number? Square root of 45

Irrational Number

Compare/Order Real Numbers

100

Which is greater? 2 1/5 or the square root of 7?

Square root of 7

200

3 1/2    Square Root of 12

3 1/2 > Square root of 12

300

True or False: The square root of 6 is greater than 2.5.

False.

400

True or False: 3 4/5 is greater than the square root of 16

False.

500

Order the set from least to greatest: 3 1/2, 10/3, 3.14159, square root of 13

3.14159, 10/3, 3 1/2, square root of 13