Topic 1 - Real Numbers

Cubes and Cube Roots

100

The cube root of 27

What is 3?

200

2³

What is 8?

300

The volume of a cube is 64. What is the length of one side?

What is 4?

400

Solve:

x³=125

What is 5?

500

Solve:

x³=50

What is

root3(50

?

Square Roots

100

Square root of 121

What is 11?

200

Estimate to the nearest tenth

sqrt(37

What is 6.1?

300

Which is greater?

sqrt(91

9.1

What is 

sqrt(91

400

Solve:

x²=16

What is 4, -4?

500

Solve:

x²=10

What is + or -

sqrt(10

?

Real # System

100

Which number is irrational: a) 2/35 b) -8 c) 17.171717171...... d) 1.87319........

What is 1.87319.....?

200

Which number is not an integer: a) cube root of 1 b) 100^2 c) -3.8 d) -8

What is -3.8?

300

Which number is rational?

1) 1.454545...

2) -122.6670981780...

3) 

sqrt(15

What is 1.45 repeated

400

A rational number can be written as this.

What is a ratio?

500

Put these in order from least to greatest:

11/2, 5.1, sqrt(32), 20/4

What is 

5, 5.1, 5.5, sqrt32

Properties of Exponents

100

Simplify: 

2^3*2^8

What is 

2^11

200

Simplify: 

(4^3*4^2)^4

What is 

4^20

300

Simplify: 

(5^5*5^-1)/5^2

What is

5^2

?

400

Simplify: 

8^-4

What is 

1/8^4

500

Simplify: 

1/7^-10

What is

7^10

?

Scientific Notation

100

True or false: this number is in scientific notation: 28.3 x 10^8

What is false?

200

Write in scientific notation:  0.00045

What is 

4.5*10^-4

300

Write in Scientific Notation:  1,456

What is 

1.456 * 10^3

400

3.47*10^-3

Write in Standard form

0.00347

500

Solve:  

(2.5*10^8)(3*10^-2)

What is 

7.5*10^6