Unit #1 (Real Numbers) Test Review

Ordering Real Numbers

200

Arrange from least to greatest

0.07, 1/5, 9%, 0.08, 0.083

0.07, 0.08, 0.083, 9%, 1/5

400

15.62, √97, 8, 4𝝅, 10.45

Arrange in descending order.

15.62, 4𝝅, 10.45, √97, 8

600

-26/65, -0.38, -39%, -34/100

Arrange from descending order

-34/100, -0.38, -39%, -26/65

800

85%, 9/10, 15/20, 92%, 21/25 and 79%.

Arrange from least to greatest.

15/20, 79%, 21/25, 85%, 9/10, 92%

1000

1/4, 20%, 0.35, 1/3

Order in ascending order

20%, 1/4, 1/3, 0.35

Real Number System

200

𝝅 belongs in these sets of numbers. (Name ALL sets)

What are Irrational and Real Numbers?

400

All repeating decimals belong in these sets of numbers. (Name ALL sets)

What are Rational and Real Numbers?

600

All Real Numbers fit into these two sets.

What are Rational and Irrational Numbers?

800

√64 belongs in which sets of numbers. (Name ALL sets)

What are Natural, Whole, Integers, Rational, and Real Numbers?

1000

Irrational numbers are never these (two) types of decimals.

What are Repeating and Terminating Decimals?

Roots and Exponents

200

√16 

What is 4?

400

The area of a square is 256cm². What is the length of one of the sides of the square?

Hint: Area=(length)²

16 cm

600

³√125

What is 5?

800

√289 

What is 17?

1000

18³

What is 5832?

Fractions

200

2/5+3/4

What is 

23/20?

400

19/5*16/19

What is 

16/5?

600

9/10-:9/2

What is 

1/5

800

13/30-1/6

What is 

4/15?

1000

Convert the following to a mixed number:

97/10

What is 

9 7/10?

Scientific Notation

200

A grain of sand has a mass of 3.0 X 10 ^-4 gram. Write the number in standard notation

0.0003

400

Which exponent would be most appropriate when 0.0000389 in scientific notation?

-5

600

Write the following from least to greatest (give your answer using the letters A,B,C)

A) 3.25 X 10⁶ ,    B) 5.32 X 10⁵ ,    C) 2.35 X 10⁵

C B A

800

The speed of light in over 299,000,000 m/s. Write the number in scientific notation.

2.99 X 10⁸

1000

Write the following in scientific notation:

0.00000676

6.67 X 10^-6

Order of Operations

200

2 xx 2/(3*4^2)

What is 

1/12?

400

9xx(15+4-3^2)

What is 90?

600

sqrt(18-1-1^0)-3^3

What is -23?

800

2/3(18-:3)+16^2

What is 260?

1000

(24-(6^2-(10+2)))/(76^3-sqrt(94-:(11-3))+6)

What is 0?

Evaluating Expressions

200

Simplify

7xx7xxx xx x xx 7

What is 343x²?

400

Simplify the following

axxaxx9xxbxxcxxcxxa

What is

9a^3bc^2?

600

Let x=9 and y=6 and solve the following

y+2/3x

What is 12?

800

If s=8 and t=6, Solve the following:

sqrt(8t-2s)-st

What is -40?

1000

Simplify the following (no negative exponents in the final answer)

a^2b^-6c^4

What is 

(a^2c^4)/b^6?