Topic 1 Review

Classifying Numbers& Repeating Decimal to Fraction

100

What is 0.44444444.... written as a fraction?

4/9

200

How would you classify the number, pi? 

Irrational

300

What is 0.6666666.... written as a fraction?

2/3

400

How would you classify 0? List all it's categories.

Rational, Integer, Whole

500

What is 0.756756756.. written as a Fraction? Your answer must be completely simplified.

28/37

Comparing & Order Numbers

100

Compare the following Numbers

35/7 ________ 5

35/7 ____=____ 5

200

Order the following Numbers least to greatest:

1/3, 4, -0.3333333...., 0.334, -1

-1, -0.3333333...., 1/3, 0.334, 4

300

Compare the following sets of numbers:

2pi __________ 6.283

2pi _____>_____ 6.283

400

Order the following numbers from Least to Greatest.

cube root -27, 10², -4.5, 10.11111..., 0

-4.5, cube root -27, 0, 10.11111..., 100

500

Order the following numbers in DESCENDING order:

cube root of 125, 0, cube root of -1, square root of 56, -128/9, -pi, (5.1 x 10²)

(5.1 x 10²), square root of 56, cube root of 125, 0, cube root of -1, -pi, -128/9

Squares, Cubes, & Equations

100

1.) Find the Square Root of 324

2.) Find the Cube Root of 2,197

1.) 18

2.) 13

200

x³ = -64

x = -4

300

1.) What two perfect squares does 56 fall between?

2.) What two whole numbers does 56 fall between?

3.) Estimate the square root of 56 to the nearest tenth.

1.) Square root of 49 & 64

2.) 7 & 8

3.) approx: 7.5

400

3x² + 2 = 110

x = 6, -6

500

Jeremy has a cubed shaped box with a volume of 4,096 inches cubed. What is one side length of the box? What is the area of one face of the box?

Side Length: 16 inches

Area: 256 inches squared

Exponent Rules

100

x⁰

1

200

This is a division problem.

x^-4

x^-1

x^-3

300

x² ⋅ x³

x⁵

400

Simplify Completely 

(3x³)³

27x⁹

500

Simplify using only positive exponents.

(x³y^-7)²

Top of fraction:   x⁶

Bottom of Fraction:   y¹⁴

Scientific Notation

100

Convert the following to Standard Form

9.003 x 10²

900.3

200

Convert the following to Scientific Notation

0.000643

6.43 x 10^-4

300

Correct the following Scientific Notation

126.24 x 10^-8

1.2624 x 10^-6

400

Multiply the following Scientific Notation. Your answer should be in correct Scientific Notation.

(4.5 x 10²)(3.1 x 10⁴)

1.395 x 10⁷

500

Divide the following Scientific Notation.

(5.074 x 10¹⁶) / (5.9 x 10¹¹)

8.6 x 10⁴