Rational and Irrational Numbers

Rational vs. Irrational

100

Is 4.3333... a rational or irrational number?

4.3333... is a rational number

200

Is 8.123 a rational or irrational number?

Rational number

300

Is 1/2 a rational or irrational number?

Rational number

400

Explain why 5.671038475... is an irrational number.

It is a nonterminating decimal that does not have a pattern, so it cannot be written as a fraction.

500

Which of the following is an irrational number? 

A. 0.9999... 

B. 3/5 

C. -7 

D. 3.928374...

D. 3.928374...

Standard form to Scientific Notation

100

Convert to scientific notation: 234000

2.34 x 10⁵

200

Convert to scientific notation: 8,000,000

8 x 10⁶

300

Convert into scientific notation: 0.0000345

3.45 x 10^-5

400

Convert to scientific notation: 0.00094

9.4 x 10^-4

500

Convert to scientific notation: 0.00003045 

3.045 x 10^-5

Properties of Exponents

100

Simplify. 

(5⁶)(5³)

5⁹

200

Solve

7⁸ / 7³

7⁵

300

(3x)⁰

1

400

(x³)^-4

x^-12

500

(5yz)^2

25y²z²

Square Roots and Perfect Squares

100

what is 4²

16

200

The square root of 89 is between which two numbers?

9 and 10

300

Approximate the value of 

sqrt(13)

to the nearest tenths place. 

3.6

400

What is (-6)² 

36

500

Place the following in order from least to greatest:

sqrt(15), 16/3 , 4 

sqrt(15), 4 , 16/3

Cube Roots and Perfect Cubes

100

What is the cube root of -125?

-5

200

what number is both a perfect square and a perfect cube?

64

300

What is the cube root of 8?

2

400

Which is the larger number? Square root of 25 or the cube root of 27?

The square root of 25 is larger. 

500

What is the length of one edge of a cube if its volume is 27 cubic feet.

3 feet