Topic 1: Real Numbers Unit Test Review

Rational & Irrational Numbers

100

What is a rational number?

A number that can be written as a fraction, a decimal that repeats or terminates

200

What is an irrational number?

A number that cannot be written as a fraction, a decimal that does not terminate and does not repeat (goes on forever with no pattern).

300

Is the √42 rational or irrational?

Irrational - it is not a perfect square

400

Determine the numbers that are irrational: 

√36, √23, -4.232323..., 0.15155155515555..., 0.35, 𝜋

Irrational: √23, 0.15155155515555..., 𝜋

500

Write 0.777777.... as a fraction.

7/9

Square Roots & Cube Roots

100

What is the square root of 144?

12

200

Solve for x

x³ = 64

x = 4

300

A gift box is a cube with a volume of 512 cubic inches.  What is the length of each edge of the box?

³√512 = 8

400

Between which two whole numbers does √89 lie?

√89 is between 9 and 10

500

Order the following numbers from least to greatest: 2.333..., √8, 2.5, 2¼

2¼, 2.333..., 2.5, √8

Exponent Rules

100

6⁴ x 6³ =

6⁷

200

7³ x 2³ =

14³

300

4¹⁰ ÷ 4⁴ =

4⁶

400

(3⁶)^-2 =

3^-12 = 1/3¹²

500

9⁰ =

1

Scientific Notation

100

Write 803,000,000 in scientific notation

8.03 x 10⁸

200

Write 0.0000000068 in scientific notation.

6.8 x 10^-9

300

(2.08 x 10⁴) x (4 x 10⁵)

8.32 x 10⁹

400

(6 x 10⁹) ÷ (2.4 x 10³)

2.5 x 10⁶

500

(4.1 x 10⁴) + (5.6 x 10⁶)

5.641 x 10⁶

¿MYSTERY?

100

Who is the inventor of the telephone?

Alexander Graham Bell

200

What kind of fish is Nemo?

Clownfish

300

In 2004, what baseball team won the World Series for the first time in 86 years?

The Boston Red Sox

400

What is an archipelago?

A group of islands (Ex: Hawaii)

500

In which country did Halloween originate?

Ireland