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Vocabulary

100

What is one way to tell whether a number is rational or not?

1. It is written as a ratio/fraction.

2. It has a terminating decimal.

3. It has a repeating decimal.

200

What is one way to tell if a number is irrational?

1. It can't be written as a fraction.

2. It's decimal goes on forever without repeating/having a pattern.

300

How do you turn a fraction into a decimal?

Dividing the numerator (top number) by the denominator (bottom number).

400

A fraction has a numerator and a denominator. Which one goes on top of the fraction bar, and which one goes on bottom?

The numerator goes on top, and the denominator goes on bottom.

500

What is a ratio?

The relationship between two numbers/How many times one number can fit within another number.

Place Value, Rounding, and Conversions

100

Round the following rational number to the nearest tenth.      912.843

912.8

200

Convert the following ratio to a decimal. 43/100

.43

300

What place value is the 2 in the following rational number?     84.3025

The thousandths place.

400

Convert the following decimal to a fraction (extra points for simplest form).   6.32

6-32/100  or  6-8/25

500

Convert the following decimal into a fraction.       .33 (repeating). Extra points for simplest form.

33/99  or 3/9

Squares, Cubes, and Roots

100

What is 13 squared? 13^2

169

200

What does it mean to square a number?

To multiply a number by itself.

300

What is the square root of 164 rounded to the nearest tenth?

12.8

400

What is 8 cubed? 8^3

512

500

What is the cubed root of 125?  ∛125

5

Real Numbers

100

Give an example of an irrational number.

√7 , Pi (π ), 8.6357..... etc.

200

Give an example of a Natural Number.

8, 12, 208, etc. (anything greater than 0)

300

What is the definition of an integer?

A whole number that is either positive or negative.

400

What is the definition of a Real Number?

1. Numbers that include both rational and irrational numbers.

500

Name all of the categories within the Real Number System that the following number falls under...           √16

1) A Natural Number, 2) A Whole Number, 3) An Integer, 4) A Rational Number.

Solving Problems

100

Solve the following problem.  4² + (-16)

0

200

Solve the following problem. Round to the nearest tenth.    √12+7

4.4

300

Solve the following equation. ∛700+29

9

400

Solve the following equation.   4∛10-2

8

500

Solve the following equation.  3√7-10

Not a real number/Imaginary.