Real Numbers

Vocabulary

100

Numbers that can be written as the ratio of two integers in which the denominator is not zero

Rational Number

200

A number, a variable, or a product of a number and one or more variables

monomial 

300

decimal form of a rational number 

repeating decimal

400

a repeating decimal where the repeating number is zero

terminating decimal 

500

a product of repeated factors using an exponent and a base

Power

Rational Numbers

100

Write 1/10 as a decimal

0.1

200

Write the fraction as a decimal 4/5

0.8

300

Is 1/3 >, <, or = .33

equal

400

determine if 13/15 is repeating or terminating 

0.86 - repeating 

500

Convert the mixed number to a decimal 5 and 5/16

5.3125

Powers and Exponents

100

2 x 2 x 2 x 2

2⁴ or 16

200

(-5)(-5)(-5)(q)(q)(q)

(-5)³ x (q)³

300

3 x 2 x 3 x 4 x 3 x 2 x 3

3⁴ x 2² x 4

400

a * (7) * a * (7) * (7)

a² * 7³

500

(-5/6)(-5/6)(-5/6)

(-5/6)³

Multiplying and Dividing Monomials

100

36d¹⁰ ÷ 6d⁵

6d⁵

200

h⁷ ÷ h⁶

h¹

300

(3x⁸)(5x)

15x⁹

400

(-p)(-11p²)

11p³

500

5³ x 7⁵ x 10 ÷ 5 x 7⁷

5² x 7¹ x 10 or 1750

Powers of Monomials

100

(2²)⁷

2¹⁴

200

(z¹¹)⁵

z⁵⁵

300

[(4³)²]²

4¹²

400

(6a²b⁶)³

216a⁶b¹⁸

500

What is the volume of a cube with a height of 7m⁶n⁹?

343m¹⁸n²⁷ units³