7th Grade The Number System

Power

A base raised to an exponent ex. 5³

Terminating Decimal

A decimal that stops, or terminates.

Mixed Number

A number made up of a whole number and a fraction. ex. 5¾

Squared

A number with an exponent of 2

Cubed

A number with an exponent of 3

Rational Numbers

A real number that can be written as a ratio of two integers. A number that can be written as a fraction a/b with a and b are both integers, but b can never be 0.

Order of Operations

A rule for evaluating expressions: first perform the operations in parentheses, then compute powers and roots, then perform all multiplication and division from left to right, and then perform all addition and subtraction from left to right.

Integer

All whole numbers (both positive and negative) and zero.

Equivalent Fractions

Different fractions that have the same value. Ex: ½ = 2/4 = 3/6

Improper Fractions

Fractions where the numerator is greater or equal to the denominator (5/3)

Least Common Denominator

The smallest number that can be used for all denominators of 2 or more fractions. Example: the Least Common Denominator of 1/2 and 2/3, is 6 because they can be written as 3/6 and 4/6.

Base

The value that is raised to a power when a number is written in exponential notation. in the term 5³, 5 is the base.

Repeating Decimal

When the same block of digits in a decimal repeats, without end. The repeating block can include one or more digits. (Ex. 5.355555555555... and 0.171717171717...)

Exponent

The number of times the base is multiplied by itself. In the term 5³, 3 is the exponent.

Opposite Number

Numbers that are the same distance from zero in the opposite direction (-3 and 3)

Absolute Value

The distance a number is from zero on a number line. ALWAYS POSITIVE

Numerator

The number above the line in a fraction

Denominator

The number below the line in a fraction