Factors & Multiples

Numeric expression

a mathematical phrase that contains numbers and operations.

Equation

a mathematical sentence that uses an equals sign to show that two expressions are the same as one another.

Distributive Property of Multiplication over Addition

states that for any numbers a, b, and c, the equation a(b + c) = ab + ac is true.

Power

has two elements: the base and the exponent.

Base

of a power is the factor multiplied by itself repeatedly.

Exponent

of the power is the number of times you use the base as a factor.

Common factor

A number that is a factor of two or more numbers

Greatest common factor (GCF)

is the largest factor two or more numbers have in common.

Commutative Property of Multiplication

states that for any numbers a and b, the product a ⋅ b is equal to the product b ⋅ a.

Multiple

is the product of a given whole number and another whole number.

Relatively prime

Two numbers where the only common factor they share is 1.

Least common multiple (LCM)

is the smallest multiple (other than zero) that two or more numbers have in common.

Algorithm

is a process or description of steps you can follow to complete a mathematical calculation.

Positive rational number

is a number you can write in the form _ a b, where a and b are both whole numbers greater than zero.

Reciprocal (multiplicative inverse)

is one of a pair of numbers whose product is 1. The multiplicative inverse of the number _ a b is the number _ b a, where a and b are nonzero numbers.

Complex fraction

is a fraction that has a fraction in either the numerator, the denominator, or both the numerator and the denominator.