45 terms

absolute value

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

integers

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

zero pairs

two numbers whose sum is zero; also called additive inverses

Identity Property of Addition

If you add zero to a number, the sum is the same as that number.

a+0=a, 0+a=a

a+0=a, 0+a=a

Identity Property of Multiplication

If you add zero to a number, the sum is the same as that number.

Associative Property

Changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication

Commutative Property

move numbers around and they mean the same thing *THINK COMMUTE = move

Distributive Property

a(b + c) = ab + ac

The distributive property comes into play when an expression involving addition is then multiplied by something. It tells us that we can add first and then multiply, or multiply first and then add. Either way, the multiplication is "distributed" over all the terms inside the parentheses.

The distributive property comes into play when an expression involving addition is then multiplied by something. It tells us that we can add first and then multiply, or multiply first and then add. Either way, the multiplication is "distributed" over all the terms inside the parentheses.

Decimal addition/subtraction rule

line up the decimals

Decimal multiplication rule

multiply as normal, and then count decimal places in the factors to place the decimal in the product

Integer Addition Rule

same sign add and keep the sign; different signs subtract the absolute values of the integers and keep the sign of the greater absolute value (hint: make zero pairs)

Integer Subtraction Rule

Add the opposite: keep the first integer, change the operation sign to addition and change the sign of the second integer, then follow the addition rules

Integer Rule for Multiplication and Division

-same sign positive answer

-different signs negative answer

-different signs negative answer

Percent

A ratio that compares a number to 100

Ratio

a comparison of two quantities by division

Proportion

An equation stating that two ratios are equal

Percent of a number

write the percent as a fraction and then multiply or write the percent as a decimal and then multiply

Percent of change

the percent a quantity increases or decreases from its original amount

expression

A mathematical phrase that contains operations, numbers, and/or variables.

equation

A mathematical sentence that contains an equals sign.

simple interest

interest paid on the principal alone

rate

A ratio that compares two quantities measured in different units

unit rate

comparison of two values, where one value (usually the numerator) is 1

rational number

A number that can be written as a fraction

repeating decimal

A decimal that repeats a digit or group of digits forever.

terminating decimal

A decimal number that ends or terminates

exponent

A mathematical notation indicating the number of times a quantity is multiplied by itself.

monomial

Number, variable, or the product of numbers and variables

decimal

A number less than a whole number

reciprocal

(mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2

division property of equality

Dividing the same number to each side of the equation produce an equivalent equation

multiplication property of equality

Multiplying the same number to each side of the equation produce an equivalent equation

coefficient

A number multiplied by a variable.

terms

numbers and variables that make up expressions and equations

addition property of equality

If you add the same numbers to each side of an equation, both sides are still equal

subtraction property of equality

Subtracting the same number to each side of the equation produces an equivalent equation

obtuse angle

An angle that measures more than 90 degrees but less than 180 degrees

acute angle

an angle that measures less than 90 degrees

right angle

an angle that measures exactly 90 degrees

straight angle

an angle that measures exactly 180 degrees

adjacent angles

Angles that have a common side and a common vertex (corner point).

vertical angles

Angles that are across from one another. EQUAL (congruent) to one another.

complementary angles

Two angles whose sum is 90 degrees

supplementary angles

Two angles whose sum is 180 degrees

congruent

Having the same size and shape