Order of Operations

numerical expression

a mathematical phrase containing numbers

evaluate

to calculate an expression to get a single value

operations

addition, subtraction, multiplication, and division

parentheses or brackets

symbols used to group numbers and operations, and are used to change the normal order in which you perform operations

order of operations

a set of rules that ensures the same result every time an expression is evaluated

Stands for parenthesis or all grouping symbols & is done first in the order of operations

P in PEMDAS

Stands for exponents & is done second in the order of operations

E in PEMDAS

Stands for multiply & divide and is done from left to right & is done third in the order of operations

MD in PEMDAS

Stands for add & subtract and is done from left to right & is done last in the order of operations

AS in PEMDAS

exponent or power

The raised number 5 - tells how many times you multiply the 4 by itself (5 times)

base

The big number below - the number that is multiplied by itself (8)

cubed

number to the 3rd power or times itself three times

squared

number to the 2nd power or times itself two times

commutative property

numbers can change order when you multiply or add to get the same answer

associative property

numbers can be grouped when you multiply or add to get the same answer

grouping symbols

parenthesis, brackets, fraction bars (all done first in order of operations)

Identity property

number x 1 = the same number (multiplication) or  number +0 = the same number (addition)

digit

number 0,1,2,3,4,5,6,7,8,9

compatible numbers

numbers that are easy to compute mentally

factor

numbers multiplied together to make a product

6²

six squared or to the second power

6³

six to the third power or cubed

6⁵

six to the fifth power

variable

symbol, usually a letter, that represents one or more numbers

variable expression

consists of numbers & variables

3 · x, or 3(x), or 3x

three multiplied by three

equation

mathematical sentence with equal sign between 2 expressions

solution

number that solves an equation if substituted for the variable

solve

find all solutions of equation

sum

result of adding two or more numbers

product

result of multiplying two or more numbers

difference

result of subtracting one number from another

quotient

result of dividing one number by another