Vocabulary
When multiplying numbers together the order does not matter. What property is this?
ex.) 2x4=4x2
Communicative Property of Multiplication
Which expression shows 9 less than the product of 4 times 6?
4x6-9
(4x2)-1=
7
The standard order in which mathematical operations are performed is called _________________.
Order of Operations
Mathematical operations that reverse each other’s results are called ______________.
ex.) Addition and Subtraction
or Multiplication and Division
Inverse Operations
When adding numbers together the order does not matter. What property is this?
ex.) 1+2=2+1
Communicative property of Addition
Which expression shows 6 more than the quotient of 90 divided by 10?
90/10+6
10/2+3=
8
What operation comes first:
(4+2)-5
Parentheses
What is the opposite of addition?
Subtraction
If you group the numbers together differently, multiplying the same numbers in a different order will have the same answer. What property is this?
Ex.) 1x(2x3) =(1x2)x3
Associative Property of Multiplication
Which expression shows 25 divided by 5, times the sum of 9 and 5?
(25/5)x(9+5)
5-3+1-2=
1
What operation comes first?
4+3-7x5
Multiplication
What is the opposite of multiplication?
If you group the numbers together differently, adding the same numbers in a different order will have the same answer. What property is this?
Ex.) 1+(2+3)=(1+2)+3
Associative Property of Addition
Which expression shows 6 more than the product of 7 times 8?
6+(7x8)
15/3x2=
10
What operation comes first?
ex.) 3-4+5-1
Subtract 3-4
What is the opposite of a square?
Square root
your answer will be the same whether you add what is in the parentheses and then multiply by your initial number OR multiply both values by your initial number and then add. What property is this?
ex.) 1(2 + 3) = 1 x 2 + 1 x 3
Distributive Property
Which expression shows 9 times the sum of 7 and 11?
9(7+11)
(3-1)+4x22=
18
What operation comes first?
15+4-2-1
Addition
When forced to make a decision between one function and its inverse for the order of operations, which direction do you work in?
Ex.) 4-2+1
Ex.) 10/2x4
Left to right