Properties
Describe the associative property, which operations does it apply to (multiplication, division, subtraction, addition)
The associative property allows you to move around parenthesis in expressions that use exclusively addition or exclusively multiplication
Create an expression for the statement
I had 5 Pokemon cards, and I found 3 more
5 + 3
What is the acronym for the order of operations
PEMDAS
Solve
3 x 5 + 4
19
Write an expression for the statement
3 oranges, each one costs $1.25
3 x 1.25
Describe the commutative property, which operations does it apply to (multiplication, division, subtraction, addition)
The commutative property allows you to move around terms in expressions that use exclusively addition or exclusively multiplication
Create an expression for the statement
I had 27 grapes and I ate 11 of them
27 - 11
What does each letter in PEMDAS stand for?
Parenthesis, exponents, multiplication, division, addition, subtraction
Solve
10 x (4 + 3)
70
What is the order of the steps to evaluate the equation
15 - (37 + 8) ÷ 3
Parenthesis
Division
Subtraction
Describe the identity property of addition
Adding 0 to any number results in that same number
Create and expression for the statement
I had 12 cases of water with 24 bottles each, then I drank 5 bottles
12 x 24 - 5
What is the rule for evaluating expressions with multiple instances of multiplication and division? What order to we solve each instance
Left to right
Solve
10 ÷ 2 x 5
25
Solve
(57 + 4) x 4 - 16
228
Describe the identity property of multiplication
Multiplying any number by 1 results in that same number
Create an expression for the statement
John, Jimmy, James and I all shared 12 apples, then I ate 2 of them
12 ÷ 4 - 2
What is the rule for evaluating expressions with multiple instances of addition and subtraction? What order to we solve each instance
Left to right
Solve
23 + 5 x (4+3)
58
Solve
(17 - 6 ÷ 2) + 4 x 3
26
Describe the distributive property
Multiplying a number to a set of numbers being added together is the same thing as multiplying that number to both numbers being added, then finding the sum of those products. A x (B + C) = (A x B) + (A x C)
Create an expression for the statement
I have 5 oranges, I peel each one and break them into 8 slices, then give away 5, eat 3, and throw away 2
5 x 8 - (5 + 3 + 2)
What is the rule for evaluating expressions with multiple grouped expressions (sets of parentheses)
Solve the grouped expressions on the inside first, than work your way out
Solve
78 + 6 x (4 + 32)
156
How are the commutative and associative properties similar and how are they different?
They both involve altering the order of operations in expressions with exclusively addition or exclusively multiplication
The associative property moves around parenthesis while the commutative property moves numbers.