Orders of Operation

What would be to first step? 2 x [ (15 - 3) ➗ 5]

(15-3)

What would be the first step in this problem? 9 x (2 -1)

(2-1)

What operation would you perform first? 4 + 6 - 7

+ (Addition) When addition and subtraction are in the same problem, you solve the problem left to right.

What operation would you perform first? 9 - 7 + 5

- (subtraction) When addition and subtraction are in the same problem, you solve the problem left to right.

What operation would be performed first? [ (5 + 7 x 5) ➗ 8] x 4

7 x 5, because it is within the grouping symbols and must be performed before addition.

What are nesting grouping symbols?

A set or sets grouping symbols that are inside of another set of grouping symbols. [ (3 + 4) x (8-3)] ➗ 5 The parenthesis are nested within the brackets.

What are grouping symbols?

Grouping symbols are parentheses ( ), brackets [ } and braces { }.

What operation would be last and why? 2 x [ (15-3) ➗ 5]

Multiplication It is the operation that is outside of the grouping symbols.

What does Grace, Excuse My Dear Aunt Sally help us remember?

The order in which we perform operations in a problem. Grace - G - Grouping Symbols Excuse - E - Exponents (not used in 5th grade) My - M- Multiplication Dear - D- Division Aunt - A - Addition Sally - S- Subtraction Inverse operations must be done in order from left to right

Yields the same result

This phrase means equal.

the same result

This phrase means equal.

inverse operations

Two operations that undo each other addition and subtraction are inverse operation 6 + 2 = 8 8 - 2 = 6 multiplication and division 9 x 4 = 36 36 ➗ 4 = 9

Increased

Usually refers to addition

What operation would you perform first? 6 x 7 ➗ 8

X (Multiplication) When multiplication and division are in a problem, you solve the problem left to right.

What does the word operation mean?

add, subtract, multiply and divide

product

the answer to a multiplication problem.

difference

the answer to a subtraction problem

Sum

the answer to an addition problem.

What a operation would you perform first? 72 ➗ 8 x 6

➗ (division) When multiplication and division are in a problem, you solve the problem left to right.