Order of Operations Students will use correct order

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Order of Operations Students will use correct order of operations to solve problems.

Order of Operations Students will use correct order of operations to solve problems.

Mathematical and algebraic expressions often contain more than one operation. Using the wrong order

Mathematical and algebraic expressions often contain more than one operation. Using the wrong order of operations can give you an incorrect answer. Many things must be done in a certain order to work correctly… putting on clothes, washing dishes, going to your classes, and many other things.

Mathematicians have agreed on a certain order for evaluating expressions, so we all arrive

Mathematicians have agreed on a certain order for evaluating expressions, so we all arrive at the same answers. We often use grouping symbols, like parentheses, to help us organize complicated expressions into simpler ones.

“Please Excuse My Dear Aunt Sally” is a helpful way to remember these rules

“Please Excuse My Dear Aunt Sally” is a helpful way to remember these rules for the order of operations.

Please First, do all operations that lie inside parentheses. Example: (3 + 12)2 +

Please First, do all operations that lie inside parentheses. Example: (3 + 12)2 + 3 x 9 (15)2 + 3 x 9 What do we do first?

Excuse Next, do any work with exponents (or roots). Example: (9)2 + 3 x

Excuse Next, do any work with exponents (or roots). Example: (9)2 + 3 x 7 + 2 81 + 3 x 7 + 2 What do we do first?

My Dear Working from left to right, do all multiplication and division. Example: 16

My Dear Working from left to right, do all multiplication and division. Example: 16 – 5 + 8 x 9 ÷ 3 What do we do first? 16 – 5 + 72 ÷ 3

Aunt Sally Finally, working from left to right, do all addition and subtraction. Example:

Aunt Sally Finally, working from left to right, do all addition and subtraction. Example: 5 + 27 – 9 – 33 32 – 9 – 33 What do we do first?

Here are some examples… Without Order of Operations Following Order of Operations 48 ●

Here are some examples… Without Order of Operations Following Order of Operations 48 ● 2 12 + 72 96 84 4+5● 7 9● 7 63 4 + 35 39 32 42 16 Problem 12 + 36 ● 2 1+ 1+9 10

Important Note: Be sure to follow the order of operations within the parentheses.

Important Note: Be sure to follow the order of operations within the parentheses.

Remember… “Please Excuse My Dear Aunt Sally” Parentheses, Exponents, Multiplication & Division, Addition &

Remember… “Please Excuse My Dear Aunt Sally” Parentheses, Exponents, Multiplication & Division, Addition & Subtraction

Some examples…. 8 x 22 + 7 x 5 (4 + 3 x 2)

Some examples…. 8 x 22 + 7 x 5 (4 + 3 x 2) - 5 *Exponents* 8 x 22 + 7 x 5 8 x 4+7 x 5 *Multiplication* 8 x 4+7 x 5 32 + 35 * Addition* 32 + 35 *Parentheses Multiplication* (4 + 3 x 2) - 5 (4 + 6) - 5 *Parentheses – Addition* (4 + 6) -5 10 - 5 *Subtraction* 10 - 5 67 5

Additional Example ( -3 ) – 5 • 2 – 2 5 – 22

Additional Example ( -3 ) – 5 • 2 – 2 5 – 22 + 2 Solve the top and bottom separately. TOP ( -3 ) – 5 • 2 – 2 ( -3 ) – 10 – 2 ( - 13 ) – 2 - 15 BOTTOM 5 – 22 + 2 5– 4+2 1+2 3 -15 3 -5

“Please Excuse My Dear Aunt Sally” Parentheses, Exponents, Multiplication & Division, Addition & Subtraction

“Please Excuse My Dear Aunt Sally” Parentheses, Exponents, Multiplication & Division, Addition & Subtraction STOP