Order of Operations

Order of Operations

7th grade review of Order of operations

Math 7NS. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

d. Apply properties of operations as strategies to add and subtract rational numbers.

Order of Operations

​also known as PEMDAS

• Parenthesis (and other symbols) () , {},[]

• Exponents -  2^3 5^1

• Multiplication, Division from Left to Right

• Addition, Subtraction from Left to Right

(Please Excuse My Dear Aunt Sally)

Multiple Choice

What does the P in PEMDAS stand for?

• Parenthesis
• Power

• Point

• Plus

Multiple Choice

Which of the following are examples of grouping symbols?

• () , {}, []

• 2^2 , 3^3 , 4^4

• $$\sqrt[2]{2\ \ \ },\ \sqrt[3]{3},\ \sqrt[4]{4}$$

• $$2\times2\ ,\ 3\times3,\ 4\times4$$

" Remember Grouping symbols are always first " 

Multiple Choice

When are grouping symbols completed ?

• first
• last

Match

Match the following steps in the order of operations

• Grouping Symbols

• $$2^2,\ 4^2,\ 3^2$$

• Multiplication

• $$\frac{4}{5\ }\ ,\ 4\div5\$$

• Addition / Subtraction

(),{},[]

Exponents

3x3 , 2x2 , 4x4

Division

2-2 , 2+2

• (),{},[]

• Exponents

• 3x3 , 2x2 , 4x4

• Division

• 2-2 , 2+2

Exponents

​Remember when you see exponents

Exponents, also known as powers, are values that show how many times to multiply a base number by itself.

For example 2⁴ = 2x2x2x2 = 16.

Draw

Draw $$4^2$$ in expanded form

How would we solve the problem below ?

​Remember we must use the order of operations.

2x3+6-4

Multiple Choice

2x3+6-4

• 8

• 12

• 6

• 2

Multiple Choice

In the following problem which operation comes first?

(10/5)x5-4

• parenthesis

• division

• multiplication

• subtraction

Multiple Choice

4/2+18

• 30

• 20

• 10

• 19

Multiple Choice

(10/2) x 8-7

• 33

• 40

• 5

• 8

Multiple Choice

(6/3) x 3+10

• 2

• 16

• 13

• 9

Multiple Choice

{ 3 +14} x 10 -1

• 170

• 169

• 171

• 17

Multiple Choice

[ 20/5] x 3

• 12

• 4

• 43

• 5

Multiple Choice

$$10\ x\ 5\ +\ 6^2$$

• 86

• 50

• 36

• 80

Multiple Choice

20+2-3

• 20

• 19

• 18

• 17

Multiple Choice

$$5\ x\ 3\ -\ 3^2$$

• 6

• 5

• 7

• 8

Real World Problem

Since one pound of peanuts is $3, and you bought 2 pounds, peanuts cost $6.00. Add that to the amount you pay for the water($1.00), you would pay $7 dollars.

​Answer

Going to the supermarket and purchasing items. Suppose peanuts cost $3.00 per pound and a bottle of water is $1.00. You get 2 pounds of peanuts and 1 bottle of water. How much would you pay?

​Problem

Dropdown

What is the first step to solve the problem?

2 x 3 +1​

Select answer

Poll

How confident do you feel about using the order of operations? on the scale of

1-5

• 1 not confident at all

• 2

• 3

• 4

• 5 very confident