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Order of Operations

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(P.E.M.D.A.S F.L.T.R.)

- “ ”= Parenthesis “()”
- “”= Exponent “22”
- “”= Multiplication “6x8”
- “ ”= Division “9÷3”
- “”= Addition “7+5”
- “”= Subtraction “10-4”
- FLTR

P.E.M.D.A.S.F.L.T.R is also know as the Order of Operations.

Order of Operations is the order in which you perform mathematical operations to solve an equation.

We need P.E.M.D.A.S.F.L.T.R because it helps us solve equations properly and always the same way.

Remember: Calculate an equation in the wrong order and you will get the wrong answer.

Used to group equations.

Parenthesis can also be shown as brackets.

”[ ] or { }”.

An example of an equation with parenthesis is:

6 (5+3)

Choose the proper way to solve the equation:

A. 6x5 =30

30 + 3 = 33

B. 5+3 =8

8 x 6 = 48

Answer:

Used to multiply the same number repeatedly.

Exponent tells how many times a base number is multiplied to itself.

5 = 5x5x5 =125

An example of an equation using exponents is:

5 x 2

Choose the proper way to solve the equation:

A.2 = 4

4x5 = 20

B. 5 x 2 = 10

10 = 100

Answer:

2

2

3

2

Use the table on the right to help you.

Multiplication is just a faster way to add.

Choose the proper way to solve the equation:

2 + 5 x 3

A.5 x 3 = 15

15 + 2 = 17

B.2 + 5= 7

7 x 3 = 21

Answer:

Division is splitting a larger number into smaller parts.

Remember to check your division with multiplication.

An example of an equation with division in it is:

Choose the correct way to solve the equation:

12 4 + 2

A.4 + 2 = 6

12 6 = 2

B. 12 4 = 3

3 + 2 = 5

Answer:

It is tempting to want to solve addition first in an equation.

Remember: only solve addition first if it is in parenthesis.

An example of an equation with addition in it is:

Choose the proper way to solve the equation

(113 + 19) + 81 =?

A. 113 + 19 = 132

132 + 81 = 213

B. 19 + 81 = 100

100 + 113 = 213

Answer:

Subtraction is when you take away an equal or smaller amount from a number.

You can check your subtraction with addition.

An example of an equation with subtraction in it is:

74 – (12 - 4)

The proper way to solve this equation is:

A. 74 – 12 = 62

62 – 4 = 58

B. 12 – 4 = 8

74 – 8 = 66

Answer:

The Order of Operations is:

P.E.M.D.A.S.F.L.T.R

arenthesis

xponents

ultiplication

ivision

ddition

ubtraction

FLTR

6x4÷2+3=?

- 24÷2+3

- 12+3

Answer:

15÷(6x2-9)=?

15÷(12-9)

15÷(3)

Answer:

(32+5)÷7=?

- (9+5)÷7

- 14÷7

Answer:

7+(6x52+3)=?

7+(6x25+3)

7+(150+3)

7+(153)

Answer:

- (18+2)÷5
- 20÷5

Answer:

(3x6+2)÷5=?

An easy way to remember PEMDASFLTR is:

leasexcuse

y

earunt

ally From Leaving the Room