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

When you see the symbol on the bottom of the slide, copy the slide in your notebooks!!!

P.E.M.D.A.S.“ ”= Parenthesis “()”“ ”= Exponent “22”“ ”= Multiplication “6x8”“ ”= Division “9÷3”“ ”= Addition “7+5”

“ ”= Subtraction “10-4”FLTR- Multiply, Divide, Add, Subtract from Left to Right

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.

Although, we are very familiar with Please, Excuse, My, Dear, Aunt, Sally,

We sometimes forget that you multiply and divide from left to right and you add and subtract from left to

right.What does this mean? I always solve the expressions inside the grouping symbols and evaluated the powers

first, but if all that I have is multiplication and division or

addition and subtraction. I solve my problem from left to right.

Example: 11 – 8 + 2 3 + 2 = 5

arenthesis “( )”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:

xponents “22”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

2

3

ultiplication “x”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 3A. 5 x 3 = 15 15 + 2 = 17

B. 2 + 5 = 7 7 x 3 = 21

Answer:

ivision “÷”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 + 2A. 4 + 2 = 6 12 6 = 2

B. 12 4 = 3 3 + 2 = 5

Answer:

ddition “+”It is tempting to want to always solve addition first in an equation.

Remember: Solve addition first if it is in parenthesis or when solving from left to right

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:

ubtraction ”-”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:

Review arenthesis xponents

ultiplication ivision ddition ubtraction

FLTR

The Order of Operations is:

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

6x4÷2+3=?24÷2+3

12+3Answer:

Practice15÷(6x2-9)=?15÷(12-9)15÷(3)

Answer:

(32+5)÷7=?(9+5)÷7

14÷7Answer:

Practice7+(6x52+3)=?

7+(6x25+3)7+(150+3)7+(153)

Answer:

24 – 8 x 2 + 9 =?24 – 16 +

9 8 + 9

Don’t forget FLTR

Answer:

Although, we are very familiar with Please, Excuse, My, Dear, Aunt, Sally,

We sometimes forget that you multiply and divide from left to right and you add and subtract from left to

right.What does this mean? I always solve the expressions inside the grouping symbols and evaluated the powers

first, but if all that I have is multiplication and division or

addition and subtraction. I solve my problem from left to right.

Example: 24 – 16 + 9 8 + 9 = 17

Study Island

6th Grade

Math

Select: Order of Operations in TEST MODE, keep working in test mode until the time is up!!!!!

Independent Practice