Warm UpPick a set of four numbers given and make the number

24 from the four numbers. You can add, subtract, multiply and divide. Use all four numbers on the card, but use each number only once. You do not have to

use all four operations.

• 3, 8, 10, 4

• 1,1,5,6

• 1,2,2,4

• 2,3,4,8

Order of Operations

(G.E.M.D.A.S)

G.E.M.D.A.S.

• “ ”= Grouping Symbols ( ), [ ] , { }

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

What is G.E.M.D.A.S and why do we need

it?G.E.M.D.A.S. is also know as the Order of

Operations.

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

STEPS• 1st: Do what is inside of grouping

symbol ( ), { } or [ ].• 2nd: Simplify Exponents.• 3rd: Multiply or divide from left to

right.• 4th: Add or subtract from left to right.

GROUPING SYMBOLS“( )” , ”[ ] or { }”

•Used to group equations.

•Parenthesis ( ) Brackets [ ] or

Braces{ }

6 [100 – (5+3)2]

6 [100 – (8)2] 6 [100 – 16]6 [ 84 ]Answer: 504

xponents “22”• Used to multiply

the same number repeatedly.

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

• 53 = 5x5x5 =125

ultiplication “x ”

ivision “÷ ”

Do multiplication and division 3rd, from left to right.

ddition “+ ”

ubtraction “–”

Do addition and subtraction 4th, from left to right.

Practice6(4÷2)+3

Answer:

Practice7+(2[2x52 ]-3)

Answer:

Practice18÷(6x2-9)2

Answer:

Practice40-(32+5)÷7

Answer:

Practice(3x2-1)3÷5

Answer:

Practice75 - (36-6) 23 - 3

=

Answer:

Tips to Remember:

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An easy way to remember GEMDAS is:

Evaluate the following:

1. 18 + 36 – 32 =

2. 289 – (3 x 5)2 =

3. 45 + 81[(5+4) ÷ (7 - 4)2 ]=

4. 100 - (36-6)

12+ 3 =

5. 8 + (2 x 5) x 54 ÷ 5 =