OBJECTIVES The students will perform the order of operations on integers by following GEMDAS rule

OBJECTIVES• The students will perform the order of operations on integers by following GEMDAS rule.

24- GAME

• 3, 8, 10, 4

• 1,1,5,6

• 2,2,6,11

• 1,2,2,4

• 2,3,4,8

VOCABULARY

• order of operations *operation• Expression • grouping symbols • Brackets *Braces

*parenthesis • Exponents *simplify

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.

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)]6[100 - (8)] 6 [92]Answer:552

xponents “22”• Used to multiply

the same number repeatedly.

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

• 53 = 5x5x5 =125

5 x 2 Choose the proper way

to solve the equation:

2 = 4 4x5 = 20

2

2

ultiplication “x”• Multiplication is just a

faster way to add.• Choose the proper way

to solve the equation:

•2 + 5 x 3

5 x 3 = 1515 + 2 = 17Answer: 17

ivision “÷”• Division is

splitting a larger number into smaller parts.

• Remember to check your division with multiplication.

12 4 + 2

12 4 = 3 3 + 2 = 5

Answer: 5

ddition “+”• It is tempting to

want to solve addition first in an equation.

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

(113 + 19) + 81 =?

113 + 19 = 132132 + 81 = 213

ubtraction ”-”• Subtraction is

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

• You can check your subtraction with addition.

74 – (12 - 4) 12 – 4 = 8

74 – 8 = 66

Answer: 66

Review rouping

symbols xponents ultiplication ivision ddition ubtraction

The Order of Operations is:

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

Practice6(4÷2)+3=?

6÷2+3

3+3

Answer:

Practice7+(6x52+3)=?

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

Answer:

Practice15÷(6x2-9)2=?

•45 ÷ (12-9)2

•45 ÷ (3)2

•45 ÷ 9Answer:

Practice-40-(32+5)÷7=?

Answer:

Practice(3x6+2)3÷5=?

Answer:

Tips to Remember:

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An easy way to remember PEMDAS is:

Evaluate the following:

1. 18 + 36 – 32 =

2. 289 – (3 x 5)2 =

3. 45 + 81(-5+4) ÷ (4 -7)2 =

4. 100- (36-6)

-12+ (-3) =

5. 8 + (-2 x -5) x 54 ÷ 5 =