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

2. 24- GAME
3, 8, 10, 4
1,1,5,6
2,2,6,11
1,2,2,4
2,3,4,8

3. VOCABULARY
order of operations *operation
Expression
grouping symbols
Brackets *Braces *parenthesis
Exponents *simplify

4. Order of Operations
(G.E.M.D.A.S)

5. G.E.M.D.A.S. G “ ”= Grouping Symbols ( ), [ ] “ ”= Exponent “22”
“ ”= Multiplication “6x8”
“ ”= Division “9÷3”
“ ”= Addition “7+5”
“ ”= Subtraction “10-4”

6. 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.

7. 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.

8. GROUPING SYMBOLS “( )” , ”[ ] or { }”
Used to group equations.
Parenthesis ( ) Brackets [ ] or
Braces{ }
6[100 - (5+3)]
6[100 - (8)]
6 [92]
Answer:
552

9. Choose the proper way to solve the equation:
xponents “22” 2
5 x 2
Choose the proper way to solve the equation:
2 = 4
4x5 = 20
Used to multiply the same number repeatedly.
Exponent tells how many times a base number is multiplied to itself.
53 = 5x5x5 =125 2

10. ultiplication “x” 2 + 5 x 3 5 x 3 = 15 15 + 2 = 17 Answer: 17
Multiplication is just a faster way to add.
Choose the proper way to solve the equation:
2 + 5 x 3
5 x 3 = 15
= 17
Answer: 17

11. ivision “÷”
= 3
3 + 2 = 5
Answer: 5
Division is splitting a larger number into smaller parts.
Remember to check your division with multiplication.

12. ddition “+”
( ) + 81 =?
= 132
= 213
It is tempting to want to solve addition first in an equation.
Remember: only solve addition first if it is in parenthesis.

13. ubtraction ”-” 74 – (12 - 4) 12 – 4 = 8 74 – 8 = 66 Answer: 66
Subtraction is when you take away an equal or smaller amount from a number.
You can check your subtraction with addition.

14. The Order of Operations is:
Review G
The Order of Operations is:
G.E.M.D.A.S.
rouping symbols
xponents
ultiplication
ivision
ddition
ubtraction

15. Practice
6(4÷2)+3=?
6÷2+3
3+3
Answer:

16. Practice
7+(6x52+3)=?
7+(6x25+3)
7+(150+3)
7+(153)
Answer:

17. Practice
15÷(6x2-9)2=?
45 ÷ (12-9)2
45 ÷ (3)2
45 ÷ 9
Answer:

18. Practice
-40-(32+5)÷7=?
Answer:

19. Practice
(3x6+2)3÷5=?
Answer:

20. Tips to Remember: An easy way to remember PEMDAS is: G ranny xcuse
ear unt
ally G

21. Evaluate the following:
– 32 =
289 – (3 x 5)2 =
(-5+4) ÷ (4 -7)2 =
(36-6)
-12+ (-3) =
(-2 x -5) x 54 ÷ 5 =