objectives the students will perform the order of operations on integers by following gemdas rule
TRANSCRIPT
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 =