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OBJECTIVES

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

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OBJECTIVES

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

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

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

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

  9. 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 xponents “22” 2 2

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

  11. 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 ivision “÷”

  12. 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 = 132 132 + 81 = 213 ddition “+”

  13. 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 ubtraction ”-”

  14. 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. 7+(6x52+3)=? 7+(6x25+3) 7+(150+3) 7+(153) Answer: Practice

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

  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: rannyxcuse y ear unt ally G

  21. Evaluate the following: • 18 + 36 – 32 = • 289 – (3 x 5)2 = • 45 + 81(-5+4) ÷ (4 -7)2 = 4. 100- (36-6) -12+ (-3) = 5. 8 + (-2 x -5) x 54 ÷ 5 =

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