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Intro to Order of Operations (O-O-O)

Learn about the Order of Operations and how to evaluate equations with mixed operations using PEMDAS rules. Practice solving various equations with brackets, addition, subtraction, multiplication, and division operations.

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Intro to Order of Operations (O-O-O)

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  1. Intro to Order of Operations(O-O-O) Math 7/8 COPY SLIDES WHEN YOU SEE THIS

  2. Evaluate the following: • 3 x 6 + 2 x 10 • What is your answer?

  3. Try Again! • Mr. and Mrs. Baker and their three children went to the movies. The cost for a child was $6.00 and the cost for an adult was $10.00. How much did the Baker family pay to go to the movies?

  4. Taking Another Look …at $10 each …at $6 each • 3 x 6 + 2 x 10 = $38 3 children… 2 adults… added to

  5. Order of Operations • When calculating equations with mixed operations(+, -, x, ) everyone must agree to follow the same rules; otherwise different people will get different answers. • Mathematicians have come up a set of rules. We call these rules, “Order of Operations”. • To help us remember the rules we use the word PEMDAS.

  6. BEDMAS~Order of Operation RulesRead Left to Right You complete all operations inside the brackets first. • P ~ Parenthesis • E ~ Exponents • M ~ Multiplication • D ~ Division • A ~ Addition • S ~ Subtraction You do ALL adding and subtracting in the order they appear. You do not do any + or – until you have completed all x and  You do ALL exponents in the order they appear. You do ALL x and  in the order they appear.

  7. Brackets • Brackets tell us that certain things belong together. What would you rather have?

  8. Brackets • Brackets also tell us to do what is inside first.

  9. What should be solved first? • 5 + 4 + 2 x 5 – 6 = • 5 + 4 + 2 x 5 – 6 = • 9  3 + 5 x 3 - 1 = • 9  3 + 5 x 3 - 1 = • 7 x 3 – (9 + 4) + 5 = • 7 x 3 – (9 + 4) + 5 =

  10. What should be solved first? • 6 – 4 + 6 + 16 = • 6 – 4 + 6 + 16 = • (6 – 4) + (7 x 6) + 10  5 = • (6 – 4) + (7 x 6) + 10  5 = • 40  4 - (3 + 5 x 2 - 7) = • 40  4 - (3 + 5 x 2 - 7) =

  11. What should be solved first? • 4 – 2 + 6 x 10  5 = • 4 – 2 + 6 x 10 5 = • 8  4 + (7 + 6) + 3 x 2 = • 8  4 + (7 + 6) + 3 x 2 = • (4  2 x 3 + 8) - 2 x 7 = • (4  2 x 3 + 8) - 2 x 7 =

  12. Evaluate the following: • (6 + 3) x 2 – 4 + 3 x 2 • (30 + 8) – 3 x (4 + 6) • (4 + 6 x 2 – 9) x 2 – 10 • 6 + 3 x 2  3 x 5 + 8  2 – 4 x 2 • 2 x (4 – 3 + 2) • (8 – 3) + 5 x 2

  13. Adding Brackets • 4 + 6 – 5 x 2 = 6 • 5 + 6 x 4 – 9 = 35 • 5 + 7 x 8 – 6 = 19 • 5 + 3 + 2 x 2 = 20

  14. Adding Brackets • 7 + 4 x 3 – 1 = 15 • 3 + 5 + 4 x 2 = 21 • 7 x 3 – 1 + 4 = 16 • 26 – 5 x 4  2 = 3 • 4 + 3 x 3 – 1 = 14

  15. Homework Questions • 2 x (3 x 7 ) – 5 • (15 – 5) + 5 x 3 • (6 x 23) – 10 • 5 + ( 6 + 33) • (10 + 9 – (4 x 7)  4)

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