ORDER OF OPERATIONS 3-Order of Operations.pdf · rule BODMAS: Brackets, Orders, Division,...
Transcript of ORDER OF OPERATIONS 3-Order of Operations.pdf · rule BODMAS: Brackets, Orders, Division,...
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ORDER OF OPERATIONS
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INTRODUCTION
• Hello little friends,
• Welcome to our Mathematics programme for Grade 7.
• Today we will talk of the ORDER OF OPERATIONS, that is,
• How & Why order is important in the 4 main operations:
• Addition, Subtraction, Multiplication & Division.
• We will discover together what happens if the correct order is NOT applied.
• BODMAS will be introduced and its applications to some examples.
• Let’s start with the 4 basic operations in Mathematics.
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THE FOUR BASIC OPERATIONS ARE:
Addition
Subtraction
Multiplication
Division
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WHY IS IT IMPORTANT?
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CALCULATE + ×
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VIK + ×
= ×
=
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MEG + × = + =
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WHO IS RIGHT?
VIK OR MEG?
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BODMAS
Brackets(Calculation inside Brackets comes first)
Orders (Numbers involving powers, squares or
square roots)
Division
Multiplication
Addition
Subtraction
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LET’S TRY IT NOW!
+ ×
Multiplication first = +
Then Addition =
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USE OF CALCULATORS AND EXCEL
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EXAMPLE + − ×
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APPLYING BODMAS + − ×
Brackets first = + ×
Next is Multiplication = +
Finally Addition =
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EXAMPLE + 2 × – ÷
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APPLYING BODMAS + 2 × – ÷
Orders first = + × – ÷
Both multiplication and division, proceed from left to right Next is Multiplication = + × – ÷
Then Division = + – ÷
= + –
For both addition and subtraction, Proceed from left to right = –=
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HARDER EXAMPLE − × ÷ − +
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APPLYING BODMAS
Brackets First − × ÷ − +
Next we do the division = − × ÷ − +
= − ÷ +
Finally we add = − +
=
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ADDITIONAL EXERCISES FOR PRACTICE
a. 4 + 5 x (2+4) ÷ 3 -7
b. 44 ÷ 11 + (15 - 9) x 12
c. ÷ +
d. (15 – 2) + 7 x (21 ÷ 3)
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ADDITIONAL EXERCISES FOR PRACTICE
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OBSERVATIONS
Addition and Multiplication are commutative,
that is, changing the ORDER will not change the result
+ = + =
× = × =
However Subtraction and Division are NOT commutative!
Changing the ORDER will change the result − ≠ −
÷ ≠ ÷
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Conclusion
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• We have talked of:
•Order of Operations, to be worked out following the rule BODMAS:
• Brackets, Orders, Division, Multiplication, Addition & Multiplication and discussed a few examples.
•We’ve shown you how Addition & Subtraction are Commutative whereas Multiplication & Division is NOT commutative.
• The correct Order of operations is important for obtaining the exact answer. You are now advised to work out the Exercises for Practice.
•Good bye little friends.
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LINKS FOR ADDITIONAL PRACTICE
•
• Additional Practice for Order of Operations
• http://www.softschools.com/math/order_of_operations/order_of_operations_worksheets/3-step_order_of_operations_worksheet2.html
•
• Finding the missing operation
• http://www.softschools.com/math/order_of_operations/order_of_operations_worksheets/order_of_operations_missing_operation_worksheet2.html
•
• Order of Operations – Game
• http://www.math-play.com/Order-of-Operations-Millionaire/order-of-operations-millionaire-game.html
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ENJOY THE BEAUTY OF MATHEMATICS!