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Order of Operations

 There are 3 families




 Lonely, Easy & Totally Easy Families
Order of Operations

L    Lonely Family   (     )



E    Easy Family     X÷



T    Totally Easy Family   +-
Order of Operations

 Lonely Family is top of the family


 Easy Family is second in the family


 Totally Easy family is last in the family
Order of Operations
 The calculation for order of operations
  is as follows:

  •    Lonely family, (   ) , must be done
      first.

  •    Easy Family, X ÷ , must be done
      second.

  • Totally Easy family, + - , must be
    done last.
Order of Operations
   If the operations are from the same
    family, then you work from left to right.

Example : Evaluate 4 + 3             - 5

4 + 3      - 5   (All operations belong to   L ( )
                 totally easy family )
                                             E X÷
 =7–5            (Work from left to right)
                                             T +-
 =2
Order of Operations

Example : Evaluate 4 X 3 ÷ 6

4 X 3      ÷ 6   (All operations belong to
                 easy family )
= 12 ÷ 6         (Work from left to right)   L ( )
=2                                           E X÷

                                             T +-
Order of Operations
 Example : Evaluate 5 + 7 X 2
             (Operations belong to easy
 5 + 7 X 2   family and totally easy family )
             (Cancel out Lonely
             family)
                                                L ( )
             (Work out the easy family
= 5 +   14   first)                             E X÷
             (Then, cancel out easy
             family)                            T +-
= 19         (Then, work out totally easy
             family from left to right)
Order of Operations
  Example : Evaluate 10 - 2 X 20 ÷ 8

10 - 2 X 20 ÷ 8   (Operations belong to easy
                  family and totally easy family )
                  (Cancel out Lonely
                  family)
                                                 L ( )
                  (Work out the easy family
= 10 -   5        first from left to right)      E X÷
                  (Then, cancel out easy
                  family)                        T +-
                  (Then, work out totally easy
=5                family from left to right)
Order of Operations
  Example : Evaluate 3 X (5 + 1) ÷ 9

3 X (5 + 1) ÷ 9   (Operations belong to Lonely
                  family Easy family)
                  (Work out Lonely family
                  first)
                                                L ( )
=3 X   6   ÷9     (Then, cancel out Lonely
                  family & Totally easy         E X÷
                  family)

                  (Then, work out easy family
                                                T +-
=2
                  from left to right)
Order of Operations
Tips
 Always write out L ,E , T as your
  working


 Follow the order of the families ( 1: L,
  2: E, 3: T) to evaluate the question.

 Work from left to right if the operations
  are from the same family.

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Order of Operations Guide

  • 1. Order of Operations  There are 3 families  Lonely, Easy & Totally Easy Families
  • 2. Order of Operations L  Lonely Family ( ) E  Easy Family X÷ T  Totally Easy Family +-
  • 3. Order of Operations  Lonely Family is top of the family  Easy Family is second in the family  Totally Easy family is last in the family
  • 4. Order of Operations  The calculation for order of operations is as follows: • Lonely family, ( ) , must be done first. • Easy Family, X ÷ , must be done second. • Totally Easy family, + - , must be done last.
  • 5. Order of Operations  If the operations are from the same family, then you work from left to right. Example : Evaluate 4 + 3 - 5 4 + 3 - 5 (All operations belong to L ( ) totally easy family ) E X÷ =7–5 (Work from left to right) T +- =2
  • 6. Order of Operations Example : Evaluate 4 X 3 ÷ 6 4 X 3 ÷ 6 (All operations belong to easy family ) = 12 ÷ 6 (Work from left to right) L ( ) =2 E X÷ T +-
  • 7. Order of Operations Example : Evaluate 5 + 7 X 2 (Operations belong to easy 5 + 7 X 2 family and totally easy family ) (Cancel out Lonely family) L ( ) (Work out the easy family = 5 + 14 first) E X÷ (Then, cancel out easy family) T +- = 19 (Then, work out totally easy family from left to right)
  • 8. Order of Operations Example : Evaluate 10 - 2 X 20 ÷ 8 10 - 2 X 20 ÷ 8 (Operations belong to easy family and totally easy family ) (Cancel out Lonely family) L ( ) (Work out the easy family = 10 - 5 first from left to right) E X÷ (Then, cancel out easy family) T +- (Then, work out totally easy =5 family from left to right)
  • 9. Order of Operations Example : Evaluate 3 X (5 + 1) ÷ 9 3 X (5 + 1) ÷ 9 (Operations belong to Lonely family Easy family) (Work out Lonely family first) L ( ) =3 X 6 ÷9 (Then, cancel out Lonely family & Totally easy E X÷ family) (Then, work out easy family T +- =2 from left to right)
  • 10. Order of Operations Tips  Always write out L ,E , T as your working  Follow the order of the families ( 1: L, 2: E, 3: T) to evaluate the question.  Work from left to right if the operations are from the same family.