Page 12 - Math Course 1 (Book 1)
P. 12

Order of Operations






          Write a numerical expression for the verbal       SHOPPING
          phrase the difference of seventeen and six.
                                                            The Good Price Grocery Store advertises a special
          A. 17 + 6             B. 17 – 6                   on 2-liter bottles of soft drinks. The f rst bottle
          C. 17 × 6             D. 17 ÷ 6                   purchased is $1.50 and each bottle after that is
                                                            $1.20. Write and evaluate an expression for the
                                                            total cost when 8 bottles are purchased.
           Answer
                                                            A. 1.50 + 8(1.20) = 11.10
                                                            B. 1.50 + 7(1.20) = 9.90
                                                            C. 2 + 1.50 + 1.20 + 8 = 12.70
                                                            D. 1.20 + 7(1.50) = 11.70




                                                             Answer






         MO. 1 - L1b
                Order of Operations:                       Order of operations

                 Evaluate Expressions                      B E M-D A-S

                                                           Brackets                     (    )
                    Vocabulary A-Z                         Exponents                    3²
                                                                                        x  /
                                                           Multiply and Divide
                    Let us learn some vocabulary           Add and Subtract             +  -

                                                           Work from LEFT to RIGHT


        Evaluate                                           Multiply and Divide are done at the same time
                                                           LEFT to RIGHT.
        f nd the value of a    1 + 2 the value is 3
        numerical expression.
                                                           Add and Subtract are done at the same time LEFT
                               (5 - 2) x 7 the value is 21  to RIGHT

                               3 x 3 + 2 the value is 11
                                                                    Order of operations
        Remember:                                          Expression    Evaluation           Operation
        A value is how much a thing is worth
                                                           6 + 7 x 8     = 6 + 7 x 8           Multiplication
                                                                         = 6 + 56              Add
                                                                         = 62

                                                           16 ÷ 8 - 2    = 16 ÷ 8 - 2          Division
                                                                         = 2 - 2               Subtraction
        Order of Operations                                              = 0
         the order in which we evaluate a numerical
         expression can change the answer.                 (25 - 11) x 3   = (25 - 11) x 3         Parentheses
                                                                         = 14 x 3              Multiplication
         3 x 3 + 2                                                       = 42
         3 x 3 + 2 = 9 + 2 = 11

         3 x 3 + 2 = 3 x 5 = 15

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