Page 12 - 新思维数学活动用书9 样章
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2                          Expressions and



                                              formulae










                         2.1  Substituting into expressions






                     When you substitute numbers into an expression or formula, you must use    Key word
                     the correct order of operations. Work out brackets and indices first, then

                     divisions and multiplications, and finally additions and subtractions.     counter-example


                     Exercise 2.1



                     Focus

                     1  Copy and complete the workings to find the value of each
                         expression when x = 10.                                            Tips

                          a  2x + 3      2 × x + 3 = 2 × 10 + 3                             a  Work out the
                                                   =     + 3 =                                  multiplication
                                                                                                before the
                                                                                                addition.
                          b   x  − 4     x ÷ 2 − 4 = 10 ÷ 2 − 4                             b  Work out the
                              2
                                                   =     − 4 =                                  division before
                                                                                                the subtraction.

                          c  4x 2        4 × x  = 4 × 10 2                                  c  Work out
                                              2
                                               = 4 ×     =                                      the indices
                                                                                                before the
                                                                                                multiplication.

                          d  3(x + 2)    3 × (x + 2) = 3 × (10 + 2)                         d  Work out
                                                    = 3 ×     =                                 the bracket

                                                                                                before the
                                                                                                multiplication.











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