Write down the decimal expansions of : 15/1600

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Theresa Sims · Accepted Answer

We have:       15    1600    =      15          64      ×      25        =      15                  2                  6                    ×              5                  2                                        2                    64                            2                    32                            2                    16                            2                    8                            2                    4                            2                    2                                  1            To get the denominator as multiple of 10&#039;s, multiply numerator and denominator by       5          4        =            15      ×              5                  4                                    2                  6                    ×              5                  2                    ×              5                  4                      =            15      ×              5                  4                                    2                  6                    ∗              5                  6                      =            15      ×              5                  4                            10              6               [Since,       a          m        ×      b          m        =  (  a  b      )          m      ]  =      9375          10              6              =      0009375    1000000  Since we have six zeroes in the denominator, we need to put the decimal point after six digits from the unit place.Hence, the decimal expansion of the given number is 0.009375

Write down the decimal expansions of : 15/1600

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