Page 107 - Math Smart - 7
P. 107

Decimals
                                                    Place-value table









                                   1      2     9      4      •      7      6     5


                                                Multiplying by 10, 100 or 1000
                                                                       '1'"                                ; •  !-• L'Lk
             X 10  0   •    2    3        X 100      0   •    2    3 --6    X 1000           0    •    2      ^6
                   2   •    3    6*             2    3   •                          2    3   6m
              When you multiply by 10,      When you multiply by 100, each        When you multiply by 1000, each
              each digit moves one place   digit moves two places to the left.   digit moves three places to the left.
              to the left. This makes the   This makes the number greater.        This makes the number greater.
                   number greater.
                                                  Dividing by 10, 100 or 1000


             ^10   1   8      2   •                 1   8-^3   2   •           ■rIOOO  1  8_ ^3   2   •
                       1  8 ^3    •   2         o o         1  *^8  •  3  2                       1   •  '8  3   2
            When you divide by  10,  each digit  When you divide by 100,  each digit  When you divide by 1000,  each digit
            moves one place to the right. This   moves two places to the right. This  moves three places to the right. This
               makes the number smaller.        makes the number smaller.            makes the number smaller.

                                                   Ordering decimals

                        Ascending order                                        Descending order
                        The decimals arranged        6     •     4     5       The decimals arranged in
                        in ascending order from      5     •     5     2       descending order from greatest
                        smallest to greatest is:     6     •     4     8       to smallest is:
                        5.52   6.45   6.48                                     6.48   6.45   5.52



                                                                 Estimating and
             Rounding decimals                                  approximating


                 round down                      round up                       ak&calcuiations


                                                                              obtain an answer that makes sense
                                                                              in the word problem and Is close
                                                                              enough to the actual answer
            19   19.1   19.2   19.3   19.4   19.5   19.6   19.7   19.8   19.9   20
                                                                              check whether your answer is
                                                                              reasonable
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