Page 106 - Maths Class 05
P. 106

8 tenths × 10 = 8 ones (0.8 × 10 = 8)                  4 ones 9 tenths × 10
                                                                       = 4 tens 9 ones (4.9 × 10 = 49)


             Multiplying a decimal by 10 moves the decimal point 1 place to the right.




                                  832                                                               8
            3. 8.32 × 100 =             × 100 = 832                             4. 0.8 × 100 =          × 100
                                  100                                                              10

                                                                                   = 8 × 10 = 80
            Hundreds Tens Ones Tenths               Hundredths
                                     8       3             2          ×100            Tens Ones Tenths

                  8          3       2                                                                  8       ×100
                                                                                        8
              8 ones 3 tenths 2 hundredths × 100
                                                                                     8 tenths × 100 = 8 tens
              = 8 hundreds 3 tens 2 ones


              Multiplying a decimal by 100 moves the decimal point 2 places to the right.


                                       5
            5. 0.005 × 1000 =               × 1000 = 5
                                     1000

                 Ones Tenths       Hundredths Thousandths

                                                            5             ×1000
                   5


                5 thousandths × 1000 = 5 ones

            6. 6.938 × 1000 = 6938


               Thousands         Hundreds        Tens    Ones Tenths       Hundredths Thousandths
                                                           6        9             3                 8           ×1000

                     6                 9           3       8


                6 ones 9 tenths 3 hundredths 8 thousandths × 1000 = 6 thousands 9 hundreds
                3 tens 8 ones


              Multiplying a decimal by 1000 moves the decimal point 3 places to the right.


            Properties of Multiplication of Decimal Numbers


            We  have  already  studied  the  properties  of  multiplication.  All  properties  of
            multiplication hold true for decimals.




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