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6





                                           Understanding Decimals



            We know that a fraction is a part of a whole number. When we divide one whole into ten
            parts, each part is   1   or one-tenth. Thus, 1 one = 10 tenths.
                                 10






                                                           1    = 0.1
                                                           10
                            1
            We can write         as 0.1 in which the point is called the  decimal point. We read it as zero
                            10
            point one.

                       4          7
            Similarly,    = 0.4,     = 0.7, and so on.
                      10         10
            A decimal number can be written with a whole
            number to show a complete whole and a fractional

            part. For example, to express 4 complete wholes                               5
                  5                                                                 4 and    = 4.5
            and      fractional part, we write 4.5 which is read                          10
                 10
            as four point five.
                                 1                                                           1     1      1
            If we divide each       further into 10 equal parts, each part would be             ×     =       or
                                 10                                                         10    10     100
            one-hundredth. Thus, 1 tenth = 10 hundredths.







                                                     1    of   1    =   1    = 0.01
                                                    10    10   100
                             1
            We can write        as 0.01 in decimal form. We read it as zero point zero one.
                           100
                       25            9
            Similarly,      = 0.25,      = 0.09, and so on.
                      100           100
                    1                                                                 1        1         1
            Each        further divided into 10 more equal parts will  be                 ×        =          or
                   100                                                                10      100      1000
            one-thousandth. Thus, 1 hundredth = 10 thousandths.







                                                    1    of   1    =   1    = 0.001
                                                   10    100  1000



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