Page 84 - classs 6 a_Neat
P. 84

1                           3
        8. Neeta bought curtain material for her house. She bought  7   m for the living room, 5     m for the study
                 1                                                   2                           4                                                              6                        Decimal
        and  10    m for the bedrooms. How much curtain cloth did she buy in all?
                 4

                                                                                                              1
        9. Mukul returns from school at 2 pm. He goes to bed at 10 pm. He has 8 hours to spend out of which  1                     DECIMAL FRACTIONS The fractions in which the denominators are 10, 100, 1000, etc., are known as deci-
                                              1                        1                                      2                    mal jractions.
          hours are spent playing outdoors,  3   hours studying and  1  2   hours on the computer. The remaining time
                                              4
        he spends with his parents. How much time does he spend with his parents?                                                                          3      5       48
                                                                                                                                   EXAMPLE·L.                 ,       ,       , are all decimal fractions .
                                                                                                                                                          10     100     1000
                          2                            1                          1
        10. Rohit spends   3   rd of his salary on rations,   5   th of it on transport and   th of it on rent. What part of his                        We know that:
        salary does he spend in all? What part of his salary is left as savings?  10                                                                      1   ,  2   ,......  9  represent one-tenth, two-tenths, three-tenths, . . . . . . ,
                                                                                                                                                          10    10         10
        11. Find the difference between the greatest and the smallest fractions from the following.                                                     nine-tenths respectively.
                  3     4    19     18
               3  5  ,2  7  ,  6  ,  8                                                                                                                  We write them as:
                                                                                                                                                          1        2        3               9
                        2      1     2                                                                                                                       = 1       = 2      = 3..........  = 9.
                                                                                                                                                                            10
                                                                                                                                                                   10
                                                                                                                                                         10
        12. Atul jogged  5  of  2  of  3  of 9   km. in the morning. How many metres did he jog?                                          Here the dot (.) is called the decimal point.    10
                   7                                                                                                                      We read them as:
        13. Shade       of the given figure.                                                                                              point one, point two, point three, ...... , point nine respectively. Note that.l = 0.1, .3 = 0.3, .9 = 0.9, ... .
                   16
                                                                                                                                   DECIMAL FRACTIONS WITH 100 AS DENOMINATOR (HUNDREDTHS) We know that:


                                                                                                                                                   1       2        3                9      10      11          99
                                                                                                                                                  100  ,  100  ,   100    ..........  100  ,  100  ,  100  .....  100   represent.

                                                                                                                                   one-hundredth, two-hundredths, three-hundredths, . . . . . . , nine-hundredths, ten-hundredths, eleven-hundredths,
                                                                                                                                   . . . . . . , ninety-nine-hundredths respectively.
                                                                                                                                          We write them as:
                                                                                                                                     1             2              3                  9            10            11                99
                                                                                                                                    100   = 0.1,  100   =,0.2,  100   = 0.3,..........  100  = .09,  100  = .10,  100  =.11....  100   =.99
                                                                                                                                          We read them as:
                                                                                                                                          point zero one, point zero two, point zero three, . . . . . . ,
                                                                                                                                          point zero nine, point one zero, point one . . . . . . ,
                                                                                                                                          point nine nine respectively. Note that .01 = 0.01, .99 = 0.99, ....


                                                                                                                                   DECIMAL FRACTIONS WITH 1000 AS DENOMINATOR (THOUSANDTHS)
                                                                                                                                          We know that:
                                                                                                                                     1        2          3                 9        10       11          99       100           999  represent.
                                                                                                                                   1000   ,  1000   ,  1000     ..........  1000  ,  1000  ,  1000  .....  1000  ,  1000  ,.......  1000

                                                                                                                                   one-thousandth, two-thousandths, . . . . . . , nine-thousandths, ten-thousandths, eleventhousandths,
                                                                                                                                   . . . . . . , ninety-nine-thousandths, one hundred-thousandths, one hundred one-thousandths, . . . . . . nine hundred
                                                                                                                                   ninety-nine-thousandths respectively.
                                                                                                                                          We write them as:   1                2              3                    9             10
                                                                                                                                                             1000   = .001,  1000   =.002,   1000  = 0.3,..........  1000  = .009,  100  = .010,
                                                                                                                                                              11              99             100                 999

                                                                                                                                                             1000   = .011,  1000   =.099,   1000  = .101,........  1000  = .999.
   79   80   81   82   83   84   85   86   87   88   89