Page 97 - Math_Genius_V1.0_C4_Flipbook
P. 97

E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-05
              \\December 6, 2023 12:53 PM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





                       Practice time 5B


                1.  Find the first six multiples of:

                    (a)  5                  (b)  7                   (c)  11                 (d)  13

                2.  Write the first five even multiples of:
                    (a)  9                  (b)  13                  (c)  15                 (d)  25

                3.  Write the following.

                    (a)  The 5th multiple of 8                       (b)  The 8th multiple of 9

                    (c)  Multiples of 12 less than 144               (d)  Multiples of 3 between 20 and 50

                    (e)  Multiples of 9 between 50 and 100

                    (f)  The first multiple of 9 which is exactly divisible by 8.
                4.  Find  the first  four common multiples of the following  numbers.  then  circle

                    the smallest common multiple.

                    (a)  4 and 5      (b)  3 and 5      (c)  2 and 7        (d)  6 and 8       (e)  10 and 20


              test oF DivisiBility

              When we divide a number by another number and we get 0 as remainder, then the
              number is called divisible by another number.

              Let us divide both 85 and 88 by 5.                                                    17     5 88   17
              By dividing 85 by 5, we get remainder 0.                                       5 85             5
                                                                                               5
                                                                                                35
              So, 85 is divisible by 5.                                                        35             38
                                                                                                              35
              By dividing 88 by 5, we get remainder 3 instead of 0.                              0              3
              So, 88 is not divisible by 5.

              There are certain tests or rules using which, we can tell whether a number is divisible
              by another number or not without actually performing the division.
              divisibility by 2

              rule:   All even numbers are divisible by 2. This means that numbers ending in 0, 2,
                       4, 6 and 8 are divisible by 2.

                       examples:  10, 256, 3498 are divisibile by 2.
              divisibility by 3

              rule:   If the sum of all digits of a number is divisible by 3, then the number itself is
                       divisible by 3.

                       example:        In 24, 2 + 4 = 6 and 6 ÷ 3 = 2

                                       So, 24 is divisible by 3.

              Mathematics-4                                                                                          95
   92   93   94   95   96   97   98   99   100   101   102