Page 35 - Start Up Mathematics_6
P. 35

Step 3:  Now move five units further to the right to reach at 8.



                            O
                            0    1   2    3   4    5    6   7    8   9    10

                                                                                                 15
                       Clearly, 3 + 5 = 8
                                                                                                 14
            Subtraction of Whole Numbers on a Number Line
                                                                                                 13
            Let’s subtract whole number 3 from 5.

            Step 1:  Draw a number line as shown below.                                          12

                                                                                                 11
                            0    1   2    3   4    5    6   7    8   9    10
            Step 2:  First move five units to the right from ‘0’ to reach at 5.                  10

                                                                                                  9


                            0    1   2    3   4    5    6   7    8   9    10                     8

            Step 3:  Now move three units to the left from 5 to reach at 2.                       7

                                                                                                  6

                            0    1   2    3   4    5    6   7    8   9    10                      5


                       Clearly, 5 – 3 = 2                                                        4

            Multiplication of Whole Numbers on a Number Line                                     3

            Let’s multiply whole numbers 2 and 4.                                                 2
            Step 1:  Draw a number line as shown below.
                                                                                                 1

                            0    1   2    3   4    5    6   7    8   9    10
                                                                                                  0
            Step 2:  First move two units to the right from ‘0’ to reach at 2.


                           O
                            0    1   2    3   4    5    6   7    8   9    10
            Step 3:  Now make three more such moves to reach at 8.

                           O
                            0    1   2    3   4    5    6   7    8   9    10

                       Clearly, 2 × 4 = 8

            Example 1:  How many whole numbers are there between 33 and 53?
            Solution:     Whole numbers between 33 and 53 are 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44,
                          45, 46, 47, 48, 49, 50, 51 and 52.

                          Therefore, there are 19 whole numbers between 33 and 53.


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