Page 36 - Start Up Mathematics_5
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Example 19:  Find the following products.                                   Working

                            (a)  9,356 × 1,000                           (b)   1    1       (c)    2  3 5 1 4
                            (b)  17,215 × 2,000                               1 7 2 1 5            2 4 5 9 1 7
                            (c)  2,45,917 × 6,000                            ×        2            ×         6

                            (d)  34,228 × 9,000                               3 4 4 3 0          1 4 7 5 5 0 2

            Solution:       (a)  9,356 × 1 000 = 93,56,000               (d)    3  2 2 7
                                                                                3 4 2 2 8
                            (b)  17,215 × 2 000 = 3,44,30,000                ×          9

                            (c)  2,45,917 × 6 000 = 1,47,55,02,000            3 0 8 0 5 2

                            (d)  34,228 × 9 000 = 30,80,52,000


                                  Mental Maths


                                 Find the product.
                                 (a) 9,64,999 × 100  (b) 31,241 × 5,000  (c) 22,211 × 7,000




            Division

            You have already learnt to divide 3-digit and 4-digit numbers by 1-digit and 2-digit numbers.
            Now we will learn to divide 5-digit, 6-digit and 7-digit numbers by 2-digit, 3-digit and 4-digit
            numbers.
            Before we begin, let’s revise the properties of division.


            Properties of division

              1.  Any number divided by itself gives 1.

                   For example, 7,624 ÷ 7,624 = 1; 4,30,179 ÷ 4,30,179 = 1
              2.  Any number divided by 1 gives the number itself.

                   For example, 8,275 ÷ 1 = 8,275; 6,34,11,832 ÷ 1 = 6,34,11,832

              3.  Zero divided by any number, results in zero.
                   For example, 0 ÷ 2,435 = 0; 0 ÷ 17,436 = 0

              4.  A number cannot be divided by 0.

                   For example, 3,795 ÷ 0 is not defined.
                                 Mental Maths

                                 (a)  8,247 ÷ 1 = _____        (b)  6,31,452 ÷ 0 = _____

                                 (c)  91,268 ÷ 91,268 = _____   (d)  0 ÷ 3,71,462 = _____
                                 (e)  7,14,365 ÷ 1 = _____




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