Page 34 - Start Up Mathematics_5
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Step 2: Multiply 1,56,45,680 by 306.

                            Carry over of   →     1   1  1  1   2  2            Carry over of

                            (1,56,45,680 × 300)    3   3  2  3   4  4    →  (16,45,680 × 6)

                                                   1 5 6 4 5 6 8 0
                                                   ×                3 0 6

                                                       1

                                                1 9 3 8 7 4 0 8 0 → (1,56,45,680 × 6)

                                        + 4 6 9 3 7 0 4 0 0 0 → (1,56,45,680 × 300)

                                            4 7 8 7 5 7 8 0 8 0


                    Quick Tip                                       Mental Maths
                    Note that while multiplying                    Choose 2 numbers from the box
                    by 306, we have not shown                      whose product is 108 and write in
                    the multiplication by 0 as                     the empty boxes.     ×     = 108
                    it is not required.
                                                                      12      6      8
                                                                      14      7     18





                                                      EXERCISE 2.4


              1.  Multiply using multiplication tables and verify your result by actual multiplication.

                  (a)  64 × 13           (b)  81 × 15              (c)  321 × 16          (d)  259 × 17
                  (e)  1,307 × 18        (f)  2,045 × 19          (g)  49 × 18            (h)  172 × 17
                   (i)  650 × 15          (j)  86 × 19             (k)  234 × 14           (l)  8,215 × 16

              2.  Find the following products.
                  (a)  16,305 × 248      (b)  3,09,154 × 627       (c)  5,23,614 × 908    (d)  4,855 × 3,126

                  (e)  21,739 × 4,085  (f)  9,541 × 382 × 75  (g)  9,132 × 87             (h)  34,862 × 195
                   (i)  28,065 × 204      (j)  5,416 × 98          (k)  79,843 × 621       (l)  90,276 × 85


            Multiplication by 10 and its multiples                                    Mental Maths

            •  To multiply a number by 10, write the number followed by              Find the product.
              a zero.                                                                 (a)  9,82,674 × 10
            •  To multiply a number by a multiple of 10, write zero in the             (b)  11,311 × 50
              ones place and then multiply the number by the remaining                (c)  8,00,512 × 20
              digit(s) and write their product before zero.                          (d)  11,11,11,111 × 90





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