Page 57 - ICSE Math 4
P. 57

Solu  on:     (a)  76 × 37

                                       Step 1:  Mul  ply the mul  plicand  by                          H T  O
                                                the digit in the ones place of
                                                                                                           7    6
                                                the mul  plier.
                                                                                                       × 3  7
                                                76 × 7 ones = 76 × 7 = 532
                                                                                                       5 3  2


                                       Step 2:  Mul  ply the mul  plicand by                           H    T  O

                                                the digit in the tens place of                              7    6
                                                the mul  plier.
                                                                                                       ×    3    7
                                                76 × 3 tens = 76 × 30 = 2,280
                                                                                                       5 3 2

                                                                                                   2  2 8 0


                                       Step 3:   Add the products                    H T  O
                                                                                      2    1 (carry over of 76 × 30)
                                                obtained in step 1
                                                                                           4 (carry over of 76 × 7)
                                                and step 2.                               7    6
                                                532 + 2,280 = 2,812                  ×    3    7

                                       So, 76 × 37 = 2,812.                           1
                                                                                     5 3 2 (76 × 7)

                                                                             +  2 2 8 0 (76 × 30)

                                                                                 2 8 1 2



                                  (b)  475 × 234
                                                     H T  O
                                                     1    1 (carry over of 475 × 200)
                                                     2    1 (carry over of 475 × 30)
                                                     3    2 (carry over of 475 × 4)
                                                     4    7    5
                                                                                            Mental Maths
                                                × 2 3 4
                                                                                    Match the products.
                                            1    1
                                                1 9 0 0 (475 × 4)                 (a)  7,300        (i)  28 × 100
                                                                                    (b)  460          (ii)  105 × 0
                                           1 4 2 5 0 (475 × 30)
                                                                                    (c)  1,290        (iii)  73 × 100
                                       +  9 5 0 0 0 (475 × 200)                   (d)  2,380        (iv)  15 × 5,000

                                       1  1 1 1 5 0 Product                       (e)  14 × 2 × 100   (v)  23 × 20
                                                                                    (f)  0 × 105      (vi)  1290 × 1
                                       So, 475 × 234 = 1,11,150.
                                                                                    (g)  75,000       (vii)  238 × 10



                                                                                                                         47
   52   53   54   55   56   57   58   59   60   61   62