Page 70 - ICSE Math 4
P. 70

Concept of Remainder

                    Remainder is the number which is le   when the divisor does not divide the dividend

                    completely.

                    Example 5:  Divide 15 by 2.
                                                                                                  Top Tip
                                                                                             Remainder should
                    Solu  on:                      7  Quotient
                                                                                           always be less than the
                                  Divisor 2    15  Dividend                                    divisor.
                                                – 14
                                                     1  Remainder


                                  So, on dividing 15 by 2, we obtain 1 as the remainder.


                    Checking Division                                                      Mental Maths
                                                                                 Divide mentally and fill in the blanks.
                    We can check division by using the following
                                                                                 (a) 22 11_______
                    formula.
                                                                                 (b) 36 9_______
                                                                                 (c) 222  2 _______
                      Dividend = (Divisor × Quo  ent) + Remainder
                                                                                 (d) 100  10 _______

                    Example 6:  Divide 93 by 2 and check your answer.



                    Solu  on:           46
                                   2   93           Check: 93 ÷ 2 = 46, remainder = 1
                                     – 8
                                                    (Divisor × Quo  ent) + Remainder
                                       13
                                                    = (2 × 46) + 1 = 92 + 1 = 93
                                     – 12
                                       01           = Dividend


                                  So, the division is correct.





                              Exercise 6.5



                      1.  Divide using long division method.

                           (a)  36 ÷ 9                      (b)  64 ÷ 8                     (c)  60 ÷ 6

                           (d)  24 ÷ 4                      (e)  35 ÷ 7                      (f)  40 ÷ 5

                           (g)  18 ÷ 2                      (h)  48 ÷ 6                      (i)  27 ÷ 3

                            (j)  63 ÷ 7                     (k)  81 ÷ 9                      (l)  56 ÷ 8

                 60
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