Basic HTML Version

|  | Table of Contents |  | View Full Version

Page 79 - Touchpad Mathematics_Ver1.0_C4
P. 79

    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_04\Chap_04
                     \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                                                      Fun                  Fact
                                                                                                       21 st
                                                                                                      Century   #Subject Enrichment
                                                                                                      Skills
                       Division by 9

                       Case 1: When the dividend is a two-digit           Case 2: When the dividend is a three-digit
                       number                                             number
                       In  this  case,  the quotient  is the number       Quotient = The digit in the hundreds place
                       in the tens place of the dividend and the          of the dividend followed by the sum of the
                       remainder is the sum of the digits in the          digits in the hundreds and tens places.
                       dividend.                                          Remainder =  Sum of the digits in the

                                                                                         dividend
                                             T O
                                            a b                           Here, O–Ones Place; T–Tens Place; and
                                                                          H– Hundreds Place
                          Quotient = a, Remainder = a + b
                                                                          Also, remember if one number is followed

                       example 1. 16 ÷ 9 = ?                              by another number, it is written as
                       Solution.                                          ‘First Number / Second Number’.
                                    9 ) 16 (                                Quotient = a | a + b, where      H T O
                       Dividend = 16                                        a is in the tens place, a + b    a b c

                       Digit in the tens place = 1                          is in the ones place
                       Sum of the digits = 1 + 6 = 7                        Remainder = a + b + c
                       So, Quotient = 1, Remainder = 7.                   example 4. 241 ÷ 9 =?
                                                                          Solution.
                       example 2. 71 ÷ 9 =?                                           9 ) 241 (
                       Solution.

                                    9 ) 71 (                              Dividend = 241
                       Dividend = 71                                      Digit in the hundreds place = 2
                                                                          Sum of the digits in the hundreds and
                       Digit in the tens place = 7                        tens places = 2 + 4 = 6
                       Sum of the digits = 7 + 1 = 8                      Quotient = 26, Remainder = 2 + 4 + 1 = 7
                       So, Quotient = 7, Remainder = 8.
                                                                          example 5. 620 ÷ 9 = ?
                       example 3. 23 ÷ 9 = ?                              Solution.
                       Solution.                                                     9 ) 620 (
                                    9 ) 23 (                              Dividend = 620
                       Dividend = 23                                      Digit in the hundreds place = 6
                       Digit in the tens place = 2                        Sum of the digits in the hundreds and

                       Sum of its digits = 2 + 3 = 5                      tens places = 6 + 2 = 8
                       So, Quotient = 2, Remainder = 5.                   Quotient = 68, Remainder = 6 + 2 + 0 = 8

                                                                                                                  77
                                                                                                     Division

| 74 75 76 77 78 79 80 81 82 83 84 |