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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_05
                 \ 12-Sep-2024                      Surender Prajapati   Proof-5              Reader’s Sign _______________________ Date __________

                          Encapsulate
                      math

                                                                 diviSiOn

                           division as equal distribution                                   division as repeated Subtraction

                    example:                                                                20 – 4 – 4 – 4 – 4 – 4 = 0
                      12          ÷       4       =             3                              1     2      3     4      5
                                           Number of gulab                                      20 ÷ 4 = 5
                    Number of   Number of    jamuns each
                   gulab jamuns  brothers    brother gets                          Multiplication fact  division fact
                                                                                                          8 ÷ 2 = 4
                                                                                      4 × 2 = 8
                                                                                                          8 ÷ 4 = 2
                              division By 1-digit number                                       Long division

                     Without regrouping       With regrouping                                         With remainder
                   example:  2 68  34 Q    example: 6 289  48  Q             Without remainder           Quotient  example:
                                                                                    Quotient
                             – 6                    – 24                      Divisor Dividend    Divisor Dividend  4 29  7
                                                      49
                               08                   – 48                                                            28
                             – 8                       1   R                     example:                Remainder –
                                0     R                                                                              1
                                                                                 9 45  5        Checking:
                                                                                  – 45          Quotient × Divisor + Remainder
                                                                                     0                                   = Dividend

                             Properties of division                                     division by 10 and 100

                     division by 1                                              division by 10   division by 100
                     example: 16 ÷ 1 = 16                                                        example: 100 7856  78  Q
                     division by number itself                            example: 10 87  8  Q              –  700
                     example: 8 ÷ 8 = 1                                             – 80                      856
                     division of 0 by any number.                                      7     R                800
                     example: 0 ÷ 9 = 0                                                                     –
                                                                                                               56      R

                          Brain Sizzlers

                     Help Joe to solve the following puzzle.

                               4    × 10          ÷ 4         × 3   30   ÷ 2        ×          60   × 8

                                                                               × 0        ÷ 10       × 5          ÷ 12

                 100                                                                                    Mathematics-3

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