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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_04
                 \ 12-Sep-2024               Surender Prajapati   Proof-5                     Reader’s Sign _______________________ Date __________

                          Encapsulate
                      math
                                                              MuLtiPLicAtiOn

                           Multiplication by a 1-digit Number                             Multiplication by a 2-digit Number

                   Without regrouping       With regrouping                            With 2-digit number:
                   With 2-digit number:     With 2-digit number:                       Example: 42 × 15 = 630
                   Example: 32 × 3 = 96     Example: 28 × 3 = 84                       With 3-digit number:
                   With 3-digit number:     With 3-digit number:                       Example: 234 × 23 = 5382
                   Example: 432 × 2 = 864   Example: 245 × 4 = 980
                                                                                              exploring Multiplication

                                                                                       By expanding the bigger number
                              Properties of multiplication                             Example: 67 × 5.
                                                                                               67 = 60 + 7
                   Order Property:                                                             60 × 5 = 300 and 7 × 5 = 35
                   Example: 8 × 4 = 32 = 4 × 8                                                 300 + 35 = 335
                   Multiplication by 1:                                                Thus, 67 × 5 = 335
                   Example: 53 × 1 = 53
                   Multiplication by 0:                                                      Multiplying by 10 and 100
                   Example: 17 × 0 = 0
                                                                                       Multiplying by 10:
                                                                                       Example: 3 × 10 = 30
                                Estimating the product                                 Multiplying by tens other than 10
                                                                                       Example: 2 × 20 = 40
                    Estimated product of 73 × 26.                                      Multiplying by 100
                    73 rounds off to 70                                                Example: 6 × 100 = 600
                    26 rounds off to 30                                                Multiplying by hundreds other than 100
                    Thus, the estimated product of 73 × 26 = 2100.                     Example: 12 × 300 = 3600

                         Mental Maths

                     Fill in the blanks to make the multiplication facts true.

                     1.                                                  2.
                             3      ×           =      9                          8     ×            =     72

                             ×            ×            ×                          ×                         ×

                                         15                                             =            ×      5

                             =            =            =                          =                         =

                            300          45     ×     90     =                   80

                  Mathematics-3                                                                                          81

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