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               \ 01-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________







                      Mind Map
                  math                                                                                      Creative Thinking
                                                          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 product                                    Multiplying by tens other than 10
                                                                                   Example: 2 × 20 = 40
                Estimated product of 73 × 26.                                      Multiplying by 100
                73 rounded off to the nearest 10 is 70.                            Example: 6 × 100 = 600
                26 rounded off to the nearest 10 is 30.                            Multiplying by hundreds other than 100
                Thus, the estimated product of 73 × 26 = 2100.                     Example: 12 × 300 = 3600






                                                                                                             Critical Thinking
                     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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