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







                      Fast Check
                    Complete the following grid for building tables 11 to 20.

                       ×      1        2         3        4        5        6        7        8        9       10
                      11
                      12                                 48
                      13
                      14
                      15
                      16

                      17
                      18                                                           126
                      19
                      20



              Multiplication by 1-Digit nuMber (Without regrouping)

              Multiplication of a 2-digit number by a 1-digit number

              We have already learned how to multiply a 2-digit number by a 1-digit. Let us revise.

              Example: Multiply 12 by 3.

              Solution:  Step 1: Multiply the ones.  Step 2: Multiply the tens.
                      2 ones × 3 = 6 ones    1 ten × 3 = 3 tens
                                          t O                              t O

                                          1 2                              1 2             Knowledge Desk
                                       ×     3                          ×     3         When multiplying an even
                                                                                        number by 6, the product
                                              6                            3 6          ends in the same even digit.
                           Thus, 12 × 3 = 36                                            For example, 6 x 2 = 12,
                                                                                        6 x 4 = 24, 6 x 6 = 36, etc.


              Multiplication of a 3-digit number by a 1-digit number

              To prepare for the International Mathematics Olympiad (IMO), the teacher gave 3 booklets
              to each student.

              Ravi: There are 103 questions in each booklet.

              Rupa: How many questions are there in all the 3 booklets?
              Ravi: We need to multiply 103 by 3 to know the total number of

              questions in all.
              Rupa: Let us arrange the numbers in columns and multiply them step by step.




              Mathematics-3                                                                                          71
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