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               \ 30-Sep-2025  Bharat Arora   Proof-9                                        Reader’s Sign _______________________ Date __________






                       Practice Time 3A

                1.  Multiply the following.

                    (a)      tth th H t O           (b)       tth th H t O            (c)      tth th H t O

                                    3    7 2 4                       6   7 8 2                       7    2 8 9
                          ×                     3         ×                      7         ×                      9


                2.  Find the product of the following.

                    (a)  1234 × 4           (b)  6169 × 3            (c)  2341 × 4           (d)  7641 × 7
                    (e)  9811 × 9            (f)  8765 × 5           (g)  9874 × 8           (h)  6874 × 6


              Multiplication by a 2-Digit nuMber

              Let us first revise the multiplication of  a 3-digit  number  by a 2-digit  number, then
              extend the learning to find the multiplication of a 4-digit number by a 2-digit number.

              Example 1: Multiply 462 by 26.                                    tth th H t O

              Solution:  Step 1:   Write the multiplicand 462                              4 6 2          Multiplicand
                                       and multiplier 26 in proper           ×                 2 6        Multiplier
                                       place value columns.                            2   7 7 2          462 × 6 ones

                            Step 2:  Multiply 462 by 6 ones.                 +         9   2 4 0          462 × 2 tens
                                       462 × 6 ones = 2772 ones                   1    2   0 1 2          Product
                            Step 3:  Multiply 462 by 2 tens.
                                       462 × 2 tens = 9240 ones                 Challenge Question

                            Step 4:  Add both partial products.             Without performing the multiplication,
                                       2772 + 9240 = 12012                  determine if the product of 7289 × 9

                                       Thus, 462 × 26 = 12,012.             ends in an odd or even number.


                                                           Math Insight
                 Š   The number that is multiplied is called the multiplicand.                  12   ×   6   =   72
                 Š   The number by which we multiply is called the multiplier.
                    Š  Multiplicand and multiplier are commonly called factors of the product.  Multiplicand  Product
                 Š   The result of the multiplication is called the product.                          Multiplier

              Multiplication of a 4-digit Number by a 2-digit Number

              Example 2: Multiply 3231 by 12.

              Solution:      Step 1: Write the multiplicand 3231                                 tth th H t O
                                       and the multiplier 12 in the                                    3   2   3    1
                                       proper place value columns.                           ×                 1    2





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