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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 __________

                  3.  Find the product.
                       (a)  50 × 10                     (b)  10 × 16                     (c)  12 × 30

                       (d )  20 × 60                    (e)  124 × 10                     (f)  8 × 100
                  4.  Multiply.

                       (a)  20 × 700                    (b)  500 × 16                    (c)  900 × 9
                       (d)  200 × 19                    (e)  31 × 300                     (f)  17 × 100

                  properties of Multiplication

                  1.  Order Property: Numbers can be multiplied in any
                       order and their product will remain the same.                                    or

                       We observe that changing the order of two numbers              4 groups of 3           3 groups of 4
                                                                                       = 4 × 3 = 12            = 3 × 4 = 12
                       does not change the product.

                       Examples: (a)  8 × 4 = 32 = 4 × 8             (b)  125 × 10 = 1250 = 10 × 125

                  2.  Property of 1: When a number is multiplied by 1, the product is the number itself.
                       Examples: (a)  7 × 1 = 7                      (b)  53 × 1 = 53            (c)  124 × 1 = 124

                  3.  Property of 0: When a number is multiplied by '0', the product is always '0'.

                       Examples: (a)  5 × 0 = 0                      (b) 17 × 0 = 0              (c)  142 × 0 = 0

                  estiMating proDuct

                  To estimate the product, we first round off the multiplier and the multiplicand to the

                  nearest tens, hundreds or thousands and then multiply the rounded numbers.

                  Example:  Find the estimated product: 73 × 26                                             th H t O
                  Solution:  73 rounded off to the nearest 10 is 70.                                                7 0

                                 26 rounded off to the nearest 10 is 30.                                 ×          3 0
                                                                                                                    0 0
                                 Now, 70 × 30 = 2100                                                     + 2     1 0 0
                                 Thus, the estimated product = 2100                                         2    1 0 0

                           practice time 4F

                  1.  Fill in the blanks using the properties of multiplication.

                       (a)  11 × ____ = 11              (b)  ____ × 1 = 28               (c)  15 × 6 = ____ × 15

                       (d)  25 × ____ = 39 × 25         (e)  ____ × 29 = 0                (f)  175 × ____ = 0

                  Mathematics-3                                                                                          79

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