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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-03
              \\December 6, 2023 1:25 PM   Bharat Arora   P-6           Reader _________________________   Date: ___________________74





              Let us learn it in detail.
                     Š To multiply a number by tens (10, 20, 30, …), we multiply the number by the

                      digit in the tens place and write a 0 at the end of the product.
              examples:  (a)  248 × 10 = 2480              (b)  367 × 20 = 7340           (c)  4123 × 30 = 123690

                     Š To multiply a number by a hundreds (100, 200, 300, ....), we multiply the number

                      by the digit in the hundreds place and write two 0s (00) at the end of the product.
              examples:  (a)  438 × 100 = 43800  (b)  164 × 200 = 32800  (c) 1245 × 300 = 373500

                     Š To multiply a number  by thousands  (1000,  2000,  3000,  ....),  we multiply  the

                      number by the digit in the thousands place and write three 0s (000) at the end
                      of the product.

              examples:  (a) 7 × 5000 = 35000                        Think and Answer
                            (b) 38 × 1000 = 38000                A bundle of ten-rupee notes
                                                                 contains 100 notes. How much money
                            (c) 264 × 2000 = 528000              are there in such 17 bundles?

                       practice time 3D


                1.  Fill in the blanks.

                    (a)  37 × 10 = ____             (b)  268 × 100 = ____                 (c) 3412 × 30 = ____
                    (d)  _____ × 1000 = 93000  (e)  246 × ____ = 2460                     (f)  43 × 400  = ____

                2.  Find the product of the following.

                    (a)  372 × 20           (b)  45 × 30             (c)  578 × 40           (d)  478 × 800
                    (e)  274 × 100           (f)  372 × 2000         (g)  278 × 300          (h)  48 × 4000


              properties of Multiplication


              1.  Multiplicative property  of 0: When  a  number  is  multiplied by  0,  the  product  is
                  always 0.
                  examples:  (a)  8 × 0 = 0           (b)  12 × 0 = 0          (c)  481 × 0 = 0

              2.  Multiplicative property  of 1: When  a  number  is  multiplied by  1,  the  product  is
                  the number itself.
                  examples:   (a)  7 × 1 = 7          (b)  13 × 1 = 13         (c)  340 × 1 = 340

              3.  Order property: The product of two numbers does not change, when we change
                  the order of the numbers.

                  examples:      7 × 8 = 56  and  8 × 7 = 56                   So, 7 × 8 = 8 × 7

                                                    same
                  The order property is also known as the Commutative property of multiplication.



              Mathematics-4                                                                                          59
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