Arithmetic Grade Three

Lesson One hundred and five: Multiplication Patterns


These problems are a little more difficult:

  30 x 6 = 180		4 x 20 = 80		2 x 400 = 800

  600 x 4 = 1200	200 x 2 = 400		5 x 30 = 150

Let's look at some more examples in more detail

  ORIGINAL PROBLEM	REORGANIZED PROBLEM	ANSWER

     30 x 6 		   3 x 6 x 10		  180

     400 x 8		   4 x 8 x 100		  3200

     4 x 300		   4 x 3 x 100		  1200

     6 x 200		   6 x 2 x 100		  1200
   
     7 x 600		   7 x 6 x 100		  4200

To solve these problems we multiple the first number of our multiple of ten by the single digit value and then we multiply that product by the multiple of ten to arrive at our final product.

   MULTIPLE OF TEN	SINGLE DIGIT

      300	    x	   4

   REORGANIZED:

       3 x 4 x 100

   ANSWER:

       1200


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