PART C. - BEGINNING BASE-10
MATHEMATICS FOR MULTIPLICATION

Welcome to the new, and exciting world of Base-10 Math for the 21st Century. As you the math student, now begin to use the Base-10 Math multiplication methods contained within this chapter, your mathematical world will be definitely changed forever. Furthermore, the mathematical facts, and all the overall related information that you have previously reviewed, has certainly prepared you to use the Base-10 Math System for multiplication more effectively.

Base-10 Math Multiplication Method- # 1

In this segment, the math student will be required to find the partial products and the product of each multiplication problem, using Base-10 Math multiplication method - # 1. The main objective in the first exercise, is to actually show the math student the simplicity of the arithmetic procedures, which are required to solve any given multiplication problem.

For Example: 12 x 18. Find the partial products and the product.

 


Problem- # 1
B x A = C
A 18
B 12
C 216

Pictorial Solution: Base-10 Method - # 1
Multiplier 12 x 18 Multiplicand

  18
(12 = 10 + 2) x10 + 2
( 180 + 36 ) = ( 216 )
(or) (180 + 20 + 16 ) = ( 216 )
Partial Products and Product

Written Solution: (It is as simple as A B C.)

First Step - Separate the Base-10 Number (10) from the multiplier which is (12) = (10 + 2); thus (10 + 2) becomes the multiplier for the problem (12 x 18).

Second Step - Multiply (10 x 18) = (180) the partial product.

Third Step - Multiply (2 x 18) = (36) the partial product, or multiply (2) x (10 + 8) = 36; and then add the partial products (180 + 36) = (216) the product.

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