Math Tip - To facilitate adding (180 + 36), convert (36) to (20 + 16); and then add (180 + 20 + 16) = (216) the product. Thus, you can see and know the answer in your mind, without going through all the written calculations.

EXERCISE

Problem - # 1: 12 x 19. Find the partial products and the product.

Math Tip - When using Base-10 Math multiplication method - # 1, before you multiply any given set of whole numbers, always separate the Base-10 Number from the multiplier or the multiplicand, then proceed to multiply from left to right. For Example: 12 x 19 (12 = 10 + 2) x 19.

 


Problem- # 2
B x A = C
A 19
B 12
C 228

Pictorial Solution: Base-10 Method - # 1
Multiplier 12 x 19 Multiplicand

  19
(12 = 10 + 2) x10 + 2
(190 +38 ) = (228)
(or) (190 + 10 + 28 = (228)
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 19).

Second Step - Multiply (10 x 19) = ( ) the partial product.

Third Step - Multiply (2 x 19) = ( ) the partial product, or multiply (2) x (10 + 9) = ( ); and then add the partial products ( + ) = ( ) the product. Math Tip - To increase accuracy and speed when adding partial products, always round off the largest partial product to the next largest hundred. (100, 200, 300 etc.)

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