Need assistance on algebra word problem

solve the multiplication problem 23*27 by writing equations that use expanded forms and the distributed property. relate the equation to the steps in partial-products algorithm for calculating 23*27. Use this to explain why the partial-products algorithm calculates the correct answer to 23*27.

Re: Need assistance on algebra word problem

Quote:

Originally Posted by

**green11** solve the multiplication problem 23*27 by writing equations that use expanded forms and the distributed property. relate the equation to the steps in partial-products algorithm for calculating 23*27. Use this to explain why the partial-products algorithm calculates the correct answer to 23*27.

What is a "partial-products algorithm?" Do you perhaps mean something like this: (20 + 3)(20 + 7)?

-Dan

Re: Need assistance on algebra word problem

no, something like this

partial produce algorithm example

Original problem

764

x58

------

764

x58

-------

32-8*4

480-8*60

5,600-8*700

200-50*4

3,000-*50*60

35,000-50*700

44,312(total after adding the amounts, 32+480...)

Re: Need assistance on algebra word problem

Dan's interpretation of your problem is correct.

We can consider the product of (764)x(58) as (700 + 60 + 4) x (50 + 8) = (8+50) x (4 + 60 + 700) by commutativity of addition and multiplication

(8+50) x (4+60+700) using foil method / distributive property is 8*4 + 8+60 + 8*700 + 50*4 + 50*60 + 50*700

For 23 x 27 it's exactly the same process and you start with the form Dan outlined for you already.