how do you do expanded algorithm? here's an example to use for the answer 58*26
Instead of multiplying a single digit at a time with a number of digits, single digit products are written down and eventually added.
58*26 would be calculated as
8*6=48
8*20=160
50*6=300
50*20=1000
then add up the four numbers to get 1508.
You can take a look at the site:
http://www.atlantatraffic.com/KSUWebsite/?p=825
The formatting limitations of this site does not allow me to align vertical columns, so it will not be illustrative.
Thank you so much!! I understand expanded algorithm so much better now!
To perform the expanded algorithm for multiplication, follow these steps using the example of multiplying 58 by 26:
Step 1: Write the numbers vertically with each digit aligned:
58
x 26
Step 2: Start with the rightmost digit of the second number (6) and multiply it by each digit of the first number from right to left:
5 8
x 2 6
-----------
1 2 (6 multiplied by 2)
2 9 (6 multiplied by 5, with a placeholder 0 added)
Step 3: Shift the second number by one place to the left and repeat the multiplication for the next digit:
5 8
x 2 6
-----------
1 2 (6 multiplied by 2)
2 9 (6 multiplied by 5, with a placeholder 0 added)
+ 3 4 (2 multiplied by 2, with a placeholder 0 added)
Step 4: Add the products obtained in each step:
5 8
x 2 6
-----------
1 2 (6 multiplied by 2)
2 9 (6 multiplied by 5, with a placeholder 0 added)
+ 3 4 (2 multiplied by 2, with a placeholder 0 added)
-----------
1 5 0 8 (sum of all the products)
Therefore, 58 multiplied by 26 equals 1,508.