Below are examples of two algorithms, theExpanded Notation Algorithm and the Lattice Addition Algorithm. I will show you how to use them step by step.
The first algorithm we will look at is the EXPANDED NOTATION ALGORITHM.
You are given the problem 336 + 389.
Step One: Write out the numbers according to place value
Step Two: Add the like place values
Step Three: Now you have to separate these numbers according to place value
Step Four: Add the like place values just as you did in Step Two
Step Five: These numbers are now ready to be added together
Now we will look at the LATTICE ADDITION ALGORTIHM. Or you can go back to the
top of the page.You are given the problem 3429 + 785.
Step One: Write out the problem, then draw a "lattice" grid below it as shown
Step Two: Add each column and write the entire number in the spaces. The first digit goes in the upper triangle, and the second digit goes in the lower triangle.
Step Three: Add the digits together going diagonally (follow the arrows). If you get a two digit number (which we didn't in this example), you just carry the digit in the tens position up to the top of the next column. Once all this adding is done, you have your final answer.
Congratulations! You now know two more ways to solve addition problems.