Algorithm's for Addition

Different Algorithm's for Addition

>Left to Right
>Partial Sums
>Right to Left (the traditional way of doing addition)

Left to Right

-Advantages to doing addition left to right: you also read left to right and do division left to right.
  Example:

In this problem you would start with 4+9 and then got to 7 +6, which equals 13. You would list the 3 under 7 +6 and the 1 under the 3 from 4 +9. after completing the problem from left to right, you will have another addition problem and after adding those numbers you will come to the total from the original problem.  I like this way because I have found when tutoring the little boys I nanny they for get to add the 1 from the carried number and they always try to start from the left and go right.  I feel they tend to try to start from the left and go right because that is the way they were taught to read, so it would make sense to do math that way as well.
Still having problems? Here is a video that might be helpful:

 

Partial Sums

Another Algorithm for addition is the Partial Sums Method. I personally really like this method because you get to see what each product of the two numbers you are adding and what the true place value is.   This is something that a lot of us adults just do, we don't really think about the place value of each digit when adding.  when we say we have $740, we ( or at least I ) think of the entire amount of the money, we don't really think about I have 4 ten dollar bills and 7 one hundred dollar bills.  With this method of addition it really breaks down each addition process.

 When adding you start in the tens place and then go hundreds, thousands, and so on.  Since 6+7 is 13 you put it in the tens place. Then you go to 7+6 is 11, so you put it in the hundreds place making it 110 in the second line, and so on. 

This video does a great job of explaining the traditional method and the partial sums method.

Math Tube

Right to Left 

This is the kind of addition we are use to. This is went you add from right to left and carry the number above to the next place value.