Algorithms for adding and subtracting whole numbers

Adding Algorithms

Algorithm of adding is a step by step solution to a problem by combining the two groups together, so you would combine the place values one at a time. 

Short Standard Algorithm: this is where you add from right to left, one place-value at a time, regrouping when necessary.  An example of this is 

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Partial-Sums Algorithm: is where you work one place value at a time and adding all the sums to get the total.  You can also do this algorithm mentally.

An example of this is 

Subtracting Algorithms

Algorithm of subtracting is a step-by-step process in taking away a subset of objects from a given set.

Right to left(Standard) Algorithm: is where you subtract from right to left one place-value at a time.

An example is 

Left-to-right Subtraction Algorithm: is where you have a number life 356 and the sum is 300+50+6. Then you subtract the sum one at time, starting at the hundreds.

An example is