How many ways do you know to work this problem?
1274 
+ 362 
For most of us, this is how we would do it:
 
Your finished problem would look like this:

Though this method is good and is what most of us were taught, it is not the only way to work this problem. It is one of many. Let's explore some of the other ones, and then see why it matters that there are lots of ways to do it.
A different way to approach addition is to break the problem down into smaller calculations, and start on the left side of the problem instead of the right. What do I mean? Let's find out.
Any number bigger than 1 can be broken down into 2 or more smaller numbers. So for this problem, we can picture 362 as the combination of 300, 60 & 2. By looking at 362 as a combination of these three smaller numbers we can do the calculations in bitesized bits.
Take the first number, 1274 and add 300 to it, then add 60 to that, then add 2 to that.

Here are some other problems to explore. See if you can solve them in two different ways, or maybe even more than two?
1)  156  2)  578  3)  396  4)  274  5)  537  6)  1154 
+ 39  + 102  + 851  + 154  + 623  + 3296 
If you'd like some help exploring, after you've done some exploring yourself, see the next page ...
Playing with Arithmetic Index  
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