Addition: No Carrying!

How you ever thought in addition: "I don't want to carry over. Its so hard!" Well, I have a solution for that! Its called the no-carrying trick, and I'm to guide you step-by-step in the process on how to do it! Let me show you an example:

   129

+ 423

Now for those of you, who can do can't do mental math, you're all probably wondering: "How can I do this problem without carrying over?" So let me show you the step by step process:

Step 1: Look at the place values farthest on the left. In this case, it would be 4 and 1. 
Step 2: Find their true values. For example, since 4 and 1 are in the hundred's place, their true values are 400 and 100.
Step 3: Find out the sum of the 2 numbers. Then put the answer below. Make sure its aligned correctly:

                                                                                 129

                                                                            +   423

                                                                                 500

Step 4: Now move over one place value to the right (In this case, since we started with the hundreds place, moving one place value to the right will get us to the tens place).

Step 5: Look at the place value you are on now. Repeat Step 2 and Step 3. Make sure its aligned correctly:

                                                                               129

                                                                           +  423

                                                                               500

                                                                                 40


Step 6: Repeat Step 4 and Step 5 for the ones place (in this example). You will notice that the sum for the ones digits place is 12. So how can you fit it in? The answer is simple, simply move the tens digit of the number (in 12, 1 is the 10s digit) one place value to the left. The result should look like this:


                                                                               129
                                                                          +   423 
                                                                               500
                                                                                 40
                                                                                 12


Step 7: Add the "solution numbers" together for you to get the solution of the entire problem. It should look like this:

                                                                               129

                                                                           +  423

                                                                               500
                                                                                 40             
                                                                           +    12
                                                                               552



It may seem confusing now, but once you get it, you'll be able to use this method in your head for various problems!