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Math - Understanding AdditionSimply put, addition is taking a number or a group of numbers and putting more numbers with those. It doesn't just mean numbers, but things as well. You may have 2 toys and your friend might have 3 toys, wouldn't it be nice to know how many toys you can have altogether if you shared? If you want to be in a position to accumulate more and more things, addition will help you. Occupations that need addition as a basic requirement - EVERYTHING!! If you cook your own meals, you will need to know how to add extra ingredients to suit each different occasion. If you don't want to cook, you will need to learn which bills to add together to bring you to the total cost of the meal. If you have a job or run your household, you need to know how to add to keep a budget together so your money is not spent foolishly leaving you broke. It doesn't matter what you think you will do with the rest of your life, you will need to know addition. Calculators are fine for big problems, but what if you don't have one handy? If you can drill the basic single digit problems into your mind and have it memorized, you can eventually train your mind to solve two or more digit numbered problems. Below is the table you need to learn as a foundation for the rest of addition.
Just remember, memorize the above as it is the foundation to make the rest of addition make sense. When using more than one digit numbers, all you need to remember is to start on the right and go to the left while adding the top column to the bottom. If the first column on the right has more than one digit, you use only the last digit of that number in the column and add the extra digits in the next column. It helps if you understand each digit has a place which helps you keep the count. The places are where you line up columns of numbers. Look at the chart below for the numbers 1 and 96 and 321 and 9102: Make up your own problems first starting with one digit numbers, then move on to 2, 3, 4 or more digits. Use a calculator only after you finish to verify you have them correct. The more you practice this skill, the more it will become second nature for you to do these out of your head.
Basically start with the top right number and add the bottom right number. Put that number below. If that number has more than two digits, leave the right number there and add the left number to the next row. Keep doing this until all rows are added. In the above example, if I wanted to add 1 + 96 +321 + 9802, I would line up the digits over each other according to its place. I would start with the ones column. If I were to add 1 + 6 + 1 + 2 it would equal 10. Since only 1 digit can go below, it has to be the digit on the right which is 0. The 1 would be added to the next column. The tens column has 9 and 2 and 0 along with the 1 from the first row. You need to add 9 + 2 + 0 + 1 and it would equal 12. Only one number, the right one, can be left below which is the 2. The number 1 would be added to the next row. The third row has the numbers 3 and 8 along with the 1 carried over from the last column. You will need to add 3 + 8 + 1 and this would equal 12. The right number which is 2 stays and you carry the left number 1 to the next row. The last column has only a 9, but you also carried the 1 over from the last column so you need to add 9 + 1 which equals 10. Since there are no more columns, you just leave it at 10. The total would then equal 10,220. For more resources to help you practice your skills, consult the following books:
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