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Addition is an operation in which one number is added to another number. For example, 1 + 2 = 3 (one plus two equals three).

The additive identity is the number zero because zero plus any number is equal to the original number. For example, 2 + 0 = 0 + 2 = 2.

COMMUTATIVE PROPERTY:
Addition is commutative, that is, a + b is equal to b + a. You can change the order of the terms and not change the outcome of the operation. For example, 3 + 4 = 4 + 3 = 7.

TIPS:
When adding a series of numbers, there are some strategies that help simplify the addition process. One thing to remember is to group numbers to make tens. For example, when adding 2 + 7 + 8, you can add the 2 and the eight first to get ten, and then add the seven to get 17. Some teachers call these groups of numbers that add to ten, "friendly tens," since they make adding easier for the student.

Another tip is to look for doubles, like 4 + 4 or 6 + 6, and add them first in a long addition problem. This is done because most children learn their doubles before they learn random pairs of addends. For example, when adding 6 + 7 + 6, you can first add the two sixes to get 12, and then add the seven to get 19.

The inverse property of addition states that for every number a, a + (-a) = 0 (zero). For example, 6 + (-6) = 0.

In addition, you start on the right (the ones column). Then add each column in turn until you are done (add the ones column, the tens column, the hundreds column, etc.).

Carrying:
In a column, if the number you get after adding the column is greater than ten, you have to carry that ten's digit to the next column on the left. When you add that next column, you add in that carried digit.

 Adding DecimalsEach worksheet has decimal numbers to add. Adding Decimals Path-o-Math Puzzles: 2 by 3Make a path through each number matrix so that the sum of the decimals is equal to the given answer. Use only horizontal and vertical trails. You may not have to use all the numbers, and don't use a number more than once. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers

File Folder Games on Adding Numbers:
 Add the Numbers #1: File Folder GameThis is a simple game that can be made from a manila file folder. In this game, the student adds two one-digit numbers, and then checks the answer by opening a paper window under the math problem. This is an activity that stores easily! Add the Numbers #2: File Folder GameThis is a simple game that can be made from a manila file folder. In this game, the student adds two one-digit numbers, and then checks the answer by opening a paper window under the math problem. This is an activity that stores easily!
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