# Arithmetic - Learn How To Solve Simple Addition Problems

## Learn Integer Addition By Example

0
+1 1 |
1
+1 2 |
2
+1 3 |
3
+1 4 |
4
+1 5 |
5
+1 6 |
6
+1 7 |
7
+1 8 |
8
+1 9 |
9
+1 10 |

The **Decimal Number System** has the following ten numerical symbols:
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

When we add the number 1 to another number we get the next larger number. Example: 0 + 1 = 1, 1 + 1 = 2, 2 + 1 = 3, ... 8 + 1 = 9, 9 + 1 = 10, 10 + 1 = 11, etc.

What is really interesting is when we add the number 1 to the number 9. The answer can no longer be shown as a single digit of 0 to 9. It takes two digits: 10. In other words, instead of using a new symbol to represent ten, we start reusing 0 to 9.

To make all of this much clearer, try our Addition Table and First Grade Addition Calculator. It provides numerical and visual answers to a math problem of your choice with step by step detailed explanations.