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Arithmetic (Beginner) · Quick Reference
Addition Cheat Sheet
In one line: addition combines two or more numbers into a total, called the sum. It is the foundation for almost every other arithmetic operation.
Key Ideas
1Sum. The result of adding numbers together.
2Carrying. When a column adds to 10 or more, carry the extra 'ten' to the next column to the left.
3Commutative Property. Order does not matter: a + b = b + a.
4Associative Property. Grouping does not matter: (a + b) + c = a + (b + c).
5Adding Zero. Any number plus 0 equals itself (the identity property).
Worked Examples
Add 247 + 158.
405
Add 3,684 + 2,197.
5,881
Use the commutative property to check 45 + 32 = 32 + 45.
Confirmed: 77 = 77
Formulas
Sum = addend1 + addend2 + ...
Practice Yourself
36 + 47 = ?
83
128 + 356 = ?
484
509 + 291 = ?
800