#### Real numbers are just about any number you can think of including whole, rational, and irrational numbers. The only values that are not real numbers are imaginary and infinity. The most common properties of real numbers are the associative, commutative, closure, and distributive properties. They can go through many different types of basic operations and still retain their identity as a real number. **Commutative property** - Addition: When you add two values, their sum will be the same no matter which order you place arrange the values in. Multiplication: when you multiply two integers, their product will be the same no matter which orders you find the product in.
**Associative property** - Addition: When you add two numbers, their sum will be the same no matter which way you group the sums. Multiplication: When you multiply three or more units, their product will be the same no matter which way you group the integers.
**Distributive property** - This says that the sum of two number times a third number will be equal to the sum of each addend times the third number.
**Identity property** -Addition: the sum of zero and any number will be that number. Multiplication: the product of one and any number is that number.

These worksheets explain how to identify the property associated with a given expression. The worksheets also go over certain properties of real numbers, such as the commutative property of addition, relate to actual equations. Your students will use these worksheets to review identifying the property associated with a given expression. Note: students should already be familiar with the list of the properties of real numbers. We also cover the topics of: commutative property of multiplication, the additive identity property, the distributive property, and the multiplicative inverse property.