1. Properties of Real Numbers
Section 1-2
Properties of
Real Numbers

2. Commutative property Order doesn’t matter! Examples: Of Addition:
Of Multiplication:

3. Order stays the same, but the terms are regrouped.
associative property
Order stays the same, but the terms are regrouped.
Examples:
Of Addition:
Of Multiplication:

4. Additive identity Add zero to a term so the term does not change
Example:

5. multiplicative identity
Multiply by one so the term does not change
Example:

6. Multiplicative property of zero
Anything times zero equals zero!
Example:

7. Distributive property
Multiply to each term inside parenthesis
Examples:

8. Substitution property of equality
Replacing an expression by another expression of the same value
Example:

9. Symmetric property of equality
Switch sides! (do not change order of terms on each side)
Examples: If
then If
then

10. Reflexive property of equality
Same thing (same order) on each side of the equal sign
Examples:

11. Transitive property of equality
If , then
Example:
If , then

12. Addition property of equality
Add the same thing on both sides of an equation.
Example:

13. Subtraction property of equality
Subtract the same thing on both sides of an equation.
Example:

14. multiplication property of equality
Multiply the same thing on both sides of an equation.
Example:

15. division property of equality
Divide the same thing on both sides of an equation.
Example: