 # Properties of Real Numbers

## Presentation on theme: "Properties of Real Numbers"— Presentation transcript:

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

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

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:

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

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

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

Distributive property
Multiply to each term inside parenthesis Examples:

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

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

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

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

Add the same thing on both sides of an equation. Example:

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

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

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