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**Properties of Real Numbers**

Section 1-2 Properties of Real Numbers

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

Of Multiplication:

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**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:

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

Example:

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**multiplicative identity**

Multiply by one so the term does not change Example:

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**Multiplicative property of zero**

Anything times zero equals zero! Example:

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**Distributive property**

Multiply to each term inside parenthesis Examples:

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**Substitution property of equality**

Replacing an expression by another expression of the same value Example:

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**Symmetric property of equality**

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

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**Reflexive property of equality**

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

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**Transitive property of equality**

If , then Example: If , then

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**Addition property of equality**

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

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**Subtraction property of equality**

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

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**multiplication property of equality**

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

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**division property of equality**

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

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