ADDITION+AND+MULTIPLICATION+PROPERTIES

Addition and Multiplication are commutative: switching the order of two numbers being added or multiplied does not change the result.
 * Commutative Property of Addition and Multiplication **

Examples: 100 + 8 = 8 + 100100 × 8 = 8 × 100 Addition and multiplication are associative: the order that numbers are grouped in addition and multiplication does not affect the result.
 * Associative Property **

Examples: (2 + 10) + 6 = 2 + (10 + 6) = 18 2 × (10 × 6) = (2 × 10) × 6 =120 The distributive property of multiplication over addition: multiplication may be distributed over addition.
 * Distributive Property **

Examples: 10 × (50 + 3) = (10 × 50) + (10 × 3) 3 × (12+99) = (3 × 12) + (3 × 99) Adding 0 to a number leaves it unchanged. We call 0 the additive identity.
 * The Zero Property of Addition **

Example: 88 + 0 = 88 <span style="font-family: 'Arial','sans-serif'; font-size: 16px;">Multiplying any number by 0 gives 0.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 16px;">The Zero Property of Multiplication **

<span style="color: blue; font-family: 'Arial','sans-serif'; font-size: 16px;">Example: <span style="font-family: 'Arial','sans-serif'; font-size: 16px;">88 × 0 = 00 × 1003 = 0 <span style="font-family: 'Arial','sans-serif'; font-size: 16px;">We call 1 the multiplicative identity. Multiplying any number by 1 leaves the number unchanged.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 16px;">The Multiplicative Identity **

<span style="color: blue; font-family: 'Arial','sans-serif'; font-size: 16px;">Example: <span style="font-family: 'Arial','sans-serif'; font-size: 16px;">88 × 1 = 88

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