General Math Rules

# General Math Rules - Zero Exponent created by D.J...

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Order of Operations: Simplify expressions in the following order. If there are brackets or parentheses, simplify the expressions within those first. If there are division bars, simplify the top and bottom expressions separately. Next, simplify any exponents. Then, do any multiplications or divisions in order from left to right. Finally, do any additions or subtractions in order from left to right. The word PEMDAS can help you remember this order: P arentheses E xponents M ultiplication D ivision A ddition S ubtraction Example: Properties of Real Numbers: Commutative Properties: Addition: Multiplication: Associative Properties: Addition: Multiplication: Distributive Property: Another example: Properties of Exponents: b n means the product of b multiplied by itself n times Product Rule: Power of a Power Rule: Power of a Product Rule: Power of a Quotient Rule: Quotient Rule:
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Unformatted text preview: Zero Exponent: created by D.J. Phensuvabharp 4 21 84 21 20 64 21 ) 4 ( 5 64 21 ) 4 ( 5 8 7 3 ) 3 7 ( 5 8 2 2 = = + = + = + = ⋅ − + a b b a + = + 3 7 ) 7 ( 3 + − = − + a b b a ⋅ = ⋅ ) 8 ( 5 5 8 − ⋅ = ⋅ − ) c b ( a c ) b a ( + + = + + ) 20 10 ( 5 20 ) 10 5 ( + + = + + ) c b ( a c ) b a ( ⋅ ⋅ = ⋅ ⋅ ) 11 2 ( 3 11 ) 2 3 ( ⋅ ⋅ − = ⋅ ⋅ − c a b a ) c b ( a ⋅ + ⋅ = + 10 5 6 5 ) 10 6 ( 5 ⋅ + ⋅ = + 7 x 7 ) 1 ( x 1 ) 7 x ( 1 ) 7 x ( + − = ⋅ − − ⋅ − = − − = − − 27 3 3 3 3 3 = ⋅ ⋅ = n m n m a a a + = ⋅ 9 7 2 7 2 x x x x = = ⋅ + mn n m a ) a ( = 24 8 3 8 3 5 5 ) 5 ( = = ⋅ n n n b a ) ab ( = n n n y 7 ) y 7 ( = n n n b a b a = ! " # \$ % & 3 3 3 8 x 8 x = ! " # \$ % & n m n m a a a − = 5 4 9 4 9 x x x x = = − a , 1 a ≠ = 1 5 =...
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