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Algebra: Properties #27
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Distributive Property
I DO (foldable) Commutative Property +, x Distributive Property Identity Property +, x Associative Property +, x
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____________ Property ____________ Property
I DO (foldable) ____________ Property ____________ Property Addition and Multiplication 7 + 9 = ________ a + b = ________ 4 * 6 = ________ a * b = ________ 2(7+4)=_________ a(b + c) = ________ Distribute the number ________ the parenthesis to the numbers _________ and solve. Numbers __________ to a new location but NO change to the answer. ____________ Property ____________ Property Addition and Multiplication Addition and Multiplication 3 + (9 + 4)= _________ a + (b + c) = _________ 8 * (5 * 7) = _________ a * (b * c) = _________ = ___ a + 0 = ___ 7 * 1= ___ a * 1 = ___ Whichever we _________ or _______ the numbers, the answer does NOT change. It ______ its __________.
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Properties are statements that are true for any number.
Vocabulary Commutative Property- The order in which two numbers are added or multiplied does not change their sum or product. Associative Property- The way in which three numbers are grouped when they are added or multiplied does not change their sum or product. Identity Property- The sum of an addend and 0 is the addend. The product of a factor and 1 is the factor. Distributive Property- To multiply a sum by a number, multiply each addend by the number outside the parenthesis. Properties are statements that are true for any number. The expressions 6 x 10 and 10 x 6 are called equivalent expressions because they have the same value (commutative property).
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Caution! The Commutative and Associative Properties do not apply to subtraction or division.
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WE DO (notes)
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ADV What Board Properties REG White Board Properties
YOU DO (classwork) ADV What Board Properties REG White Board Properties
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