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Published byLucinda Preston Modified over 5 years ago

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The Properties of: By: Robert S.

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There are many different properties of algebra, and in this slide show I will go over just a few. Some of these properties are: The Commutative Property The Distributive Property The Inverse Property

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OF MULTIPLICATIONOF ADDITION The commutative property of multiplication says that changing the order of the numbers will not change the answer when the problem is all multiplication. Example: 6*5=30 5*6=30 The commutative property of addition says that changing the order of the numbers will not change the answer when the problem is all addition. Example: 7+2=9 2+7=9

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OF ADDITIONOF MULTIPLICATION The associative property of addition says that if the problem is all addition it doesn’t matter where the parentheses are, the answer will still be the same. Example: (7+2)+3=12 7+(2+3)=12 The associative property of multiplication says that if the problem is all multiplication, it doesn’t matter where the parentheses are, the answer will still be the same. Example: (8*3)*2=48 8*(3*2)=48

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OF MULTIPLICATIONOF ADDITION The identity property of multiplication says that anything times one equals itself. Examples: 1234567890*1=1234567890 9876543210*1=9876543210 The identity property of addition says that anything plus zero equals itself. Examples: 1357908642+0=1357908642 1470852369+0=1470852369

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The distributive property says that when doing a problem, like 4*(2+3), 4 distributes over 2 and 3, and the problem can be interpreted like 4*2+4*3, and the answer will still be the same as if you wrote the problem as 4*(2+3) !

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The equality property says that if you add, subtract, multiply, or divide the same number to each side of the equation, the equation will still be true.

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OF ADDITION:OF MULTIPLICATION: The additive inverse of a number is it’s opposite, and when it is added to the original number, it will equal zero. Example: 5+(-5)=0 The multiplicative inverse of a number is a fraction that when the number is multiplied by it, the answer is one. Example: 5*(1/5)=1

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