 # The Properties of: By: Robert S..  There are many different properties of algebra, and in this slide show I will go over just a few.  Some of these.

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The Properties of: By: Robert S.

 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

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

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

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

 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) !

 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.

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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