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The Properties of:

The Properties of:. By: Robert S. Introduction. 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. Commutative Property….

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The Properties of:

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  1. The Properties of: By: Robert S.

  2. Introduction • 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

  3. Commutative Property… Of multiplication Of 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

  4. Associative property… Of addition Of 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

  5. Identity Property... Of Multiplication Of 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

  6. The distributive Property • 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)!

  7. Equality Property of Addition, Subtraction, Multiplication, and Division • 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.

  8. Inverse Property… 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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