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Multiplication and Division Properties
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Terms in this set (20)
Commutative Property of Multiplication Example
3 x 5 = 5 x 3
Commutative Property of Multiplication Definition
You can change the order of the factors but your product won't change.
factors
numbers that are being multiplied together
product
the answer to a multiplication problem
Associative Property of Multiplication Example
3 x (5 x 9) = (3 x 5) x 9
Associative Property of Multiplication Definition
The way factors are grouped will not change the product.
Identity Property of Multiplication Example
5 x 1 = 5
Identity Property of Multiplication Definition
The product of a factor and 1 is the factor. (or any number times 1 is the number itself)
Multiplication Property of Zero Example
20 x 0 = 0
Multiplication Property of Zero Definition
Any factor times zero will equal zero
Distributive Property of Multiplication Example
8(3 + 5) = (8x3)+(8x5)
Distributive Property of Rule
a(b+c)=ab+ac
Dividing a Number by 1 Example
861÷1=861
Dividing a Number by Itself Example
861÷861=1
Dividing a Number by 1 Definition
Any number divided by 1 will be the number itself
Dividing a Number by Itself Example
Any number divided by itself will be 1
Dividing a Number by 0 Example
30÷0=∅
Dividing 0 by a Number Example
0÷30=0
Dividing a Number by 0 Definition
Dividing by zero is undefined (you can't do it because you can't have zero groups to hold your items)
Dividing 0 by a Number Definition
Zero divided by any number will be zero. For example, if I have $0 and share it with 5 friends, we all still have $0.
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