Term
| Commutative Property of Multiplication |
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Definition
The product of a group of numbers is the same regardless of the order in which the numbers are arranged.
8 x 6 = 48 and 6 x 8 = 48; therefore, 8 x 6 = 6 x 8. |
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Term
| Associative Property of Addition |
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Definition
Associative property states that the change in grouping of three or more addends or factors does not change their sum or product
For any numbers a,b, and c,(a+b)+c = a+(b+c)
4+(2+3)= (4+2) + 3 |
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Term
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Definition
Replacing the variable (letter) with the equal number
If a = b, then ac = bc
evaluate 4x
if x = 3
4(3)
12 |
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Term
| Identity Property of Multiplication |
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Definition
A number that can be multiplied by any second number without changing the second number
1 x 5 = 5 x 1 = 5 |
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Term
| Inverse Property of Addition |
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Definition
| Properties that state a number combined with its inverse equals the identity |
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Term
| Addition Property of Equality |
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Definition
Adding the same number to each side of an equation produces an equivalent expression
x = x
x + 3 = x + 3 |
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Term
| Multiplication Property of Equality |
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Definition
Both sides of an equation are multiplied by the same number, the remaining expressions are still equal
x + 4 = x + 3
4(x + 4) = 4(x + 3) |
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