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Properties of Addition & Multiplication
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Terms in this set (15)
Identity
Result gives you the original number back.
Addition: a + 0 = a
Multiplication: a * 1 = a
Inverse
Cancels a numbers out
Addition: a + (-a) = 0
Multiplication: a*(1/a) = 1
Associative
Regrouping numbers in parenthesis
Addition: (a + b) + c = a + (b + c)
Multiplication: (ab)c = a(bc)
Commutative
Order is swapped
Addition: a + b = b + a
Multiplication: ab = ba
Distributive
Number outside parenthesis is multiplied by both two terms inside the parenthesis.
a(b + c) = ab + ac
7 - 4 = -4 + 7
Commutative Property of Addition
5 + (-5) = 0
Inverse Property of Addition
4(x + 10) = 4x + 40
Distributive Property
3 * 1 = 3
Identity Property of Multiplication
x(y + z) = xy + xz
Distributive Property
7
4 = 4
7
Commutative Property of Multiplication
9 + (1 + 2) = (9 + 1) + 2
Associative Property of Addition
9 * (1/9) = 1
Inverse Property of Multiplication
6 + 0 = 6
Identity Property of Addition
(4
2)
15 = 4
(2
15)
Associative Property of Multiplication
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