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Pre-algebra

Properties of Mathematics

QuestionAnswer
Closure Property of Addition For all integers a & b; a + b is an integer
Commutative Property of Addition a + b = b + a
Associative Property of Addition (a + b) + c = a + (b + c)
Identity Property of Addition a + 0 = a
Inverse Property a + (-a) = 0
Closure Property of Addition The sum of any two integers is an integer
Commutative Property of Addition Changing the order of the addends does not change the sum
Associative Property of Addition Changing the grouping of the addends does not change the sum
Identity Property of Addition The sum of any integer and zero equals the original integer
Inverse Property The sum of any integer and its additive inverse equals zero, the identity element of addition
Closure Property of Addition 5 + 9 = 14; 14 is an integer
Commutative Property of Addition 8 + 4 = 4 + 8
Associative Property of Addition (-5 + 4) + 6 = -5 + (4 + 6)
Identity Property of Addition -2 + 0 = -2
Inverse Property 6 + (-6) = 0
Closure Property of Multiplication For all integers, a & b; ab is an integer
Commutative Property of Multiplication ab = ba
Associative Property of Multiplication (ab)c = a(bc)
Identity Property of Multiplication a( 1) = a
Zero Property a(0) = 0
Closure Property of Multiplication The product of two integers is an integer
Commutative Property of Multiplication Changing the order of the factors does not change the product
Associative Property of Multiplication Changing the grouping of the factors does not change the product
Identity Property of Multiplication The product of any integer and one equals the original integer
Zero Property The product of any integer and zero equals zero
Closure Property of Multiplication -7(2) = -14; -14 is an integer
Commutative Property of Multiplication -6(-5) = -5(-6)
Associative Property of Multiplication [-5(4)]9 = -5[4(9)]
Identity Property of Multiplication -7(1) = -7
Zero Property 0(5,210) = 5,210
Distributive Property For any integers a, b, & c; a(b + c) = ab + ac
Distributive Property -5(x + 6) = -5x + (-30)
Created by: lovebeingamommy
 

 



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