Associative Property of Addition

When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (a + b) + c = a + (b + c)

Associative Property of Multiplication

When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands. For example (a x b) x c = a x (b x c)

Commutative Property of Addition

When two numbers are added, the sum is the same regardless of the order of the addends. For example a + b = b + a

Commutative Property of Multiplication

When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example a x b = b x a

Distributive Property

The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a x (b + c) = a x b + a x c

Identity Property of Addition

The sum of any number and zero is the original number. For example a + 0 = a.

Identity Property of Multiplication

The product of any number and one is that number. For example a x 1 = a.

Additive Inverse of a Number

The additive inverse of a number, a is -a so that a + -a = 0.

Multiplicative Inverse of a Number

The multiplicative inverse of a number, a is so that a x = 1.

Addition Property of Zero

Adding 0 to any number leaves it unchanged. For example a + 0 = a.

Multiplication Property of Zero

Multiplying any number by 0 yields 0. For example a x 0 = 0.

The equals sign in an equation is like a scale: both sides, left and right, must be the same in order for the scale to stay in balance and the equation to be true.

Property of Equality for Addition

says that if a = b, then a + c = b + c. If you add the same number to both sides of an equation, the equation is still true.

Property of Equality for Subtraction

says that if a = b, then a - c = b - c. If you subtract the same number from both sides of an equation, the equation is still true.

Property of Equality for Multiplication

says that if a = b, then a x c = b x c. If you multiply the same number to both sides of an equation, the equation is still true.

Property of Equality for Division

says that if a = b, then a / c = b / c. If you divide the same number to both sides of an equation, the equation is still true.

Reflexive Property of Equality

says that if a = a: anything is congruent to itself. The equals sign is like a mirror, and the image it "reflects" is the same as the original.

Symmetric Property of Equality

says that if a = b, then b = a.

Transitive Property of Equality

says that if a = b and b = c, then a = c

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Term	Definition
Associative Property of Addition	When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (a + b) + c = a + (b + c)
Associative Property of Multiplication	When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands. For example (a x b) x c = a x (b x c)
Commutative Property of Addition	When two numbers are added, the sum is the same regardless of the order of the addends. For example a + b = b + a
Commutative Property of Multiplication	When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example a x b = b x a
Distributive Property	The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a x (b + c) = a x b + a x c
Identity Property of Addition	The sum of any number and zero is the original number. For example a + 0 = a.
Identity Property of Multiplication	The product of any number and one is that number. For example a x 1 = a.
Additive Inverse of a Number	The additive inverse of a number, a is -a so that a + -a = 0.
Multiplicative Inverse of a Number	The multiplicative inverse of a number, a is so that a x = 1.
Addition Property of Zero	Adding 0 to any number leaves it unchanged. For example a + 0 = a.
Multiplication Property of Zero	Multiplying any number by 0 yields 0. For example a x 0 = 0.
Property of Equality	The equals sign in an equation is like a scale: both sides, left and right, must be the same in order for the scale to stay in balance and the equation to be true.
Property of Equality for Addition	says that if a = b, then a + c = b + c. If you add the same number to both sides of an equation, the equation is still true.
Property of Equality for Subtraction	says that if a = b, then a - c = b - c. If you subtract the same number from both sides of an equation, the equation is still true.
Property of Equality for Multiplication	says that if a = b, then a x c = b x c. If you multiply the same number to both sides of an equation, the equation is still true.
Property of Equality for Division	says that if a = b, then a / c = b / c. If you divide the same number to both sides of an equation, the equation is still true.
Reflexive Property of Equality	says that if a = a: anything is congruent to itself. The equals sign is like a mirror, and the image it "reflects" is the same as the original.
Symmetric Property of Equality	says that if a = b, then b = a.
Transitive Property of Equality	says that if a = b and b = c, then a = c

Created by: therabbit

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