Properties Of Algebra.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.

Front

What is the Multiplicative Inverse for A (where A≠0)?

Back

The Multiplicative Inverse for A states that for any non-zero number a, there exists a number 1/a such that a * (1/a) = 1.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, a * 1 = a.

Front

What is the Symmetry Property?

Back

The Symmetry Property states that if a = b, then b = a.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (a + b) + c = a + (b + c).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (a * b) * c = a * (b * c).

Front

What is the Distributive Property of Multiplication over Addition?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, a * 0 = 0.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number added to zero remains unchanged. For example, a + 0 = a.