Mathematical Properties

Front

Distributive Property Addition

Back

Multiplying a number by a sum is the same as multiplying the number by each addend and then adding the products.

In mathematical terms: a(b+c)=ab+ac

Front

Distributive Property Subtraction

Back

Multiplying a number by a difference is the same as multiplying the number by each term in the subtraction and then subtracting the products.

In mathematical terms: a(b-c)=ab-ac

Front

Zero Property of Multiplication

Back

Any number multiplied by zero equals zero.

In mathematical terms: a×0=0

Front

Commutative Property Addition

Back

The way in which numbers are grouped when adding does not affect the sum.

In mathematical terms: a+b=b+a

Front

Commutative Property Multiplication

Back

Changing the order of the numbers being multiplied does not change the product.

In mathematical terms: a×b=b×a

Front

Associative Property Addition

Back

The way in which numbers are grouped when adding does not affect the sum.

In mathematical terms: (a+b)+c=a+(b+c)

Front

Associative Property Multiplication

Back

The way in which numbers are grouped when multiplying does not affect the product.

In mathematical terms: (a×b)×c=a×(b×c)

Front

Identity Property Addition

Back

Adding zero to any number does not change its value.

In mathematical terms: a+0=a

Front

Identity Property Multiplication

Back

Multiplying any number by one does not change its value.

In mathematical terms: a×1=a

Front

Inverse Property Addition

Back

For every number, there is an additive inverse (or opposite) that, when added together, results in zero.

In mathematical terms: a+(−a)=0.