Real Number PROPERTIES

Front

What is the Inverse Property in real numbers?

Back

The Inverse Property states that for any number a, there exists a number -a such that a + (-a) = 0 (additive inverse) and a * (1/a) = 1 (multiplicative inverse).

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the Associative Property?

Back

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

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the result. For example, a + b = b + a and ab = ba.

Front

Solve: 4 x 1/4 = ?

Back

1 (This demonstrates the Inverse Property.)

Front

Solve: 4(x - 8) = ?

Back

4x - 32 (This demonstrates the Distributive Property.)

Front

Solve: 2x + 22 = 2(x + 11). What property is used?

Back

Distributive Property.

Front

Solve: 3 + (12 + 8) = 3 + (8 + 12). What property is used?

Back

Commutative Addition.

Front

What is the Identity Property?

Back

The Identity Property states that adding 0 to a number does not change the number (a + 0 = a) and multiplying a number by 1 does not change the number (a * 1 = a).

Front

What is the Property of -1?

Back

The Property of -1 states that multiplying any number by -1 results in the additive inverse of that number. For example, a * -1 = -a.