Arithmetic Properties

Front

What is the Multiplicative Inverse of a number?

Back

The Multiplicative Inverse of a number 'a' is 1/a, such that a × (1/a) = 1.

Front

What does the Distributive Property state?

Back

The Distributive Property states that a(b + c) = ab + ac.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that a + b = b + a.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that a × b = b × a.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that (a + b) + c = a + (b + c).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that (a × b) × c = a × (b × c).

Front

What is the identity element for Addition?

Back

The identity element for Addition is 0, since a + 0 = a.

Front

What is the identity element for Multiplication?

Back

The identity element for Multiplication is 1, since a × 1 = a.

Front

What does the term 'zero property of multiplication' mean?

Back

The zero property of multiplication states that a × 0 = 0 for any number a.

Front

Provide an example of the Distributive Property.

Back

Example: 3(4 + 5) = 3×4 + 3×5 = 12 + 15 = 27.