Algebraic Properties Flashcard

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

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 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 Addition Property of 0?

Back

The Addition Property of 0 states that adding zero to any number does not change the number. For example, a + 0 = a.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, a × b = b × a.

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 in action?

Back

For example, 3(4 + 5) = 3×4 + 3×5 = 12 + 15 = 27.

Front

What is the Multiplication Property of 1?

Back

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

Front

How do you simplify -(8 - m)?

Back

You distribute the negative sign: -(8 - m) = -8 + m = m - 8.

Front

What is an equivalent expression using the Commutative Property?

Back

For example, 4 × 3 × 5 can be rearranged to 5 × 4 × 3.