Properties of Rational Numbers

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.

Tags

CCSS.3.OA.B.5

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, ab = ba.

Tags

CCSS.3.OA.B.5

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number is another number which, when multiplied together, gives a product of 1. For example, the multiplicative inverse of 2/3 is 3/2.

Front

What is the Additive Inverse?

Back

The Additive Inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of 2/3 is -2/3.

Tags

CCSS.7.NS.A.1B

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).

Tags

CCSS.1.OA.B.3

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, (ab)c = a(bc).

Tags

CCSS.3.OA.B.5

Front

What is an example of the Distributive Property?

Back

An example of the Distributive Property is 3(w + 4) = 3w + 12.

Tags

CCSS.6.EE.A.3

Front

What is an example of the Commutative Property of Addition?

Back

An example of the Commutative Property of Addition is 5 + 3 = 3 + 5.

Tags

CCSS.1.OA.B.3

Front

What is the result of adding 2/3 and -2/3?

Back

The result is 0, demonstrating the concept of Additive Inverse.

Tags

CCSS.7.NS.A.1B

Front

What is the result of multiplying 2/3 and 3/2?

Back

The result is 1, demonstrating the concept of Multiplicative Inverse.

Tags

CCSS.6.NS.B.4