Math Properties

Front

What is the Identity Property in mathematics?

Back

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

Front

What does the Commutative Property state?

Back

The Commutative Property states that the order of addition or multiplication does not change the result. For example, a + b = b + a and a × b = b × a.

Front

What is the Associative Property?

Back

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

Front

Are 40 ÷ 10 and 10 ÷ 40 equivalent?

Back

No, these two expressions are not equivalent.

Front

What is an example of the Identity Property?

Back

An example of the Identity Property is: a + 0 = a.

Front

Are 6 + 3 and 3 + 6 equivalent?

Back

Yes, because of the commutative property.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that when adding three or more numbers, the way in which the numbers are grouped does not affect the sum.

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

Are (2 • (3 • 7)) and ((2 • 3) • 7) equivalent?

Back

Yes, because of the associative property.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.