Properties of Numbers

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) and (a x b) x c = a x (b x c).

Front

Rewrite (9 x 6) x 5 using the Associative Property.

Back

9 x (6 x 5)

Front

What property is represented by the equation 7 * (1/7) = 1?

Back

Multiplicative Inverse

Front

What does the Commutative Property state?

Back

The Commutative Property states that the order of numbers does not affect the sum or product. For example, a + b = b + a and a x b = b x a.

Front

According to the Commutative Property of Addition, what is 3 + 4 + 6 equal to?

Back

6 + 3 + 4

Front

What property deals with GROUPING?

Back

Associative Property

Front

What is the Identity Property?

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 x 1 = a).

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.

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.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any number is equal to itself, expressed as a = a.