properties of operations

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in an addition problem does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which two numbers are added does not change the sum. For example, 4 + 5 = 5 + 4.

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number, there is an opposite number (or additive inverse) that, when added together, equals zero. For example, 5 + (-5) = 0.

Front

What is the identity element for addition?

Back

The identity element for addition is 0, because adding 0 to any number does not change the value of that number. For example, 7 + 0 = 7.

Front

What is equivalent to 5 + (6 + 9)?

Back

(5 + 6) + 9.

Front

What is equivalent to 3 + 12?

Back

12 + 3.

Front

Which property is used in the equation 7(8 + 2) = 7 × 8 + 7 × 2?

Back

Distributive Property.

Front

Identify the property: 6 + (21 + 3) = (6 + 21) + 3.

Back

Associative Property.

Front

What property is shown in (4 + 5) + 6 = 4 + (5 + 6)?

Back

Associative Property of Addition.