Commutative , Associative and Identity Properties

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

Which operations does the Associative Property apply to?

Back

The Associative Property applies to addition and multiplication.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, 3 + 5 = 5 + 3.

Front

Which operations does the Commutative Property apply to?

Back

The Commutative Property applies to addition and multiplication.

Front

What is the Identity Property?

Back

The Identity Property states that when you add zero to a number or multiply a number by one, the result is the original number. For example, 4 + 0 = 4 and 5 x 1 = 5.

Front

What is an example of the Identity Property in addition?

Back

An example of the Identity Property in addition is: 7 + 0 = 7.

Front

What is an example of the Identity Property in multiplication?

Back

An example of the Identity Property in multiplication is: 9 x 1 = 9.

Front

What does the expression 6 + 5 + 7 = 5 + 7 + 6 illustrate?

Back

This expression illustrates the Commutative Property, showing that the order of addition does not affect the sum.

Front

What does the expression a + (b + 6) = (a + b) + 6 illustrate?

Back

This expression illustrates the Associative Property, showing that the grouping of numbers does not affect the sum.

Front

What is the result of applying the Identity Property to the number 10 in addition?

Back

The result is 10, since 10 + 0 = 10.