Pre-Algebra : Associative Property of Addition

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #12 : Identities And Properties

Which property is illustrated by the example?

Possible Answers:

Commutative property of addition

Zero property

Associative property of addition

Inverse property of addition

Correct answer:

Associative property of addition

Explanation:

The associative property of addition states:

When considering only addition and subtraction, the order of operations does not matter.

Example Question #13 : Identities And Properties

Simplify.

Possible Answers:

Correct answer:

Explanation:

Working left to right use the distributive property by multiplying the 4 to each term in parentheses.

Now, use the associative property to group like terms. Note that cannot be combined because they are not like terms.

Like terms can be combined with addition or subtraction.

Example Question #14 : Identities And Properties

What property can be applied to the following expression?

Possible Answers:

Associative of Addition

Commutative of Addition

Additive Inverse

Associative of Multiplication

Additive Identity

Correct answer:

Associative of Addition

Explanation:

The rule for Associative Property of Addition is

Expression given in the question is: 

Hence the property is Associative of Addition.

Example Question #15 : Identities And Properties

Use the "Associative of Addition" property to write the below expression in a different way.

Possible Answers:

Correct answer:

Explanation:

The rule for Associative Property of Addition is 

Using this rule, the expression  can be written as 

Example Question #16 : Identities And Properties

What property is being demonstrated?

Possible Answers:

Distribution Property

Associative Property of Addition

Communitive Property of Addition

PEMDAS

Correct answer:

Associative Property of Addition

Explanation:

 

The Associative Property of Addition says that when we add more than two numbers the grouping of the addends does not change the sum.

Example Question #17 : Identities And Properties

Which of the following statements demonstrates the associative property of addition?

Possible Answers:

None of the examples in the other responses demonstrates the associative property of addition.

Correct answer:

Explanation:

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only 

demonstrates this property, so it is the correct choice.

Example Question #18 : Identities And Properties

Which of the following displays the associative property of addition?

Possible Answers:

Correct answer:

Explanation:

The associative property of addition simply states that you can add 2 numbers together in any order and the answer will not change.  Therefore, 

displays the associative property of addition.

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