Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #411 : Operations And Properties

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

Possible Answers:

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

Correct answer:

Explanation:

The identity property of addition states that there is a number 0, called the additive identity, that can be added to any number to yield that number as the sum. Of the four statements, 

demonstrates this property.

Example Question #413 : Operations And Properties

Which of the following best represents the additive identity property?

Possible Answers:

Correct answer:

Explanation:

The additive identity property states that adding zero to any value will leave the value unchanged.  The equations that will best describe this scenario is:

  

Zero is the additive identity.

The above two equations are the only possible correct answers.

Example Question #1 : Additive Inverse Property

When is  neither positive nor negative?

Possible Answers:

Correct answer:

Explanation:

The additive inverse of  is . This means that when  is added to  the result is zero.

 can be written as .

Since zero is the only number that is neither positive nor negative the answer is .

Example Question #2 : Additive Inverse Property

What is the additive inverse of   ?

Possible Answers:

Correct answer:

Explanation:

The rule for Additive Inverse Property is .

Using this rule if ,

So the additive inverse is .

Example Question #12 : How To Add Fractions

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

Possible Answers:

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

Correct answer:

Explanation:

The inverse property of addition states that for every real number, a number exists, called the additive inverse, such that the number and its inverse have sum 0. Of the statements given, only 

demonstrates this property, so it is the correct choice.

Example Question #51 : Identities And Properties

What is the additive inverse of 30?   

Possible Answers:

Correct answer:

Explanation:

The question asks us what number added with 30 will equal zero.  Write the mathematical equation that represents this scenario.

Subtract 30 from both sides.

Example Question #422 : Operations And Properties

Which of the following displays the additive inverse property?

Possible Answers:

Correct answer:

Explanation:

The additive inverse property is when two numbers added together equal zero.  So,

displays that property.

Example Question #421 : Operations And Properties

What property can be applied to the following expression?

Possible Answers:

Associative of Multiplication

Multiplicative Inverse

Multiplicative Identity

Commutative of Addition

Distributive Law

Correct answer:

Multiplicative Identity

Explanation:

The rule for Multiplicative Identity Property is

Expression given in the question is: 

Hence the property is Multiplicative Identity.

Example Question #422 : Operations And Properties

Which of the following demonstrates the multiplicative inverse property?

Possible Answers:

Correct answer:

Explanation:

The multiplicative inverse property states that for some value ,

.

Therefore, the statement demonstrating the multiplicative inverse property is

.

 

Example Question #425 : Operations And Properties

Which of the following statements demonstrates the identity property of multiplication?

Possible Answers:

None of the examples in the other responses demonstrates the identity property of multiplication.

Correct answer:

Explanation:

The identity property of multiplication states that there is a number 1, called the multiplicative identity, that can be multiplied by any number to obtain that number. Of the four statements, 

demonstrates this property.

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