Pre-Algebra : Integers and Types of Numbers

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #50 : Number Theory

 can correctly be considered all of the following types of number, EXCEPT:

Possible Answers:

Rational

Negative

Real

Integer

Natural

Correct answer:

Natural

Explanation:

Negative numbers are integers, they are real, and they are rational. Natural numbers, by definition, are whole and non-negative numbers. Therefore,  is NOT a natural number. 

Example Question #51 : Number Theory

Which if the following is not an integer?

Possible Answers:

None of the other answers.

Correct answer:

None of the other answers.

Explanation:

Integers comprise negative numbers as well as positive numbers. Even zero is an integer. The caveat of integers is that they must be able to be expressed without fractions. They have to be whole. While   is a fraction, it is equivalent to 1, which is a whole number.

Example Question #52 : Number Theory

Which of the following is an integer?

Possible Answers:

Correct answer:

Explanation:

The correct answer will yield a whole number as a simplified answer.  Integers cannot contain decimals quantities.

The only answer that will yield a whole number term is  since simplifying this root will yield .

The correct answer is:  

Example Question #53 : Number Theory

Simplify, if possible:  

Possible Answers:

The expression is already simplified

Correct answer:

Explanation:

Combine like-terms.  

The square roots cannot be combined unless they are multiplied, which means they must be separate terms.

The answer is:  

Example Question #54 : Number Theory

Which of the following is NOT an integer?

Possible Answers:

Correct answer:

Explanation:

An integer is a whole number, or a number that is not a fraction.

Therefore, since   is a fraction, it is NOT an integer.

Example Question #55 : Number Theory

Which of the following is NOT a natural number?

Possible Answers:

Correct answer:

Explanation:

Natural numbers are numbers are referred to as counting numbers or positive integers.  When we count objects, we do not include the number zero.  Therefore, the number zero is NOT a natural number.

Example Question #56 : Number Theory

Which of the following is an integer?

Possible Answers:

Correct answer:

Explanation:

Which of the following is an integer?

An integer is any positive or negative whole number including zero.

So, the only integer provided must be "4," because no other option fits the definition.

Example Question #57 : Number Theory

Which set of numbers is considered to be whole numbers? Choose the best answer.

 

Possible Answers:

Correct answer:

Explanation:

Whole numbers are considered any positive whole number including 0.

The best answer is : 

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