Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #33 : Integers And Types Of Numbers

What kind of number is ?

I. rational

II. irrational

III. integer

IV. imaginary

V. composite

Possible Answers:

III and V only

II, IV

I, III, V

and III only

II only

Correct answer:

I, III, V

Explanation:

Even though it's a radical, we can simplify.

Check the answer.

The answer is 

 is an integer and a composite number with factors of . Furthermore, it can be expressed a rational number .

Thus, the final answer is I, III, V.

Example Question #971 : Pre Algebra

Which is a square number?

Possible Answers:

Correct answer:

Explanation:

Square numbers have one factor. If that factor is multiplied by itself, then the number becomes a perfect square. The only number in the selection that meets this requirement is . We can multiply  twice to get the perfect square

Example Question #972 : Pre Algebra

What are odd numbers?

Possible Answers:

Integers that have a ones digit that ends in , or  

Integers that have a ones digit that ends in , or  

Integers that have a ones digit that ends in , or 

All the digits of the integer must have , or   

Integers that have a ones digit that ends in , or  

Correct answer:

Integers that have a ones digit that ends in , or 

Explanation:

In order to determine if a number is odd, we will check the ones digit. It must contain , or . The answer is integers that have a ones digit that ends in , or 

Example Question #34 : Integers And Types Of Numbers

What number is found in the set of whole numbers but not in the set of natural numbers?

Possible Answers:

Correct answer:

Explanation:

Whole numbers start from  and include all positive integers. On the other hand, natural numbers are all positive integers that we can count starting from . The only difference is that  is found in whole numbers but not in the natural numbers series. Thus,  is the correct answer. 

Example Question #37 : Integers And Types Of Numbers

Which of the following is an odd number?

I. 

II. 

III. 

IV. 

V. 

Possible Answers:

II, III, V

II, V

I, III, IV

I, III, V

II, III, IV

Correct answer:

II, III, V

Explanation:

Odd numbers are integers that have a ones digit that ends in , or . Choices II, III, V  are odd numbers because they have a ones digit of , and  respectively. 

Example Question #973 : Pre Algebra

What is the product of two nonidentical prime numbers?

Possible Answers:

Composite number

Zero

Cubic number

Square number

Prime number

Correct answer:

Composite number

Explanation:

When you take two prime numbers, you are creating a composite number. A compositie number has at least one more factor than one and itself. Since you multiply two prime numbers, you are increasing the factors of the new number. 

Example Question #974 : Pre Algebra

What do you get when you divide two negative integers?

Possible Answers:

One

Irrational number

Integers

Rational numbers

Zero

Correct answer:

Rational numbers

Explanation:

For example, we can take the negative integers  and . When we divide , we get an answer of . This is an integer and a rational number. However, if we reverse it , we get an answer of . This is not an integer but it is a rational number. Integers can be rational numbers as they are expressed as any number over one. Futhermore, rational numbers are defined as the expression of any quotient or fraction possessing a non-zero denominator. Thus, our answer is rational numbers. 

Example Question #40 : Integers And Types Of Numbers

Given the following set of numbers:

Which numbers in the set are whole numbers?

Possible Answers:

Correct answer:

Explanation:

A whole number is any number without a fraction or decimal, but negative numbers are NOT whole numbers. Therefore, the only correct choices from this set are  and , which are neither negative nor have decimals. 

Example Question #975 : Pre Algebra

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

Possible Answers:

Integer

Rational

Real

Negative

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 #976 : Pre Algebra

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.

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