Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #7 : How To Define Integers In Pre Algebra

is an example of _____________.

Possible Answers:

a decimal

an integer

a fraction

an irrational number

a complex number

Correct answer:

an integer

Explanation:

An integer is any positive or negative whole number.

Therefore, is an integer.

Example Question #8 : How To Define Integers In Pre Algebra

Which of the following is not an integer? 

Possible Answers:

Correct answer:

Explanation:

Integers are all counting numbers, and include both  and all negative counting numbers. Thus, keeping this definition in mind, we can see that the value which is not an integer is  since it has digits after the decimal point. 

Example Question #951 : Pre Algebra

What do you get when you add two negative integers?

Possible Answers:

Always positive

Sometimes negative

Sometimes positive

zero

Always negative

Correct answer:

Always negative

Explanation:

When you add two negative numbers, the answer is always negative. When adding negative numbers, we treat as an addition problem but we need to add the negative sign afterwards. Two negative numbers can never add to zero. 

Example Question #952 : Pre Algebra

Which is a rational number?

Possible Answers:

Correct answer:

Explanation:

All the numbers are irrational numbers. They are basically numbers that can't be expressed as fractions. They dont have definite values.  is an imaginary number that contains the letter .

Example Question #953 : Pre Algebra

What is an integer?

 

Possible Answers:

Just numbers from one to ten. 

A number that can either be positive, negative or zero and must be a whole number.

Only positive numbers. 

Only negative numbers.

Any number. 

Correct answer:

A number that can either be positive, negative or zero and must be a whole number.

Explanation:

An integer is a number that is whole and doesn't have a decimal or a fraction. The number can be positive, negative, or zero. 

Example Question #954 : Pre Algebra

Which of the following is NOT an integer?

Possible Answers:

Correct answer:

Explanation:

An integer is a number that has no decimals or fractions. They must be whole numbers whether positive, negative or zero.  is an irrational number which means it doesn't have a definite value. All the other choices have definite value. 

Example Question #25 : Number Theory

What's a natural number?

Possible Answers:

Positive integers only

Imaginary numbers

Negative integers only

Positive integers and zero

Negative integers and zero

Correct answer:

Positive integers and zero

Explanation:

Natural numbers are numbers that occur naturally meaning they range from zero onwards. Negative numbers dont occur naturally. 

Example Question #26 : Number Theory

What are counting numbers?

Possible Answers:

Negative integers

Irrational numbers

Zero

Positive integers

Natural numbers

Correct answer:

Positive integers

Explanation:

Counting numbers are numbers you can count with your hands. We start from one and onward. They are the same as positive integers. 

Example Question #955 : Pre Algebra

What are prime numbers?

Possible Answers:

Negative integers that have a factor of  and itself

Number with multiple factors besides one and itself

Trignometric functions

All fractional numbers

Numbers that have a factor of one and itself

Correct answer:

Numbers that have a factor of one and itself

Explanation:

Example of prime numbers are . Their factors are one and itself. They are also positive integers. 

Example Question #22 : Integers And Types Of Numbers

Which is a prime number?

Possible Answers:

Correct answer:

Explanation:

A prime number is a number that havs factors of one and itself. Let's eliminate some choices.

A number divisible by  will have a ones digit of  or . So we eliminate 

Even numbers are having ones digit end in . So we eliminate 

For the remaining , let's try the divisibility rule of . The sum of the digits add up to a multiply of  is diisible by 

 This is good. 

 This is divisible by 

 This fails as this is our answer. 

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