Common Core: 8th Grade Math : The Number System

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

Example Question #11 : The Number System

Which of the following is an irrational number?

Possible Answers:

Correct answer:

Explanation:

An irrational number is any number that cannot be expressed as a ratio of integers.

Therefore,  is considered irrational because it cannot be expressed as a ratio of integers.

Example Question #13 : Irrational Numbers

Which of the following is an irrational number?

Possible Answers:

Correct answer:

Explanation:

A rational number is any number that can be expressed as a fraction where both the numerator and denominator are integers. The denominator also cannot be equal to 0. In this set, the irrational number is  because the There is no fraction that can be made, it's decimal goes on and on and does not repeat in a pattern. Using the fraction test, we can prove that the following numbers are rational:

Example Question #12 : The Number System

Which of the following answer choices displays a rational number?

 

Possible Answers:

Correct answer:

Explanation:

Our answer choices consist of two types of numbers: rational numbers and irrational numbers. In order to correctly answer this question, we need to know the difference between the two types of numbers. 

Rational numbers are numbers that we use most often, and can be written as a simple fraction. 

Irrational numbers cannot be written as fractions, and are numbers that have decimal places that never repeat or end. 

In this case,  is our only rational number because it can be written as a simple fraction: 

Example Question #13 : The Number System

Which of the following answer choices displays a rational number?

Possible Answers:

Correct answer:

Explanation:

Our answer choices consist of two types of numbers: rational numbers and irrational numbers. In order to correctly answer this question, we need to know the difference between the two types of numbers. 

Rational numbers are numbers that we use most often, and can be written as a simple fraction. 

Irrational numbers cannot be written as fractions, and are numbers that have decimal places that never repeat or end. 

In this case,  is our only rational number because it can be written as a simple fraction: 

Example Question #14 : The Number System

Which of the following answer choices displays a rational number?

 

Possible Answers:

Correct answer:

Explanation:

Our answer choices consist of two types of numbers: rational numbers and irrational numbers. In order to correctly answer this question, we need to know the difference between the two types of numbers. 

Rational numbers are numbers that we use most often, and can be written as a simple fraction. 

Irrational numbers cannot be written as fractions, and are numbers that have decimal places that never repeat or end. 

In this case,  is our only rational number because it is written as a simple fraction: 

 

Example Question #16 : Grade 8

Which of the following answer choices displays a rational number?

 

Possible Answers:

Correct answer:

Explanation:

Our answer choices consist of two types of numbers: rational numbers and irrational numbers. In order to correctly answer this question, we need to know the difference between the two types of numbers. 

Rational numbers are numbers that we use most often, and can be written as a simple fraction. 

Irrational numbers cannot be written as fractions, and are numbers that have decimal places that never repeat or end. 

In this case,  is our only rational number because it is equal to  which can be written as a simple fraction: 

Example Question #13 : Grade 8

Which of the following answer choices displays a rational number?

 

Possible Answers:

Correct answer:

Explanation:

Our answer choices consist of two types of numbers: rational numbers and irrational numbers. In order to correctly answer this question, we need to know the difference between the two types of numbers. 

Rational numbers are numbers that we use most often, and can be written as a simple fraction. 

Irrational numbers cannot be written as fractions, and are numbers that have decimal places that never repeat or end. 

In this case,  is our only rational number because it is equal to  which  can be written as a simple fraction: 

Example Question #14 : Grade 8

Which of the following answer choices displays a rational number?

 

Possible Answers:

Correct answer:

Explanation:

Our answer choices consist of two types of numbers: rational numbers and irrational numbers. In order to correctly answer this question, we need to know the difference between the two types of numbers. 

Rational numbers are numbers that we use most often, and can be written as a simple fraction. 

Irrational numbers cannot be written as fractions, and are numbers that have decimal places that never repeat or end. 

In this case,  is our only rational number because it can be written as a simple fraction: 

Example Question #15 : The Number System

Which of the following answer choices displays an irrational number? 

Possible Answers:

Correct answer:

Explanation:

Our answer choices consist of two types of numbers: rational numbers and irrational numbers. In order to correctly answer this question, we need to know the difference between the two types of numbers. 

Rational numbers are numbers that we use most often, and can be written as a simple fraction. 

Irrational numbers cannot be written as fractions, and are numbers that have decimal places that never repeat or end. 

In this case,  is our only irrational number because it cannot be written as a simple fraction.

Example Question #16 : The Number System

Which of the following answer choices displays an irrational number? 

Possible Answers:

Correct answer:

Explanation:

Our answer choices consist of two types of numbers: rational numbers and irrational numbers. In order to correctly answer this question, we need to know the difference between the two types of numbers. 

Rational numbers are numbers that we use most often, and can be written as a simple fraction. 

Irrational numbers cannot be written as fractions, and are numbers that have decimal places that never repeat or end. 

In this case,  is our only irrational number because it cannot be written as a simple fraction.

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