Common Core: 8th Grade Math : Grade 8

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

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Example Questions

Example Question #21 : Grade 8

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 #22 : Grade 8

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 #23 : Grade 8

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 #24 : Grade 8

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 simple 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 #25 : Grade 8

Which point on the number line best represents 

1

Possible Answers:

K

M

J

L

Correct answer:

L

Explanation:

To solve this problem, we can think of perfect squares around 

This means that  has to be between  and  on the number line, but closer to  because  is closer to  than . Based on the number line provided, point L is the best representation of 

Example Question #2 : Compare The Size Of Irrational Numbers And Place Them On A Number Line: Ccss.Math.Content.8.Ns.A.2

Which point on the number line best represents 

 1

Possible Answers:

C

D

A

B

Correct answer:

A

Explanation:

To solve this problem, we first need to know what number  represents:

 

We are looking for a point on the number line that is between  and , about right between them. Based on the number line provided, point A is the best representation of 

Example Question #3 : Compare The Size Of Irrational Numbers And Place Them On A Number Line: Ccss.Math.Content.8.Ns.A.2

Which point on the number line best represents 

 1

Possible Answers:

B

D

C

A

Correct answer:

B

Explanation:

To solve this problem, we first need to know what number  represents:

We are looking for a point on the number line that is on . Based on the number line provided, point B is the best representation of 

Example Question #4 : Compare The Size Of Irrational Numbers And Place Them On A Number Line: Ccss.Math.Content.8.Ns.A.2

Which point on the number line best represents 

1

Possible Answers:

B

C

D

A

Correct answer:

D

Explanation:

To solve this problem, we first need to know what number  represents:

We are looking for a point on the number line that is on . Based on the number line provided, point D is the best representation of 

Example Question #5 : Compare The Size Of Irrational Numbers And Place Them On A Number Line: Ccss.Math.Content.8.Ns.A.2

Which point on the number line best represents 

1

Possible Answers:

F

E

G

H

Correct answer:

E

Explanation:

To solve this problem, we can think of perfect squares around 

This means that  has to be between  and  on the number line. Based on the number line provided, point E is the best representation of 

Example Question #6 : Compare The Size Of Irrational Numbers And Place Them On A Number Line: Ccss.Math.Content.8.Ns.A.2

Which point on the number line best represents 

 1

Possible Answers:

H

E

F

G

Correct answer:

F

Explanation:

To solve this problem, we can think of perfect squares around 

This means that  has to be between  and  on the number line. Based on the number line provided, point F is the best representation of 

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