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Common Core: 8th Grade Math : Compare the Size of Irrational Numbers and Place them on a Number Line: CCSS.Math.Content.8.NS.A.2

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Example Questions

Example Question #1 : 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 $\sqrt{107}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we can think of perfect squares around $\sqrt{107}$

$\sqrt{100}=10$

$\sqrt{121}=11$

This means that $\sqrt{107}$ has to be between and on the number line, but closer to because 107 is closer to 100 than 121 . Based on the number line provided, point L is the best representation of $\sqrt{107}$

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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 $\sqrt{2}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we first need to know what number $\sqrt{2}$ represents:

$\sqrt{2}=1.41421..$

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 $\sqrt{2}$

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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 $\sqrt{4}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we first need to know what number $\sqrt{4}$ 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 $\sqrt{4}$

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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 $\sqrt{16}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we first need to know what number $\sqrt{16}$ 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 $\sqrt{16}$

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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 $\sqrt{20}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we can think of perfect squares around $\sqrt{20}$

$\sqrt{16}=4$

$\sqrt{25}=5$

This means that $\sqrt{20}$ has to be between and on the number line. Based on the number line provided, point E is the best representation of $\sqrt{20}$

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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 $\sqrt{43}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we can think of perfect squares around $\sqrt{43}$

$\sqrt{36}=6$

$\sqrt{49}=7$

This means that $\sqrt{43}$ has to be between and on the number line. Based on the number line provided, point F is the best representation of $\sqrt{43}$

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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 $\sqrt{49}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we first need to know what number $\sqrt{49}$ represents:

We are looking for a point on the number line that is on . Based on the number line provided, point G is the best representation of $\sqrt{49}$

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Example Question #7 : 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 $\sqrt{51}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we can think of perfect squares around $\sqrt{51}$

$\sqrt{49}=7$

$\sqrt{64}=8$

This means that $\sqrt{51}$ has to be between and on the number line, but closer to because is closer to than . Based on the number line provided, point H is the best representation of $\sqrt{51}$

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Example Question #8 : 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 $\sqrt{60}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we can think of perfect squares around $\sqrt{60}$

$\sqrt{49}=7$

$\sqrt{64}=8$

This means that $\sqrt{60}$ has to be between and on the number line, but closer to because is closer to than . Based on the number line provided, point I is the best representation of $\sqrt{60}$

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Example Question #9 : 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 $\sqrt{72}?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we can think of perfect squares around $\sqrt{72}$

$\sqrt{64}=8$

$\sqrt{81}=9$

This means that $\sqrt{72}$ has to be between and on the number line. Based on the number line provided, point J is the best representation of $\sqrt{72}$

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Common Core: 8th Grade Math : Compare the Size of Irrational Numbers and Place them on a Number Line: CCSS.Math.Content.8.NS.A.2

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

All Common Core: 8th Grade Math Resources

Example Questions

Example Question #1 : Compare The Size Of Irrational Numbers And Place Them On A Number Line: Ccss.Math.Content.8.Ns.A.2

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

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

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

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

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

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

Example Question #7 : Compare The Size Of Irrational Numbers And Place Them On A Number Line: Ccss.Math.Content.8.Ns.A.2

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

Example Question #9 : Compare The Size Of Irrational Numbers And Place Them On A Number Line: Ccss.Math.Content.8.Ns.A.2

All Common Core: 8th Grade Math Resources

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