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

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

Questions 1 - 10

Which point on the number line best represents $\sqrt{43}?$

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 $\sqrt{43}$

Which point on the number line best represents $\sqrt{4}?$

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 $\sqrt{4}$

Which point on the number line best represents $\sqrt{60}?$

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 $\sqrt{60}$

Which point on the number line best represents $\pi?$

Explanation

To solve this problem, we first need to know what number the symbol $\pi$ represents:

$\pi=3.14...$

We are looking for a point on the number line that is between and , but much closer to . Based on the number line provided, point C is the best representation of $\pi$

Which point on the number line best represents $\sqrt{51}?$

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 $\sqrt{51}$

Which point on the number line best represents $\sqrt{49}?$

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 $\sqrt{49}$

Which point on the number line best represents $\sqrt{107}?$

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 is closer to than . Based on the number line provided, point L is the best representation of $\sqrt{107}$

Which point on the number line best represents $\sqrt{81}?$

Explanation

To solve this problem, we first need to know what number $\sqrt{81}$ represents:

We are looking for a point on the number line that is on . Based on the number line provided, point K is the best representation of $\sqrt{81}$

Which point on the number line best represents $\sqrt{72}?$

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 $\sqrt{72}$

Which point on the number line best represents $\sqrt{2}?$

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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