Estimating Square Roots | Mathematics

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Estimating Square Roots

6th - 8th grade

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Mathematics

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Slide 1
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Estimating Square Roots
Use your understanding of perfect square numbers and their square roots to estimate non-perfect square numbers.
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Slide 2
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Estimating Square Roots
Determine which two integers the evaluated square root would be between. Perfect square numbers will help you to estimate.
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Question 3
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Q.
What two integers is $\sqrt{5}$ between?
answer choices
3 & 4
1 & 2
0 & 1
2 & 3
3 & 4
alternatives
1 & 2
0 & 1
2 & 3
answer explanation
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Slide 4
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$\sqrt{5}$ would land between $\sqrt{4}$ and $\sqrt{9}$
So the integers would be between 2 & 3.
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Slide 5
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Notice where it lands in between.
Its closer to the integer 2 because
$\sqrt{5}$ is closer to $\sqrt{4}$
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Question 6
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What two integers is $-\sqrt{17}$ between?
answer choices
-16 & -17
-4 & -5
-3 & -4
-5 & -6
-16 & -17
alternatives
-4 & -5
-3 & -4
-5 & -6
answer explanation
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Slide 7
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$-\sqrt{17}$ would land between $-\sqrt{16}$ and $-\sqrt{25}$
So the integers would be between -4 & -5.
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Slide 8
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Notice where it lands in between.
Its closer to the integer -4 because
$-\sqrt{17}$ is closer to $-\sqrt{16}$
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Question 9
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What two integers is $\sqrt{89}$ between?
answer choices
85 & 90
7 & 8
8 & 9
9 & 10
85 & 90
alternatives
7 & 8
8 & 9
9 & 10
answer explanation
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Slide 10
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$\sqrt{89}$ is between $\sqrt{81}$ & $\sqrt{100}$
So the integers were 9 & 10
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Question 11
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What two integers is $\sqrt{250}$ between?
answer choices
15 & 16
16 & 17
18 & 19
14 & 15
15 & 16
alternatives
16 & 17
18 & 19
14 & 15
answer explanation
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Slide 12
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$\sqrt{250}$ is between $\sqrt{225}$ & $\sqrt{256}$
So the integers were 15 & 16
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Question 13
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What two integers is $\sqrt{150}$ between?
answer choices
10 & 11
11 & 12
12 & 13
13 & 14
10 & 11
alternatives
11 & 12
12 & 13
13 & 14
answer explanation
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Slide 14
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$\sqrt{150}$ is between $\sqrt{144}$ & $\sqrt{169}$
So the integers were 12 & 13
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Slide 15
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Let's try some fill in the blanks.
Switch it up a little.
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Question 16
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Q.
What two integers is $\sqrt{75}$ between?
answer
8 & 9
8 and 9
8 & 9
8 and 9
8 & 9
alternatives
8 and 9
8 & 9
8 and 9
answer explanation
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Question 17
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What two integers is $\sqrt{389}$ between?
answer
19 & 20
19 and 20
19 & 20
19 and 20
19 & 20
alternatives
19 and 20
19 & 20
19 and 20
answer explanation
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Question 18
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What two integers is $-\sqrt{47}$ between?
answer
-6 & -7
-6 and -7
-6 & -7
-6 and -7
-6 & -7
alternatives
-6 and -7
-6 & -7
-6 and -7
answer explanation
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Question 19
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Q.
On a scale of 1 to 5, how do you feel about estimating square roots?
no correct answer
5 (I understand it perfectly)
4 (I understand it pretty well)
3 (I think I get it but I need a little more practice)
2 (I kind of get it a little)
1 (I have no idea)
5 (I understand it perfectly)
alternatives
4 (I understand it pretty well)
3 (I think I get it but I need a little more practice)
2 (I kind of get it a little)
1 (I have no idea)
answer explanation
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Question 20
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Q.
Explain in your own words, how do you estimate the integers the square root lands between?
no correct answer

alternatives
answer explanation
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