Irrational Plotting Worksheet
Grade 8 • The Real Number System
Irrational Numbers on the Number Line
Name:
Date:
Part 1 Directions: Approximate each value in the workspace provided. Then, plot and label all four points (A, B, C, D) on the number line.
Page 1 of 2
1 Values to Plot:
A: \(\sqrt{7}\) B: \(\pi\) C: \(180\%\) D: \(\sqrt{17}\)
Work for A (\(\sqrt{7}\)):
A \(\approx\) ______
Work for B (\(\pi\)):
B \(\approx\) ______
Work for C (\(180\%\)):
C = ______
Work for D (\(\sqrt{17}\)):
D \(\approx\) ______
0 1 2 3 4 5
2 Values to Plot:
A: \(2\pi\) B: \(\sqrt{20}\) C: \(350\%\) D: \(\sqrt{32}\)
Work for A (\(2\pi\)):
A \(\approx\) ______
Work for B (\(\sqrt{20}\)):
B \(\approx\) ______
Work for C (\(350\%\)):
C = ______
Work for D (\(\sqrt{32}\)):
D \(\approx\) ______
2 3 4 5 6 7
3 Values to Plot:
A: \(\sqrt{3}\) B: \(\frac{\pi}{2}\) C: \(290\%\) D: \(\sqrt{13}\)
Work for A (\(\sqrt{3}\)):
A \(\approx\) ______
Work for B (\(\frac{\pi}{2}\)):
B \(\approx\) ______
Work for C (\(290\%\)):
C = ______
Work for D (\(\sqrt{13}\)):
D \(\approx\) ______
0 1 2 3 4
4 Values to Plot:
A: \(\sqrt{45}\) B: \(\pi + 2\) C: \(420\%\) D: \(\sqrt{55}\)
Work for A (\(\sqrt{45}\)):
A \(\approx\) ______
Work for B (\(\pi + 2\)):
B \(\approx\) ______
Work for C (\(420\%\)):
C = ______
Work for D (\(\sqrt{55}\)):
D \(\approx\) ______
3 4 5 6 7 8
Grade 8 • The Real Number System
Part 2: Number Line Analysis & Comparisons
Name:
Page 2 of 2
Part 2 Directions: Evaluate each statement or comparison using rational approximations. Show your reasoning in the scratch work area, then mark True or False.
5 The number line shows four points labeled \(A, B, C,\) and \(D\).
A 3 B 4 C 5 D 6
| Statement | True | False |
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| The value of \(\sqrt{19}\) is between points \(A\) and \(B\). | | |
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| The value of \(\pi + 1\) is to the left of point \(B\). |
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| The value of \(520\%\) is between points \(C\) and \(D\). |
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Scratch Work:
6 The number line shows four points labeled \(A, B, C,\) and \(D\).
A 5 B 6 C 7 D 8
| Statement | True | False |
|---|
| The value of \(2\pi\) is to the right of point \(B\). | | |
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| The value of \(\sqrt{52}\) is between points \(C\) and \(D\). |
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| The value of point \(A\) is greater than \(480\%\). |
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Scratch Work:
7 Determine whether each comparison is True or False.
| Comparison | True | False |
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| \(5 > \sqrt{27}\) | | |
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| \(3\pi < 10\) |
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| \(\sqrt{8} > 260\%\) |
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Scratch Work:
8 Determine whether each comparison is True or False.
| Comparison | True | False |
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| \(\pi + 3 > \sqrt{38}\) | | |
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| \(450\% > \sqrt{21}\) |
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| \(\frac{\pi}{2} < 160\%\) |
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Scratch Work:
