Organizing Real Numbers Worksheet
A Grade 7 Math worksheet focusing on classifying, comparing, and ordering real numbers, including rational and irrational numbers.
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Standards
Topics
Organizing Real Numbers
Name:
Date:
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Read each question carefully and follow the instructions to classify, compare, and order real numbers.
1. Which of the following numbers is an irrational number?
0.75
√9
π
-5
2. Which set of numbers contains only rational numbers?
{√2, 0, -3}
{1/2, 0.333..., √16}
{π, √7, 5}
{-1, √3, 0.2}
Fill in the blank with 'Rational' or 'Irrational'.
3. The number 0.121212... is a(n) number.
4. The number √25 is a(n) number.
5. The number -7.3458... (non-repeating, non-terminating) is a(n) number.
6. Use <, >, or = to compare the following numbers.
√10
3.1
2/3
0.66
-4
-√16
7. Order the following numbers from least to greatest.
Numbers: √5, 2.3, 7/3, 2.25
8. Order the following numbers from greatest to least.
Numbers: -0.5, -√0.25, -1/3, -0.4
9. Plot the following numbers on the number line below: -2.5, 0, 1.75, √4
10. All integers are rational numbers.
True
False
11. The product of two irrational numbers is always irrational.
True
False
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