Organizing Real Numbers
A Grade 8 math worksheet focusing on classifying and ordering real numbers, including rational and irrational numbers.
Includes
Standards
Topics
Organizing Real Numbers
Name:
Date:
Score:
Read each question carefully and follow the instructions. Show your work where necessary.
1. Which of the following numbers is irrational?
√25
0.333...
π
-7
2. Which set of numbers contains only rational numbers?
{√3, 0.5, -2}
{1/2, 0.75, √4}
{π, 0.12122..., 9}
{-10, √5, 1.6}
Fill in the blank with 'rational' or 'irrational'.
3. The number 0.12345... (non-repeating, non-terminating) is .
4. The number -3/4 is a number.
5. The square root of 49 is a number.
6. Order the following numbers from least to greatest: √16, 4.5, -3, 9/2.
7. Plot the following numbers on the number line below: -2.5, √9, 1/2, -4.
8. All integers are rational numbers.
True
False
9. The product of two irrational numbers is always irrational.
True
False
10. Explain the difference between a rational and an irrational number, providing an example of each.
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