Organizing Real Numbers
A Grade 9 math worksheet focusing on classifying and ordering real numbers, including rational and irrational numbers.
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Standards
Topics
Organizing Real Numbers
Name:
Date:
Score:
Carefully read each question and follow the instructions. Show all your work where applicable.
Use the words in the bank to classify each number as precisely as possible.
1. 5:
2. -7:
3. 0.333...:
4. π:
5. √16:
6. √7:
7. 2/3:
Determine if each statement is True or False.
1. All integers are natural numbers.
True
False
2. Every rational number can be written as a fraction p/q where q ≠ 0.
True
False
3. The square root of any prime number is an irrational number.
True
False
Order the following sets of numbers from least to greatest.
1. √9, π, 3.5, 3
2. -2/3, -0.7, -√0.25, -1
Plot the following numbers on the number line provided: -2, 0, 1.5, √4, -1/2
1. Which of the following numbers is an irrational number?
0.75
√64
√10
-5
2. Which set of numbers contains only rational numbers?
{√2, 3, 0}
{-5, 1/3, 0.22}
{π, √9, -4}
{√7, -1, 0.5}
Explain the difference between a rational and an irrational number, providing an example of each.