Classifying Real Numbers - Grade 9
A Grade 9 worksheet to practice classifying real numbers, including rational, irrational, integers, whole, and natural numbers.
Includes
Standards
Topics
Classifying Real Numbers
Name:
Date:
Score:
Read each question carefully and provide the best answer. Classify each number into the most specific category (Natural, Whole, Integer, Rational, or Irrational).
1. Which of the following numbers is an irrational number?
-5
1/3
√7
0.25
2. Which set of numbers includes all integers, but not all rational numbers?
Natural Numbers
Whole Numbers
Irrational Numbers
Real Numbers
3. The set of numbers {1, 2, 3, ...} are called the numbers.
4. Any number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is a number.
5. The number π (pi) is an example of an number.
6. Classify the number -10 as precisely as possible (e.g., Natural, Whole, Integer, Rational, Irrational).
7. Explain why 0 is considered a whole number but not a natural number.
8. All integers are also rational numbers.
True
False
9. The square root of any non-perfect square is an irrational number.
True
False
10. Plot the following numbers on the number line provided: -2.5, 0, 1/2, √4, -4