Classifying Real Numbers Worksheet
Identify and classify real numbers as rational or irrational, and further categorize them into integers, whole numbers, and natural numbers.
Includes
Standards
Topics
Classifying Real Numbers
Name:
Date:
Score:
Read each question carefully and classify the given numbers according to the real number system. Use the provided word bank to fill in the blanks.
1. All numbers can be written as a fraction p/q, where p and q are integers and q is not zero.
2. Numbers that cannot be expressed as a simple fraction are called numbers.
3. The set of numbers includes all positive and negative whole numbers, including zero.
4. numbers are the non-negative integers (0, 1, 2, 3, ...).
5. The counting numbers (1, 2, 3, ...) are also known as numbers.
6. Which of the following is an irrational number?
0.333...
√9
π
-5
7. Which set of numbers does -7 belong to?
Natural numbers only
Whole numbers only
Integers and Rational numbers
Irrational numbers
8. All integers are also whole numbers.
True
False
9. Every natural number is also a rational number.
True
False
10. Place the following numbers on the number line provided: -2.5, 0, 1/2, √4, -4
11. Explain in your own words the difference between a rational and an irrational number. Provide an example for each.
Related Worksheets
Properties of Exponents Worksheet
This worksheet covers the fundamental properties of exponents, including product rule, quotient rule, power rule, zero exponent rule, and negative exponent rule, suitable for Grade 10 students.
Grade 10 Exponentiation Worksheet
This worksheet covers fundamental concepts and applications of exponentiation for Grade 10 students, including properties of exponents, negative and zero exponents, and scientific notation.
Negative and Fractional Indices Worksheet
Grade 10 Math worksheet focusing on understanding and applying negative and fractional indices.
Real Number System - Grade 10 Math
Explore the real number system, including rational and irrational numbers, properties, and operations on real numbers.