Real Number System - Grade 10 Math
Explore the real number system, including rational and irrational numbers, properties, and operations on real numbers.
Includes
Standards
Real Number System
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following numbers is irrational?
0.333...
√9
π
-7
2. The set of all rational and irrational numbers is called the .
3. A number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is a number.
4. Plot the following numbers on the number line below: -2.5, 0, √4, 1/2.
Explanation for plotting:
5. The product of two irrational numbers is always irrational.
True
False
Match each number type with its definition.
6. Natural Numbers
a. Numbers that can be written as a fraction.
7. Integers
b. Counting numbers (1, 2, 3...).
8. Rational Numbers
c. Whole numbers and their opposites (..., -1, 0, 1,...).
9. Determine if the sum of a rational number and an irrational number is always rational, always irrational, or sometimes rational and sometimes irrational. Explain your reasoning.
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