Irrational Numbers Worksheet
Explore and identify irrational numbers, differentiate them from rational numbers, and approximate their values on a number line.
Includes
Standards
Topics
Irrational Numbers Exploration
Name:
Date:
Score:
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 is an irrational number?
0.333...
√9
π
2/5
2. The square root of which number is irrational?
16
49
12
100
1. All irrational numbers are also real numbers.
True
False
2. The product of two irrational numbers is always irrational.
True
False
1. An irrational number is a real number that cannot be expressed as a simple .
2. The decimal representation of an irrational number is non-terminating and non- .
1. Explain the difference between a rational and an irrational number, providing an example for each.
1. Approximate the location of √2 on the number line below. Mark and label your approximation.
Use the words below to complete the sentences.
1. The number 0.75 is a number because its decimal representation is .
2. Pi (π) is an example of an number because its decimal representation is non-terminating and .
Related Worksheets
Expanded Notation Worksheet - Grade 9
Practice worksheet for Grade 9 students focusing on expanded notation of whole numbers and decimals.
Number Bases Worksheet
Explore different number bases including binary, octal, decimal, and hexadecimal with conversion and arithmetic exercises for Grade 9 students.
Comparing Rational Numbers
A Grade 9 math worksheet focusing on comparing and ordering rational numbers using various methods.
Positive and Negative Integers Worksheet
Grade 9 math worksheet focusing on operations with positive and negative integers, including addition, subtraction, multiplication, division, and number line representation.
Properties of Real Numbers
Explore and apply the fundamental properties of real numbers including commutative, associative, distributive, identity, and inverse properties.
Operations with Negative Numbers
This worksheet focuses on developing proficiency in adding, subtracting, multiplying, and dividing negative numbers for Grade 9 students.
Power of a Product Worksheet
Grade 9 Math worksheet focusing on understanding and applying the power of a product rule for exponents.
Reciprocals Worksheet
A Grade 9 Math worksheet focusing on understanding and calculating reciprocals of various numbers, including fractions, decimals, and mixed numbers.