Comparing and Ordering Real Numbers
A Grade 9 math worksheet focusing on comparing and ordering various types of real numbers, including integers, fractions, decimals, and irrational numbers.
Includes
Standards
Topics
Comparing and Ordering Real Numbers
Name:
Date:
Score:
Read each question carefully and follow the instructions to compare and order the given real numbers.
1. Which of the following numbers is the smallest?
-3.14
-π
-3.141
-3.15
2. Which symbol correctly compares 1/3 and 0.33?
>
<
=
≥
3. The number √16 is a number because it can be written as a simple fraction.
4. When comparing 5/8 and 0.6, 5/8 is than 0.6.
5. Order the following numbers from least to greatest: -0.5, -1/4, 0, √0.25, 1.
6. Plot the numbers -2.5, 3/2, and √3 on the number line below.
7. The number 0.777... (repeating) is an irrational number.
True
False
8. All integers are also rational numbers.
True
False
Match each number type with an example.
9. Rational Number
a. √7
10. Irrational Number
b. -5
11. Integer
c. 2/3
12. Explain why √2 is an irrational number and cannot be expressed as a simple fraction.
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