Comparing and Ordering Real Numbers
This worksheet focuses on comparing and ordering various types of real numbers, including rational and irrational numbers, for Grade 11 students.
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Comparing and Ordering Real Numbers
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Which of the following numbers is irrational?
√49
3/5
π
-0.25
2. Which inequality correctly compares the numbers 2√3 and √10?
2√3 < √10
2√3 > √10
2√3 = √10
Cannot be determined
3. The number √17 is between the integers and .
4. When comparing two negative numbers, the number closer to zero is .
5. Order the following numbers from least to greatest: 0.75, 2/3, √0.5, 7/10.
6. Plot the numbers -2.5, 0, √3, and -4/3 on the number line below.
7. All rational numbers are real numbers.
True
False
8. The product of two irrational numbers is always irrational.
True
False
Match each number to its correct classification.
9. -5
a. Irrational Number
10. √2
b. Rational Number
11. 0.333...
c. Integer