Comparing and Ordering Real Numbers
This worksheet focuses on comparing and ordering various types of real numbers, including rational and irrational numbers, using number lines and inequalities.
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Comparing and Ordering Real Numbers
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Read each question carefully and follow the instructions. Show all your work for full credit.
1. Compare the following pairs of real numbers using <, >, or =.
a) √17 4.12
b) π 3.14159
c) -2/3 -0.67
2. Plot the following real numbers on the number line below: -1.5, √2, 0, -3/4, 2.7.
Then, write them in ascending order.
3. Fill in the blanks with 'rational' or 'irrational'.
a) The number 0.333... is a(n) number.
b) The number √9 is a(n) number.
c) The number √10 is a(n) number.
d) The sum of a rational and an irrational number is always .
4. Which of the following numbers is the smallest?
-√5
-2.2
-7/3
-2.25
5. A student claims that 1/√3 is greater than √3/3. Is the student correct? Justify your answer.
6. True or False: Every integer is a rational number.
True
False
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