C. Name all the sets of numbers to which
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Transcript C. Name all the sets of numbers to which
You have already compared fractions and
decimals. (Lesson 3–1)
• Identify and compare numbers in the real
number system.
• Solve equations by finding square roots.
• irrational numbers
• real numbers
Number sets
1. Natural numbers
2. Whole numbers
3. Integers
4. Rational numbers
5. Irrational numbers
How the number sets are related
Classify Real Numbers
A. Name all of the sets of numbers to which the real
number 0.246 belongs. Write whole, integer,
rational, or irrational.
Classify Real Numbers
B. Name all of the sets of numbers to which the real
number
belongs. Write whole, integer,
rational, or irrational.
Classify Real Numbers
C. Name all the sets of numbers to which the real
number –7.25 belongs. Write whole, integer, rational,
or irrational.
Classify Real Numbers
D. Name all of the sets of numbers to which the real
number
belongs. Write whole, integer, rational,
or irrational.
A. Name all the sets of numbers to which the real
number 0.380 belongs. Write whole, integer, rational,
or irrational.
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B
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B. Name all the sets of numbers to which the real
number
belongs. Write whole, integer, rational,
or irrational.
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B
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C. Name all the sets of numbers to which –2.25
belongs. Write whole, integer, rational, or irrational.
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Compare Real Numbers
Express each number as a decimal. Then compare the
decimals.
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B
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Order Real Numbers
Express each number as a decimal. Then order the
decimals.
Order Real Numbers
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Solve Equations
A. Solve w 2 = 169. Round to the nearest tenth, if
necessary.
w 2 = 169
Write the equation.
Definition of square root.
w = 13 or w = –13
Answer: The solutions are 13 and –13.
Solve Equations
B. Solve r 2 = 50. Round to the nearest tenth, if
necessary.
r 2 = 50
Write the equation.
Definition of square root.
Use a calculator.
Answer: The solutions are approximately 7.1 and –7.1.
A. Solve the equation m2 = 81. Round to the nearest
tenth, if necessary.
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B. Solve the equation h2 = 24. Round to the nearest
tenth, if necessary.
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Use Real Numbers to Solve Problems
Write the formula.
Replace R with 6.4 and A with 40.
Use Real Numbers to Solve Problems
Multiply each side by 40.
Consider only the positive
square root.
Simplify.
Answer: The wingspan is 16 feet.
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