Over Lesson 10–1 A. A B. B C. C D. D The area of a square is 200 cm 2 . Estimate the length of a side of the square.
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Over Lesson 10–1
A. A
B. B
C. C
D. D
The area of a square is 200 cm2. Estimate the length of a side of the square.
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.
A long time ago in a galaxy far, far away…wrong slide show (just a long time ago, someone created numbers)• Natural Number (Counting Numbers) – 1,2,3,…• Whole Numbers – 0,1,2,3,…• Integers – …-3,-2,-1,0,1,2,3,…• Rational Numbers – numbers that can be fractions
(⅓, .375, etc)• Irrational Numbers – numbers that cannot be fractions
( , π, etc)• Real Numbers – both Rational and Irrational Numbers
Real Number
Rational Numbers
Irrational Numbers
Whole Numbers
Natural Numbers
Integers
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.
Answer: This decimal is a rational number because its
digits repeat. It is equivalent to
Classify Real Numbers
Answer: Since this number is a whole number, an integer, and a rational number.
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.
Answer:
Classify Real Numbers
D. Name all of the sets of numbers to which the real number belongs. Write whole, integer, rational, or irrational.
Answer:
Order Real Numbers
Express each number as a decimal. Then order the decimals.
Solve Equations
A. Solve w 2 = 169. Round to the nearest tenth, if
necessary.
w 2 = 169 Write the
equation.
Answer: The solutions are 13 and –13.
Definition of square root.
w = 13 or w = –13
Solve Equations
B. Solve r 2 = 50. Round to the nearest tenth, if
necessary.
r 2 = 50 Write the
equation.
Answer: The solutions are approximately 7.1 and –7.1.
Definition of square root.
Use a calculator.
A. A
B. B
C. C
D. D
A. 8
B. 8 and –8
C. 9
D. 9 and –9
A. Solve the equation m2 = 81. Round to the nearest tenth, if necessary.
A. A
B. B
C. C
D. D
A. 4.8 and –4.8
B. 4.9
C. 4.9 and –4.9
D. 5 and –5
B. Solve the equation h2 = 24. Round to the nearest tenth, if necessary.
Use Real Numbers to Solve Problems
Write the formula.
Replace R with 6.4 and A with 40.
Use Real Numbers to Solve Problems
Answer: The wingspan is 16 feet.
Multiply each side by 40.
Consider only the positivesquare root.
Simplify.
A. A
B. B
C. C
D. D
A. 7.1 ft
B. 9.9 ft
C. 14 ft
D. 98 ft
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