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Over Lesson 10–1
The area of a square is 200 cm2. Estimate the
A.
length of a side of the square.
A
B. B
C. C
D. D
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)
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
• Natural
Real
Number
Rational
Numbers
Integers
Whole
Numbers
Natural
Numbers
Irrational
Numbers
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
B. Name all of the sets of numbers to which the real
number
belongs. Write whole, integer,
rational, or irrational.
Answer: Since
this number is a whole
number, an integer, and a rational number.
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.
Order Real Numbers
A.
B.
C.
D.
A.
B.
C.
D.
A
B
C
D
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.
A. 8
B. 8 and –8
C. 9
D. 9 and –9
A.
B.
C.
D.
A
B
C
D
B. Solve the equation h2 = 24. Round to the nearest
tenth, if necessary.
A. 4.8 and –4.8
B. 4.9
C. 4.9 and –4.9
D. 5 and –5
A.
B.
C.
D.
A
B
C
D
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.
A. 7.1 ft
B. 9.9 ft
C. 14 ft
D. 98 ft
A.
B.
C.
D.
A
B
C
D