Transcript 10-2The_Real_Number_System

Five-Minute Check (over Lesson 10–1)
Then/Now
New Vocabulary
Key Concept: Irrational Number
Example 1: Classify Real Numbers
Example 2: Compare Real Numbers
Example 3: Order Real Numbers
Example 4: Solve Equations
Example 5: Real-World Example: Use Real Numbers to
Solve Problems
Over Lesson 10–1
A.
B.
C. 6
D. 7
Over Lesson 10–1
A. 9
B. 10
C. 11
D. 12
Over Lesson 10–1
A. –9
B. –8
C. 7
D. 8
Over Lesson 10–1
A. 7
B. 8
C. 9
D. 10
Over Lesson 10–1
The area of a square is 200 cm2. Estimate the
length of a side of the square.
A. 12 cm
B. 14 cm
C. 15 cm
D. 20 cm
Over Lesson 10–1
A. 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.
• irrational numbers
• real 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:
A. Name all the sets of numbers to which the real
number 0.380 belongs. Write whole, integer, rational,
or irrational.
A. rational number
B. irrational number
C. integer, rational number
D. whole number
B. Name all the sets of numbers to which the real
number
belongs. Write whole, integer, rational,
or irrational.
A. rational number
B. irrational number
C. integer, rational number
D. whole number
C. Name all the sets of numbers to which –2.25
belongs. Write whole, integer, rational, or irrational.
A. rational
B. whole, integer, rational
C. whole, integer
D. irrational
D. Name all the sets of numbers to which
belongs. Write whole, integer, rational, or irrational.
A. rational
B. whole, integer, rational
C. whole, integer
D. irrational
Compare Real Numbers
Express each number as a decimal. Then compare the
decimals.
Compare Real Numbers
A. <
B. >
C. =
D. none of the above
Order Real Numbers
Express each number as a decimal. Then order the
decimals.
Order Real Numbers
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
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
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