chapter 3, lesson 3-4 the real number system
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Chapter 3, Lesson 3-4 The Real Number System. Find. (over Lesson 3-1). A. 81 B. 18 C. 9 D. 3. (over Lesson 3-1). Find the positive square root of 36. A. 6 B. 9 C. 12 D. 18. Estimate to the nearest whole number.. (over Lesson 3-2). A. 5 B. 6 C. 7 D. 8. - PowerPoint PPT PresentationTRANSCRIPT
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Chapter 3, Lesson 3-4The Real
Number System
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A. 81
B. 18
C. 9
D. 3
(over Lesson 3-1)
Find
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Find the positive square root of 36.
A. 6
B. 9
C. 12
D. 18
(over Lesson 3-1)
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A. 5
B. 6
C. 7
D. 8
(over Lesson 3-2)
Estimate to the nearest whole number.
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A. 6
B. 7
C. 8
D. 9
(over Lesson 3-2)
Estimate to the nearest whole number.
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Estimate the solution of x2 = 102 to the nearest integer.
A. 9 ± 4
B. 10 ± 5
C. -9.5± 10
D. 10.5 ± 11
(over Lesson 3-2)
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Please take a moment toget a calculator for this lesson
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• irrational number
• real number
• Identify and classify numbers in the real number system.IIdentify and classify numbers in the real number system.
Rational number
Irrational number
Whole number
Integer
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7NS1.4 Differentiate between rational and irrational numbers.
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RealNumber
Whole Number Integer Rational Irrational
4.83
12/4
✔✔
✔ ✔ ✔✔
✔✔
✔✔✔
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Here’s a Number by Number Breakdown
The square root of 67 is 8.1853527..., a non-terminating decimal, therefore it is an irrational number.
The decimal portion of this number, .13131313 repeats, therefore it is a rational number.The negative square root of 64 is -8 a whole number, and an integer, therefore it is a rational number.
The decimal portion of this number is non-terminating. Therefore it is an irrational number.
4.83 The decimal portion of this number terminates, therefore it is a rational number.
The negative square root of 90 is -9.4868329…, a non-terminating decimal, therefore it is an irrational number.
12/4 The fraction simplifies to 3, therefore it is a whole number, an integer, and a rational number.
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Real numbers follow the properties that are true forwhole numbers, integers, and rational numbers.
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Take a moment to create this flow chart:
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The Real Number System ChartReal
Numbers
Rational Numbers
Irrational Numbers
Whole Numbers
Negative Integers
IntegersFractions & Terminating & Repeating Decimals that are not Integers
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The Real Number System Chart ExamplesReal Numbers
2, 15, 186 -2, -15, -186
-12, 0, 62/3 = .666
= .64/5 = .8
Rational Numbers
√10 = 3.1622776......
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Name all sets of numbers to which 1/11 belongs. Useyour calculators to help you.
The fraction as a decimal ends in a repeating pattern.
Classify Numbers
Answer: It is a rational number because it is
equivalent to 0.090909…
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Classify Numbers
Name all sets of numbers to which belongs.
Answer: Since , it is a whole number, an integer, and a rational number.
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Classify Numbers
Answer: Since the decimal does not repeat or terminate, it is an irrational number.
Name all sets of numbers to which belongs. Use
your calculators to help you.
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Graph Real Numbers
Answer:
Estimate and to the nearest tenth. Then graph and on a number line. Use your calculators to help you.
or about 2.8
or about –1.4
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Compare Real Numbers
Write each number as a decimal. Use your calculators to help you.
Replace • with <, >, or = to makea true sentence.
Answer: Since 3.875 is greater than 3.872983346…,
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Compare Real Numbers
Replace • with <, >, or = to makea true sentence.
Write as a decimal. Use your calculator to help you.
Answer: Since is less than 3.224903099…,
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A. rational
B. irrational
C. whole, rational
D. integer, rational
Name all sets of numbers to which 0.1010101010… belongs.
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A. integer
B. rational, integer
C. integer, whole
D. rational, integer, whole
Name all sets of numbers to which belongs.
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A. rational
B. irrational
C. integer
D. integer, irrational
Name all sets of numbers to which belongs.
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Estimate and to the nearest tenth. Then graph and on a number line.
Answer:
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A. <
B. >
C. =
Replace • with <, >, or = to makea true sentence.
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A. <
B. >
C. =
Replace • with <, >, or = to make a true sentence.