Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers:...
Transcript of Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers:...
![Page 1: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/1.jpg)
Chapter 2
Real Numbers and Monomials
8/2016 LSowatsky 1
![Page 2: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/2.jpg)
2.1.A Powers and Exponents
Main Idea: Use powers and exponents to write large and small numbers.
LSowatsky 2
![Page 3: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/3.jpg)
LSowatsky 3
![Page 4: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/4.jpg)
Example: Write each expression using exponents
1)
2)
3)
4)
LSowatsky 4
7 7 7 7
9 9 9
4 4 6 6 6 6 6
x y x y x x
![Page 5: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/5.jpg)
Example: Evaluate
1)
2)
3)
LSowatsky 5
2
5
25
31
4
![Page 6: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/6.jpg)
Order of Operations Reminder
1) Grouping symbols first (start inside and work out)
2) Evaluate powers
3) Multiply and Divide in order from left to right
4) Add and subtract from left to right
LSowatsky 6
![Page 7: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/7.jpg)
Example: Evaluate
1)
2)
LSowatsky 7
2 6 1if and 2
2a b a b
2 33 4 , if 1,and 2c d c d c d
![Page 8: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/8.jpg)
Homework:
p.94 #22-50 even, 54, 55
9/2016 LSowatsky 8
![Page 9: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/9.jpg)
2.1.B Multiply and Divide Monomials
Main Idea: Simplify real number expressions by multiplying and dividing monomials.
LSowatsky 9
![Page 10: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/10.jpg)
Monomial – a number, a variable, or a product of a number and one or more variables.
Product of Powers Property:
To multiply powers with the same base, add their exponents
Symbols:
LSowatsky 10
m n m na a a
![Page 11: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/11.jpg)
Example: Simplify. Express using exponents.
1)
2)
3)
LSowatsky 11
67 7
4 6r r
2 47 11x x
![Page 12: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/12.jpg)
Quotient of Power Property
To divide powers with the same base, subtract their exponents.
Symbols:
LSowatsky 12
,where 0m
m n
n
aa a
a
![Page 13: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/13.jpg)
Example: Simplify.
1)
2)
3)
LSowatsky 13
12
2
6
6
14
8
a
a
4 3 2
3
2 5 9
2 5 9
![Page 14: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/14.jpg)
Homework:
p. 100 # 18-40 even, 44-47
9/2016 LSowatsky 14
![Page 15: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/15.jpg)
2.1.C Powers of Monomials
Main Idea: Use laws of exponents to find powers of monomials
LSowatsky 15
![Page 16: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/16.jpg)
Power of a Power Property
To find the power of a power, multiply the exponents
Symbols:
LSowatsky 16
n
m m na a
![Page 17: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/17.jpg)
Example: Simplify
1)
2)
LSowatsky 17
8
25
7
3a
![Page 18: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/18.jpg)
Power of a Product Property:
To find the power of a product, find the power of each factor and multiply.
Symbols:
LSowatsky 18
m m mab a b
![Page 19: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/19.jpg)
Example: Simplify.
1)
2)
LSowatsky 19
3
43c
2
54 p q
![Page 20: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/20.jpg)
Real World Example:
Find the volume of a cube with side lengths of 6mn7. Express as a monomial.
LSowatsky 20
![Page 21: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/21.jpg)
Homework:
p. 104 #8 – 38 even, 39, 41, 42
9/2016 LSowatsky 21
![Page 22: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/22.jpg)
2.A Negative Exponents
Main Idea: Write and evaluate expressions using negative exponents.
LSowatsky 22
![Page 23: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/23.jpg)
Zero Exponents: Any nonzero number to the zero power is 1.
Negative Exponents: Any nonzero number to a negative power is the multiplicative inverse of its nth power.
Symbols:
LSowatsky 23
1, 0n
nx x
x
![Page 24: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/24.jpg)
Example: Write each expressing using a positive exponent.
1) 4-4
2) c-7
LSowatsky 24
![Page 25: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/25.jpg)
Example: Evaluate the expression
1) 5-2
2) (-8)-2
LSowatsky 25
![Page 26: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/26.jpg)
Homework:
p.111 #22 – 64 even, 65
8/2016 LSowatsky 26
![Page 27: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/27.jpg)
2.B Scientific Notation
Main Idea: Use scientific notation to write large and small numbers.
LSowatsky 27
![Page 28: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/28.jpg)
Scientific Notation:
A compact way of writing very large or very small numbers.
LSowatsky 28
![Page 29: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/29.jpg)
Write numbers in standard form:
6.32 x 105
2.34 x 10-3
LSowatsky 296/20/2011
![Page 30: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/30.jpg)
Write numbers in scientific notation:
931,500,000
0.00443
LSowatsky 306/20/2011
![Page 31: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/31.jpg)
LSowatsky 31
Activity
![Page 32: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/32.jpg)
Homework:
Workbook p.31
8/2016 LSowatsky 32
![Page 33: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/33.jpg)
2.C Compute with Scientific Notation
Main Idea: Use powers and exponents to write large and small numbers.
LSowatsky 33
![Page 34: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/34.jpg)
Evaluate each expression. Express the result in scientific notation.(4.2 x 103)(1.6 x 104)
LSowatsky 34
6
3
1.449 10
2.1 10
![Page 35: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/35.jpg)
Addition and subtraction: need to line up place values (shown by exponent)
LSowatsky 35
4 56.89 10 9.24 10
6 58.23 10 6.91 10
![Page 36: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/36.jpg)
Homework:
Workbook p.33
9/2016 LSowatsky 36
![Page 37: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/37.jpg)
Chapter 2 MidchapterTest
8/2016 LSowatsky 37
![Page 38: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/38.jpg)
3.A Roots
Main Idea: Find square roots and cube roots.
LSowatsky 38
![Page 39: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/39.jpg)
Vocabulary:
Perfect squares – squares of integers
Square root – one of its two equal factors
Radical sign – used to indicate a root of a number; every positive number has both a negative and a positive square root.
LSowatsky 39
![Page 40: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/40.jpg)
LSowatsky 40
Index number
Radical
Radicand
![Page 41: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/41.jpg)
Example: Find the square root.
1)
2)
3)
4)
LSowatsky 41
81
1.44
16
81
49
![Page 42: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/42.jpg)
Real World Example: A group of 196 students needs to be seated in a square formation for a yearbook photo. How many students should be in each row?
LSowatsky 42
![Page 43: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/43.jpg)
Cube Roots: a cube root of a number is one of its three equal factors.
LSowatsky 43
3
![Page 44: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/44.jpg)
LSowatsky 446/20/2011
Examples:
1)
2)
3 125
3 27
![Page 45: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/45.jpg)
Homework:
p. 127 #18 – 54 even, 58
8/2016 LSowatsky 45
![Page 46: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/46.jpg)
3.C Estimate Roots
Main Idea: Use roots to estimate solutions.
LSowatsky 46
![Page 47: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/47.jpg)
Estimate Square Roots: estimating the square roots of numbers that are not perfect squares (can use a number line)
LSowatsky 47
Estimate 18- Can use a number line- Write inequality- Estimate to closest whole number
![Page 48: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/48.jpg)
Example: estimate to the nearest whole number
LSowatsky 48
21.5
![Page 49: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/49.jpg)
Real World Example: To estimate the time in seconds it will take an object to fall h feet, you can use the expression
About how long will it take an object to fall from a height of 38 feet?
LSowatsky 49
4
h
![Page 50: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/50.jpg)
Homework:
worksheet
9/2016 LSowatsky 50
![Page 51: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/51.jpg)
3.D Compare Real Numbers
Main Idea: Compare mathematical expressions involving real numbers.
LSowatsky 51
![Page 52: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/52.jpg)
Vocabulary:
Irrational numbers: number that cannot be expressed as a ratio with integers
Real numbers: set of rational and irrational numbers
LSowatsky 52
![Page 53: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/53.jpg)
Classify: name all sets to which each real number belongs1) 0.09090909…
2)
3)
LSowatsky 53
25
12
![Page 54: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/54.jpg)
Compare: use <, >, = to make a true statement.
1) 2)
LSowatsky 54
715 ____ 3
812.3% _____ 0.01
![Page 55: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/55.jpg)
Example: Order the numbers from least to greatest. Verify your answer by graphing on a number line.
LSowatsky 55
115,3,4 ,5.36
2
![Page 56: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/56.jpg)
Homework:
worksheet
10/2016 LSowatsky 56
![Page 57: Chapter 2mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019-11-29 · Real numbers: set of rational and irrational numbers LSowatsky 52. Classify: name all sets to which](https://reader030.fdocuments.us/reader030/viewer/2022041013/5ec225894aabc074b26aa2f9/html5/thumbnails/57.jpg)
Chapter 2 Test
10/2016 LSowatsky 57