Download presentation

Presentation is loading. Please wait.

Published byShawn Worman Modified over 3 years ago

1
The Number System The Complex Number System and Operations with Numbers

2
Repeating Decimals Repeating decimals are decimals that contain a infinite number of digits. Examples: 0.333… 7.689689… FYI…The line above the decimals indicate that number repeats.

3
Terminating Decimals Terminating decimals are decimals that contain a finite number of digits. Examples: 36.8 0.125 4.5

4
The Complex Number System All numbers in the world Represented by Complex Number System Real Numbers Imaginary Numbers

5
The Complex Number System Complex Number System Real Numbers RationalIntegers Whole Numbers Natural Numbers Irrational Imaginary Numbers

6
Imaginary numbers are all the numbers that deal with the square root of a negative number and contain the letter i in it. Example: You will learn more about these numbers in Algebra 2

7
Real Numbers Real numbers consist of all numbers that can be represented on a number line. Represented by

8
Complex Number System Real Numbers RationalIrrational Imaginary Numbers

9
Irrational Numbers Irrational numbers are any numbers that cannot be expressed as. They are expressed as non-terminating, non-repeating decimals ; decimals that go on forever without repeating a pattern. Examples of irrational numbers: –0.34334333433334… –45.86745893… – (pi) –

10
Rational Numbers Rational numbers are any numbers that can be expressed in the form of, where a and b are integers, and b 0. They can always be expressed by using terminating decimals or repeating decimals. Represented by Examples:

11
Complex Number System Real Numbers RationalIntegers Whole Numbers Natural Numbers Irrational Imaginary Numbers

12
Integers Integers are the set of whole numbers and their opposites. {…,-3, -2, -1, 0, 1, 2, 3,…} Represented by

13
Whole Numbers Whole numbers are the set of numbers that include 0 plus the positive numbers. {0, 1, 2, 3, 4, 5,…} Represented by

14
Natural Numbers Natural numbers are the set of counting numbers. {1, 2, 3,…} Represented by or

15
Venn Diagram of the Complex Numbers Irrational Numbers Rational Numbers Complex Numbers Imaginary NumbersReal Numbers Integers Whole Numbers Natural Numbers

16
Example Classify all the following numbers as natural, whole, integer, rational, or irrational. List all that apply. a.117 b.0 c.-12.64039… d.-½ e.6.36 f. -3

17
FYI…For Your Information When taking the square root of any number that is not a perfect square, the resulting decimal will be non-terminating and non- repeating. Therefore, those numbers are always irrational.

18
Properties of Real Numbers Property Addition Multiplication Commutative a+b = b+a ab = ba Associative(a+b)+c = a+(b+c) (ab)c = a(bc) Identitya + 0 = aa1 = a Inversea + (-a) = 0 a = 1 Opposite Reciprocal Distributive Property a(b + c) = ab + ac

19
Examples of Properties Name the property displayed: 1.-2 + (x – 5) = (-2 + x) – 5 2. (-2) ( -½ ) = 1 3. 2(4 – 5) = (4 – 5)2 4. x(y – w) = xy – xw

20
Order of Operations 1.Parenthesis/Grouping Symbols 2.Exponents 3.Multiplication and Division – left to right 4.Addition and/or Subtraction – left to right

21
Grouping Symbols Grouping symbols include parenthesis, braces, brackets, numerators and denominators of fractions and underneath a radical or inside absolute value symbols.

22
Examples – Using Order of Operations Evaluate the following: 1.2 2 (12 + 8) 5 2. 52 ÷ (2 + 11) 3. 7 12 + 30 ÷ 5

Similar presentations

Presentation is loading. Please wait....

OK

1.8 The Real Number System Standard: 7.NS1d, 2c, & 2d.

1.8 The Real Number System Standard: 7.NS1d, 2c, & 2d.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on carbon monoxide poisoning Ppt on object-oriented concepts with examples Ppt on cost accounting concepts Ppt on 5 star chocolate pie Ppt on introduction to object-oriented programming definition Ppt on tcp ip protocol v6 Ppt on soft skills for teachers Ppt on human nutrition and digestion quiz Ppt on iso 9000 Ppt on self development plan