1-3 REAL Numbers :- 1-3 REAL Numbers :- New Vocabulary: Real Numbers : Natural Numbers : Whole Numbers : Integers : Rational Numbers : Irrational Numbers.

Slides:



Advertisements
Similar presentations
Freshman Number Sets Week 3. Review Irrational Numbers Numbers that cannot be written as a fraction Rational Numbers Numbers that can be written as a.
Advertisements

(as opposed to fake numbers?)
(as opposed to fake numbers?)
1-3: Exploring Real Numbers Essential Question: What is a rational number? How can you express an integer as a rational number?
The Real Number System. The natural numbers are the counting numbers, without _______. Whole numbers include the natural numbers and ____________. Integers.
Integers: Comparing and Ordering EQ How do we compare and order rational numbers?
Objective - To recognize, graph, and compare rational numbers. Rational Number - any number that can be written as a fraction. including decimals... including.
Warm-Up. OBJECTIVE: TO DETERMINE THE SETS OF NUMBERS TO WHICH A GIVEN NUMBER BELONGS. TO USE THE PROPERTIES OF REAL NUMBERS TO SIMPLIFY EXPRESSION. Properties.
Warm-Up What is a real number? 7 2 =.
Mrs.Volynskaya Real Numbers
Lesson 9.2 The Real Number System
P1 Real Numbers.
Warm Up Order from least to greatest , –5, –10, 0, 5 2.
Lesson 7 Rational and Irrational Numbers. Numbers Numbers can be classified as rational or irrational. What is the difference? Rational –Integers- all.
Goal 1.01 Vocabulary  H J MacDonald Middle  8 th Grade Math  Littleton.
Naturals - Natural counting numbers { 1, 2, 3… }
SETS OF NUMBERS.
Objective - To classify and identify numbers within the real number system. Rational NumbersIrrational Numbers -Any number that can be written as a fraction.
Rational Numbers Math 7/8.
1.2 Properties of Real Numbers. Sets Of Numbers – Naturals Numbers: counting numbers {1, 2, 3, 4…} – Wholes Numbers: counting numbers and zero {0, 1,
Section 1-3 Explore Real Numbers SPI 12A: Order a given set of rational numbers TPI 12F: Explore various representations of Absolute Value Objectives:
Chapter 1 Section 3 Real Number Classifications Comparing Real Numbers.
ALGEBRA 1. Lesson 1-3 Warm-Up ALGEBRA 1 Lesson 1-3 Warm-Up.
Outcomes: Represent the solution sets to inequalities in the following formats: Graphically Symbolically With Words.
(as opposed to fake numbers?)
The Real Number System.  Natural Numbers (AKA Counting Numbers): {1, 2, 3, 4, …}  Whole Numbers (Natural Numbers plus zero): {0, 1, 2, 3, …} NOTE: Both.
REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.
 Can be put in fractional form  The decimal form of the number either terminates (ends) or repeats.  Counting numbers, whole numbers, integers and.
The Real Number System -13 O, 1, 2, 3… 1/ π.
The Real Number System. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% π √2√2 − ….
Real Numbers. Set: a collection of objects – like a group Terminating Number: a number that ends –Example: 4.
Applied Geometry Lesson 2 – 1 Real Numbers and Number Lines Objective: Learn to find the distance between two points on a number line.
Exploring Real Numbers Objectives: (1)To classify numbers (2)To compare numbers.
-(-7.2) 1-(-3) -9+(-4.5) (-3.4)(-2) -15/3 -2/5 + 3/-5
Exploring Real Numbers Lesson 1-3. Real Numbers Rational Numbers Integers Whole Numbers.
Exploring Real Numbers. About Real Numbers ● "Real Numbers" are all the numbers that we deal with in math class and in life! ● Real Numbers can be thought.
1.3 Exploring Real Numbers Textbook pg 17. Terminology Natural Numbers: {1, 2, 3, 4, 5, 6,…} Whole Numbers: {0, 1, 2, 3, 4, 5,…} Integers: {…,-3, -2,
Rational and Irrational Numbers Write down anything you know about rational and irrational number.
Unit 1-Number Sets Aa-1.1 Define and identify integers, rational, irrational, natural, whole and real numbers.
REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.
Section P-1 What are the properties of real numbers?
® Ramziah AL Kaissi REAL NUMBERS (as opposed to fake numbers?)
REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.
1-3 Exploring Real Numbers. Let’s start on the inside…what are natural numbers? Natural numbers are the counting numbers… 1, 2, 3, 4 …
R1.1 REAL NUMBERS ORDER AND ABSOLUTE VALUE. Set – A collection of objects Sub-set – Some of the items in the set.
Warm-Up Convert the following to fractions: 1) ) ) ) 0.12.
Section 1-2 Classifying Numbers and the Number Line.
5-3(D) Real Numbers.
Classifying Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers.
U NIT 1 P RE A LGEBRA, R ELATIONSHIPS B ETWEEN Q UANTITIES Lesson 1: Real Numbers (1-3)
1.3 Exploring Real Numbers
Number and Numerical Operations. Real Numbers Rational Numbers -Can be written as a fraction. -In decimal form, either terminates or repeats Examples:
The Real Numbers and Absolute Value Section 2.1 Essential Question What are the classifications of real numbers? How can you compare real number? Real.
Chapter 3, Lesson 1C Pages Learning Objectives and Vocab.  Learning Objective #2: I can compare and order rational numbers. ○ Standard: found.
INTEGERS Absolute Value Numbers and the Number Line Addition Subtraction Multiplication and Division Add/Subtract Matrices.
Classifying Numbers, number lines, and <,>,=
3.7 Extension Activity.
ratio ratio repeat terminate repeat terminate
Together, rational numbers and irrational numbers form this set.
Number Systems.
Domain and Range.
The Real Number System Real Numbers Irrational Numbers
Rational and Irrational Numbers
Rational Numbers: terminate or repeat a ratio of two integers,
Number Sets.
Natural Numbers The first counting numbers Does NOT include zero
Integers: Comparing and Ordering
Integers: Comparing and Ordering
UNIT 1 Chapter 1-1 Number Systems.
Presentation transcript:

1-3 REAL Numbers :- 1-3 REAL Numbers :- New Vocabulary: Real Numbers : Natural Numbers : Whole Numbers : Integers : Rational Numbers : Irrational Numbers : Inequality : A number that is either RATIONAL or IRRATIONAL “Counting Numbers” 1,2,3….etc [note: not zero or any negative numbers.] Counting numbers inclusive of zero 0,1,2,3…etc [Note: no negative numbers.] Whole numbers & their negatives -2,-1,0,1,2 …etc A number that can be written as a ratio of two integers. Ex: ½ or -3/4 [note: In decimal form the number is either terminating or repeating. Ex: 8.222…. ] A number that can’t be written as a ratio of two integers. Ex: “pi” [Note: In decimal form the number is non-terminating & non-repeating ex: π ] A mathematical sentence that uses an inequality symbol. Ex: ≤, ≥, < …etc Absolute Value :All positive REAL numbers.

REAL NUMBERS RATIONAL NUMBERS IRRATIONAL NUMBERS NATURAL NUMBERS WHOLE NUMBERS INTEGERS NUMBERS RATIONAL NUMBERS

Name the set(s) of numbers to which each number belongs:- 1) -12 4) 5 / 12 3) ) 12 5) √4 6) √6

Comparing Numbers…. INEQUALITIES Less Than Greater Than Less Than and Equal to Greater Than and Equal to Is not equal to Equal to

Ordering Fractions…. Which is larger, - 1 / 8 or - 1 / 2 ? Hint: you may want to look at the decimal equivalents! or you may remember, number get larger as we move to the right on a number line! /2 -1/8 Write - 3 / 8, - 1 / 2 and - 5 / 12 in order from least to greatest.

CLASS WORK = PAGE 20 – 21 = NUMBERS “even’s” up to # 40 & # 57 – 62, 64 & 65 HOME WORK = Practice Worksheet 1-3 = Numbers 1-33