WHAT IS CLASSIFICATION ??? CLASSIFIED IN SCIENCE CLASS, WE LEARN ABOUT DIFFERENT ANIMAL SPECIES AND HOW THEY ARE CLASSIFIED ACCORDING TO THEIR PHYSICAL.

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?)
Objectives Evaluate expressions containing square roots.
Rational and Irrational Numbers. Rational Number.
Classifying Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers.
The Real Number System. The natural numbers are the counting numbers, without _______. Whole numbers include the natural numbers and ____________. Integers.
Objective - To recognize, graph, and compare rational numbers. Rational Number - any number that can be written as a fraction. including decimals... including.
NUMBER SYSTEMS ⅝ 25 √7 π
Lesson 9.2 The Real Number System
Classification of Numbers
Real Numbers Real Numbers are all numbers that can be located on Real Number line. This includes all whole numbers, all fractions, all decimals, all roots,
Lesson 7 Rational and Irrational Numbers. Numbers Numbers can be classified as rational or irrational. What is the difference? Rational –Integers- all.
Holt Algebra Square Roots and Real Numbers 1-5 Square Roots and Real Numbers Holt Algebra 1 Lesson Presentation Lesson Presentation Lesson Quiz Lesson.
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.
Ch 2.1 Objective: To recognize different sets of numbers and to identify a domain.
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,
1-3 REAL Numbers :- 1-3 REAL Numbers :- New Vocabulary: Real Numbers : Natural Numbers : Whole Numbers : Integers : Rational Numbers : Irrational Numbers.
(as opposed to fake numbers?)
Real Number System.
Lesson 5-2 Pages Rational Numbers Lesson Check 5-1.
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.
 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.
Presented by Mr. Laws 8th Grade Math JCMS
What is a Set? A SET is a group of objects that share similar characteristics or properties Example: Clothing.
The Real Number System. Real Numbers Real numbers consist of all the rational and irrational numbers. The real number system has many subsets: Natural.
The Real Number System. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% π √2√2 − ….
Exploring Real Numbers Lesson 1-3. Real Numbers Rational Numbers Integers Whole Numbers.
Day Problems Simplify each expression (5 + 9) – 62. (2 + 9) (8 – 4) 3. 6 [13 – 2 ( 4 + 1)] Evaluate each expression for m = 4 and r = m 2 +
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.
Lesson – Real Numbers MGSE8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;
Rational and Irrational Numbers Write down anything you know about rational and irrational number.
Warmup Group the following numbers by similar characteristics. 6, ½, 3.2, 7, -5, , …, 4, ¼, ¾, 0.75, 9, -1, 4, 0.5, 0.3, 2, 0.6, -9, 7.1, 1/3, 0.25.
® Ramziah AL Kaissi REAL NUMBERS (as opposed to fake numbers?)
11/10/2015.  Copy these definitions into your notes: 1. Rational number: Any number that can be put into the form of a fraction. 2. Irrational number:
1.8 The Real Number System Standard: 7.NS1d, 2c, & 2d.
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 …
Warm-Up Convert the following to fractions: 1) ) ) ) 0.12.
Section 1-2 Classifying Numbers and the Number Line.
This Week’s Agenda Monday – Classify Real Numbers Tuesday – Test Review and Organize Notebooks Wednesday – Unit 2 Test Thursday/Friday – Modeling Polynomials.
5-3(D) Real Numbers.
Classifying Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers.
1.3 Exploring Real Numbers
The set of real numbers consists of the set of rational numbers and the set of irrational numbers. Irrational numbersRational numbers Real Numbers Integers.
1-1 REAL NUMBERS Bell-work 1.) 2x + 1 = x + 6.
Classifying Numbers, number lines, and <,>,=
(as opposed to fake numbers?)
(as opposed to fake numbers?)
Lesson 5-2 Pages Rational Numbers.
The Mysterious World of Number Identity…
Rational & Irrational Numbers
Rational & Irrational Numbers
All numbers that can be represented on a number line are called real numbers and can be classified according to their characteristics.
Math 3-3: Warm-up.
The Mysterious World of Number Identity…
Together, rational numbers and irrational numbers form this set.
(as opposed to fake numbers?)
(as opposed to fake numbers?)
The Real Number System Essential Question: -How do we classify as rational and irrational numbers?
The Real Numbers.
Real Numbers System.
Rational and Irrational Numbers
Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers
Natural Numbers The first counting numbers Does NOT include zero
The Mysterious World of Number Identity…
Presentation transcript:

WHAT IS CLASSIFICATION ??? CLASSIFIED IN SCIENCE CLASS, WE LEARN ABOUT DIFFERENT ANIMAL SPECIES AND HOW THEY ARE CLASSIFIED ACCORDING TO THEIR PHYSICAL FEATURES, HABITATS, AND SURVIVAL TRAITS…

CLASSIFICATION IN MATH NUMBERS CAN BE CLASSIFIED THE SAME WAY: THERE ARE NEGATIVE NUMBERS AND POSITIVE NUMBERS, DECIMALS AND FRACTIONS, BIG AND SMALL, AND THESE CHARACTERISTICS DETERMINE WHICH “GROUPS” A NUMBER BELONGS TO NUMBER SYSTEMS NUMBER SETS GROUPS FOR CLASSIFYING NUMBERS ARE CALLED NUMBER SYSTEMS OR NUMBER SETS

THE REAL NUMBER SYSTEM REAL NUMBERS IRRATIONAL NUMBERS RATIONAL NUMBERS INTEGERS WHOLE NUMBERS COUNTING NUMBERS

RATIONAL VS IRRATIONAL ALL THE NUMBERS WE USE IN MIDDLE SCHOOL MATH ARE IN THE REAL NUMBER SYSTEM AND EITHER RATIONAL OR IRRATIONAL… NEVER NEVER BOTH!!!! RATIONAL NUMBERS IRRATIONAL NUMBERS ANY NUMBERS THAT CAN BE EXPRESSED AS FRACTIONS ANY NUMBERS THAT CAN BE EXPRESSED AS FRACTIONS MAY BE NEGATIVE, POSITIVE, OR NEUTRAL MAY BE NEGATIVE, POSITIVE, OR NEUTRAL MAY BE WHOLE NUMBERS, MIXED NUMBERS, DECIMALS, OR FRACTIONS MAY BE WHOLE NUMBERS, MIXED NUMBERS, DECIMALS, OR FRACTIONS EXAMPLES: 25, -4, ½, ANY NON-REPEATING, NON- TERMINATING DECIMAL NUMBERS ANY NON-REPEATING, NON- TERMINATING DECIMAL NUMBERS OFTEN HAVE 3 DOTS AT THE END TO SIGNIFY CONTINUATION OFTEN HAVE 3 DOTS AT THE END TO SIGNIFY CONTINUATION *IT IS NOT POSSIBLE TO WRITE IRRATIONAL NUMBERS IN FRACTIONAL FORM, AS THEY HAVE NO END EXAMPLES: … AND ∏

INTEGERS INTEGERS ARE NON-DECIMAL NUMBERS THAT MAY BE NEGATIVE, POSITIVE OR NEUTRAL. WE CAN RECOGNIZE THEM AS THE NUMBERS WE SEE ON THE NUMBER LINE NEGATIVE INTEGERS ¤ POSITIVE INTEGERS NEGATIVE INTEGERS ¤ POSITIVE INTEGERS

WHOLE AND COUNTING NUMBERS WHOLE NUMBERS POSITIVE, NON-DECIMAL NUMBERS BELONG TO THE SET OF WHOLE NUMBERS. THESE INCLUDE CONSECUTIVE NUMBERS STARTING WITH ZERO: 0, 1, 2, 3, 4, 5, 6, 7,…. ON INFINITELY COUNTING NUMBERS COUNTING NUMBERS CONTAIN THE SAME NUMBERS, EXCEPT ZERO (IMAGINE HOW YOU COUNT WHEN PLAYING HIDE-AND-SEEK) THIS IS THE SMALLEST SET OF RATIONAL NUMBERS 1, 2, 3, 4, 5, 6, 7 … ON INFINITELY

CLASSIFYING NUMBERS… GENERAL RULES:  ALL NUMBERS WE USE IN MIDDLE SCHOOL ARE CLASSIFIED AS REAL  ALL REAL NUMBERS ARE CLASSIFIED AS EITHER RATIONAL OR IRRATIONAL  ANY REAL NUMBERS THAT ARE IRRATIONAL WILL ONLY BE CLASSIFIED AS REAL AND IRRATIONAL  NUMBERS THAT ARE RATIONAL ARE ONLY INTEGERS, WHOLE, AND/OR COUNTING NUMBERS IF THEY DO NOT CONTAIN DECIMALS  NEGATIVE INTEGERS ARE NOT CLASSIFIED AS WHOLE OR COUNTING EXAMPLES: -7 REAL, RATIONAL, INTEGER 0 REAL, RATIONAL, INTEGER, WHOLE … REAL, IRRATIONAL 13 REAL, RATIONAL, INTEGER, WHOLE, COUNTING ½ REAL, RATIONAL -9.1 REAL, RATIONAL **ALL NUMBERS WILL BE CLASSIFIED INTO AT LEAST TWO NUMBER SETS**

LESSON 1 VOCABULARY REVIEW TERMDEFINITION CLASSIFY TO IDENTIFY THE NUMBER SETS TO WHICH A GIVEN NUMBER BELONGS (EVERY NUMBER BELONGS TO AT LEAST 2 NUMBER SYSTEMS) NUMBER SYSTEM SETS INTO WHICH NUMBERS MAY BE CLASSIFIED ACCORDING TO MATHEMATICAL CHARACTERISTICS REAL THE SET OF ALL RATIONAL AND IRRATIONAL NUMBERS RATIONAL THE SET OF ALL REAL NUMBERS WHICH MAY BE EXPRESSED AS FRACTIONS (1, 0, -9, , 8.418, , AND ½ ARE ALL RATIONAL NUMBERS) IRRATIONAL ANY NUMBER THAT CANNOT BE EXPRESSED AS A FRACTION; ANY NON- REPEATING, NON-TERMINATING DECIMAL NUMBER ( … IS AN IRRATIONAL NUMBER) WHOLE THE SET OF ALL COUNTING NUMBERS, PLUS 0 (0, 1, 2, 3, 4, 5…) COUNTING THE SET OF NON-DECIMAL NUMBERS BEGINNING WITH 1 (1, 2, 3, 4, 5….) INTEGER THE SET OF ALL WHOLE NUMBERS AND THEIR OPPOSITES (INCLUDES ALL NEGATIVE AND POSITIVE NON-DECIMAL NUMBERS) NUMBER LINE A MATHEMATICAL TOOL USED TO ORGANIZE THE SET OF REAL NUMBERS