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.

Slides:

Advertisements

Similar presentations

(as opposed to fake numbers?)

Advertisements

(as opposed to fake numbers?)

CLASSIFYING NUMBERS 8 th grade Math – Numeration Unit 7 π -√36 ¾ ….

The Real Number System. The natural numbers are the counting numbers, without _______. Whole numbers include the natural numbers and ____________. Integers.

E Birbeck 7/04 Natural Numbers Whole Numbers Integers Rational Numbers.

Real Numbers Week 1 Topic 1.

Real Numbers Week 1 Topic 1. Real Numbers  Irrational Numbers  Numbers that cannot be written as a fraction  √2, π  Rational Numbers  Numbers that.

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.

2.1 The real #s and absolute value

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.

Objectives: To evaluate and simplify algebraic expressions.

Warm Up Add or subtract. 1 + – – – –

(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.

Presented by Mr. Laws 8th Grade Math JCMS

The Real Number System. Real Numbers Real numbers consist of all the rational and irrational numbers. The real number system has many subsets: Natural.

Classification of the Real Number System

The Real Number System. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% π √2√2 − ….

-(-7.2) 1-(-3) -9+(-4.5) (-3.4)(-2) -15/3 -2/5 + 3/-5

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.

® 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:

If this is a number line, where would we put counting numbers?

REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Medina  Natural : Medina2 Any number that can be located somewhere on a number line Counting Number Counting numbers including the.

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 …

Section 1-2 Classifying Numbers and the Number Line.

Warm Up Find each quotient / divided by 3/5

Whole, Integers, Rational and Natural Numbers M7N1. Students will understand the meaning of positive and negative rational numbers and use them in computation.

Number Sets. Symbols for Number Set Counting numbers ( maybe 0, 1, 2, 3, 4, and so on) Natural Numbers: Positive and negative counting numbers (-2, -1,

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.

Lesson 7.4 Objective/Topic: To approximate square roots of non rational numbers. To classify real numbers EQ: How can you find decimal approximations of.

Go Math Lesson 1.2A. Goal: 8.NS.1 Know that the numbers that are not rational are called irrational.

1-1 REAL NUMBERS Bell-work 1.) 2x + 1 = x + 6.

Rational & Irrational Numbers

Section 1.4 The Real Number System

The Complex Number System

All numbers that can be represented on a number line are called real numbers and can be classified according to their characteristics.

(as opposed to fake numbers?)

ratio ratio repeat terminate repeat terminate

(as opposed to fake numbers?)

(as opposed to fake numbers?)

Warm-Up #12 (Monday, 9/28) 3 ∙ ∙ (2 5 − 125)

The Mysterious World of Number Identity…

Number Systems.

Activator: Put the following numbers into groups: Be able to explain why they are grouped together. 2.35, -7, 385, 5 2/3, …, …, …,

(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?

Types of Number © B. Taylor

The Real Number System Essential Question: -How do we classify numbers as rational or irrational?

Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers

Bell Work Name which level(s) of the Real Number System each number falls into REAL NUMBERS RATIONAL NUMBERS IRRATIONAL NUMBERS INTEGERS WHOLE.

Natural Numbers The first counting numbers Does NOT include zero

Irrational Numbers.

Rational and Irrational Numbers

The Mysterious World of Number Identity…

(as opposed to fake numbers?)

(as opposed to fake numbers?)

Presentation transcript:

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 fraction Decimals that repeat Decimals that stop √25, ½, 5, 0.123, … Real Numbers Set of all irrational and rational numbers

Review Integers Positive and negative counting numbers (plus 0) {…-3, -2, -1, 0, 1, 2, 3…) Whole Numbers Counting numbers starting at 0 {0, 1, 2, 3…} Natural Numbers Counting numbers starting at 1 {1, 2, 3…}

Practice Choose the answer choice that most specifically defines the given number: 1)-2 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 1)-2 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real -2 is not a whole number, whole numbers are not negative.

Practice Choose the answer choice that most specifically defines the given number: 2)0 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 2)0 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real Natural numbers start at 1. 0 is the smallest whole number.

Practice Choose the answer choice that most specifically defines the given number: 3)2 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 3)2 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 4)π a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 4)π a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real Pi is approximately … it is a decimal that doesn’t stop and doesn’t repeat so it is irrational

Practice Choose the answer choice that most specifically defines the given number: 5)½ a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 5)½ a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real Integers are not fractions.

Practice Choose the answer choice that most specifically defines the given number: 6)-8 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 6)-8 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real Whole numbers cannot be negative.

Practice Choose the answer choice that most specifically defines the given number: 7) … a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 7) … a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real Decimals that do not stop and do not repeat are irrational.

Practice Choose the answer choice that most specifically defines the given number: 8)3.5 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real

Practice Choose the answer choice that most specifically defines the given number: 8)3.5 a. natural, whole, integer, rational, real b. whole, integer, rational, real c. integer, rational, real d. rational, real e. irrational, real This decimal stops so it is rational. 3.5 is equal to 7/2.