Part I: Numbers and Operations Lesson 1: 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

RATIONAL AND IRRATIONAL NUMBERS

Rational Numbers Objective: I will identify rational and irrational numbers MAFS.8.NS.1: Know that there are numbers that are not rational, and approximate.

Rational and Irrational Numbers. Rational Number.

Rational and Irrational Numbers

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

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 =.

Lesson 1-5 The Complex Numbers. Objective: Objective: To add, subtract, multiply, and divide complex numbers.

Greatest Common Factor

P1 Real Numbers.

Goal 1.01 Vocabulary  H J MacDonald Middle  8 th Grade Math  Littleton.

The root word of rational is ratio.

A Slide Show by Mr. Mark Martin. Integer Operations Integers are all the positive and negative numbers and zero. –In set notation: {... -2, -1, 0, 1,

Numbers MST101. Number Types 1.Counting Numbers (natural numbers) 2.Whole Numbers 3.Fractions – represented by a pair of whole numbers a/b where b ≠ 0.

Algebra 1 Chapter 1 Section 5.

Warm Up Add or subtract. 1 + – – – –

Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.

9-2 Extension: Negative Rational Numbers Lesson Presentation Lesson Presentation.

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.

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 − ….

1.8 DIVIDING RATIONAL NUMBERS I CAN USE THE RULES FOR DIVIDING INTEGERS TO DIVIDE RATIONAL NUMBERS AND SOLVE PROBLEMS BY DIVIDING RATIONAL NUMBERS.

Review for Test #2 Rational Numbers and Irrational Numbers Real Numbers Powers and Exponents Scientific Notation.

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.

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:

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

WARM-UP. REAL NUMBERS THE REAL NUMBERS FLOW CHART REAL NUMBERS RATIONAL IRRATIONAL INTEGERS WHOLE NATURAL.

Number systems. Real numbers Rational numbers fractionsIntegers Negative integers Whole numbers Zero Positif integers/nat ural numbers Irrational numbers.

Slide Copyright © 2009 Pearson Education, Inc. Unit 1 Number Theory MM-150 SURVEY OF MATHEMATICS – Jody Harris.

Real Numbers Rational Number s Non- integer s Intege rs Negative Integers Whole Number s Natural Numbers Zero Irrationa l Number s.

TYPES OF NUMBERS. Natural Numbers: {1, 2, 3, 4,...} This group of numbers starts at 1. It includes 1, 2, 3, 4, 5, and so on. Zero is not in this group.

Irrational Numbers (4.2). If the definition of a rational number is a number that can be written in the form m/n, where m and n are integers with n not.

The set of real numbers can be divided into two sets: RATIONAL NUMBERS IRRATIONAL NUMBERS and Numbers that can be written in the form a. b Numbers that.

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.

Number and Numerical Operations. Real Numbers Rational Numbers -Can be written as a fraction. -In decimal form, either terminates or repeats Examples:

Chapter 4 Notes. 4-1 Divisibility and Factors Divisibility Rules for 2, 5, and 10 An integer is divisible by –2 if it ends in 0, 2, 4, 6, or 8 –5 if it.

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

MATH BASICS Learning the Terminology. Look at the following problem: How many even prime numbers are there between 0 and 100. A. 0 B. 1 C. 2 D. 3 E. 4.

The Real Number System.

Square Roots. Perfect Squares Squaring is when a number is multiplied by itself – It’s called squared because the area of a square is multiplying a side.

Making Sense of Rational and Irrational Numbers

Sets of Real Numbers (0-2)

Rational and Irrational Numbers

Rational and Irrational Numbers

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

Rational and Irrational Numbers

Number Theory The Integers; Order of Operations Rational Numbers

(as opposed to fake numbers?)

Unit 1: Rational Numbers and Exponents

ratio ratio repeat terminate repeat terminate

The Real Number System 11/30/2018 Singler.

Rational and Irrational Numbers

Real Numbers COURSE 3 CHAPTER 4 1. yes 2. no 3. yes

Rational and Irrational Numbers

Lesson 7.4 Real Numbers.

Real Numbers System.

Types of Number © B. Taylor

Some Simple Tips and Reminders

Rational and Irrational Numbers

Natural Numbers The first counting numbers Does NOT include zero

Rational and Irrational Numbers

The Real Number System 6/28/2019 jwaid.

The Real Number System 9/14/2019 jwaid.

UNIT 1 Chapter 1-1 Number Systems.

Presentation transcript:

Part I: Numbers and Operations Lesson 1: Numbers

2 Even Number  A number is even if the reminder is zero when it is divided by 2. (n=2*m)  Examples: 2, 8, 200….  0 is even because 0=2*0

3 Odd Number  A number is odd if the reminder is one when it is divided by 2. (n=2*m+1)  Examples: 1, 9, 11, 1001….  Check the unit digit if the number is big, if the digit is even then the number is even; if the digit is odd then the number is odd.

4 Some Rules  Even + even = even  Odd + odd = even  Odd + even = odd  Even * even = even  Odd * odd = odd  Odd * even = even

5 Prime Number  A natural number that has exactly two distinct natural number divisors: 1 and itself  Except for 2, all even numbers are not prime, why?  1 is not a prime number *Natural numbers are the ordinary counting numbers, 1, 2, 3, …..

6 Composite Number  A number which is not prime is known as a composite number  Every composite number has at least three factors, why?  1 is not a composite number

7 Rational Number  A real number that can be written as a simple ratio a/b, where a and b are integers and b is not zero  Examples: 3/2, 2/3, 9/100, ….  An integer i is rational because i=i/1  Are 0.01, ….., 1.25 rational numbers? Why?

8 Irrational Number  A real number that cannot be written as a fraction, not rational  Examples: ∏, √2, e, ….  Not all roots are irrational

9 Integer  Natural numbers (1, 2, 3, …), 0, and the negative natural numbers (-1, -2, -3, …)

10 Answers  Prime number: because even numbers can be divided by 2, so at least 2 is one divisor. But 2 can only be divided by 1 and 2 (which is itself), so 2 is prime the other even numbers are not.  Composite number: prime numbers could only be divided by 1 and itself, composite number is not prime, so at least 1, itself and other are divisors.  0.01=1/100, ….=1/3, 1.25=5/4, so they are rational numbers.

11 References      