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

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REAL NUMBERS (as opposed to fake numbers?)

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

Page 1: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

REAL NUMBERS

(as opposed to fake numbers?)

Page 2: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Two Kinds of Real Numbers

• Rational Numbers

• Irrational Numbers

Page 3: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Two Kinds of Real Numbers

•Rational Numbers

•Irrational Numbers

Page 4: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Rational Numbers

•A rational number is a real number that can be written as a ratio of two integers.

•A rational number written in decimal form is terminating or repeating.

Page 5: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Examples of Rational Numbers

•16•1/2•3.56

•-8•1.3333…

•- 3/4

Page 6: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Irrational Numbers

•An irrational number is a number that cannot be written as a ratio of two integers.

• Irrational numbers written as decimals are non-terminating and non-repeating.

Page 7: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Examples of Irrational Numbers

• Square roots of non-perfect “squares”

• Pi

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Page 8: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

Integers

One of the subsets of rational numbers

Page 9: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

What are integers?

• Integers are the whole numbers and their opposites.

• Examples of integers are 6-120186-934

Page 10: REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers Rational Numbers Irrational Numbers.

• Integers are rational numbers because they can be written as fraction with 1 as the denominator.


REAL NUMBERS (as opposed to fake numbers?) Objective TSW identify the parts of the Real Number System TSW define rational and irrational numbers TSW.

REAL NUMBERS (as opposed to fake numbers?) Objective TSW identify the parts of the Real Number System TSW define rational and irrational numbers TSW.

Rational and irrational numberscatalogimages.johnwiley.com.au/Attachment/07314/0731401646/M… · Rational and irrational numbers belong to the set of real numbers (denoted by the

Rational and irrational numberscatalogimages.johnwiley.com.au/Attachment/07314/0731401646/M… · Rational and irrational numbers belong to the set of real numbers (denoted by the

Rational and Irrational Numbers - cpb-us-e1.wpmucdn.com · include rational and irrational numbers. Non-Real Numbers A non real number is a number that does not exist on a number

Rational and Irrational Numbers - cpb-us-e1.wpmucdn.com · include rational and irrational numbers. Non-Real Numbers A non real number is a number that does not exist on a number

Chapters 1 and 2. Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Imaginary Numbers.

Chapters 1 and 2. Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Imaginary Numbers.

Rational numbers vs. Irrational numbers handout

Rational numbers vs. Irrational numbers handout

Square Roots & Irrational Numbers

Square Roots & Irrational Numbers

Rational numbers vs. Irrational numbers

Rational numbers vs. Irrational numbers

8 Grade Math First Quarter Unit 1: Real Numbers …...Unit 1: Real Numbers and Exponents (5 weeks) Topic A: Rational and Irrational Numbers This unit introduces the real number system

8 Grade Math First Quarter Unit 1: Real Numbers …...Unit 1: Real Numbers and Exponents (5 weeks) Topic A: Rational and Irrational Numbers This unit introduces the real number system

Chapter 1 Numbers, Linear Functions, Equations ... · Irrational Numbers Non-Integers Real Numbers. Chapter 1 Sets of Numbers, Linear Functions, Inequalities and their Applications

Chapter 1 Numbers, Linear Functions, Equations ... · Irrational Numbers Non-Integers Real Numbers. Chapter 1 Sets of Numbers, Linear Functions, Inequalities and their Applications

Rational numbers vs. Irrational numbersblossoms.mit.edu/.../files/video/download/Rational-Irrational-handout.pdf · Rational numbers vs. Irrational numbers by Nabil Nassif, PhD in

Rational numbers vs. Irrational numbersblossoms.mit.edu/.../files/video/download/Rational-Irrational-handout.pdf · Rational numbers vs. Irrational numbers by Nabil Nassif, PhD in

CLASSIFICATION OF REAL NUMBERS - Abhijit Kumar Jha · 2014. 10. 14. · NUMBERS (Theory) CLASSIFICATION OF REAL NUMBERS Real Number are classified into rational and irrational numbers.

CLASSIFICATION OF REAL NUMBERS - Abhijit Kumar Jha · 2014. 10. 14. · NUMBERS (Theory) CLASSIFICATION OF REAL NUMBERS Real Number are classified into rational and irrational numbers.

Numbers: Rational and Irrationalusers.auth.gr/siskakis/Niven-NumbersRationalAndIrrational.pdf · numbers: rational and irrational complex numbers real numbers (real) algebraic numbers

Numbers: Rational and Irrationalusers.auth.gr/siskakis/Niven-NumbersRationalAndIrrational.pdf · numbers: rational and irrational complex numbers real numbers (real) algebraic numbers

Irrational Numbers Study Guide - mrrogove.weebly.commrrogove.weebly.com/.../3/0/0/43009773/irrational_numbers_study_g… · Irrational Numbers Study Guide ... ,!!!!!0.4545454545….

Irrational Numbers Study Guide - mrrogove.weebly.commrrogove.weebly.com/.../3/0/0/43009773/irrational_numbers_study_g… · Irrational Numbers Study Guide ... ,!!!!!0.4545454545….

THE REAL NUMBER SYSTEM - Bubblegumbubblegum.co.za/images/maths_grade_10.pdf · THE REAL NUMBER SYSTEM ... family of numbers the IRRATIONAL numbers (and yes, ... irrational number

THE REAL NUMBER SYSTEM - Bubblegumbubblegum.co.za/images/maths_grade_10.pdf · THE REAL NUMBER SYSTEM ... family of numbers the IRRATIONAL numbers (and yes, ... irrational number

REAL NUMBERS (BY MISS.MANITA MODPHAI) Objective TSW identify the parts of the Real Number System TSW define rational and irrational numbers TSW classify.

REAL NUMBERS (BY MISS.MANITA MODPHAI) Objective TSW identify the parts of the Real Number System TSW define rational and irrational numbers TSW classify.

PART I. THE REAL NUMBERSjosic/old_website/myweb/...(c) Between any two distinct irrational numbers, there is a rational number. (d) The rational and irrational numbers alternate. 3.

PART I. THE REAL NUMBERSjosic/old_website/myweb/...(c) Between any two distinct irrational numbers, there is a rational number. (d) The rational and irrational numbers alternate. 3.

Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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

REAL NUMBERS Rational and Irrational

REAL NUMBERS Rational and Irrational

REAL NUMBERS 1 · REAL NUMBERS 1 1 1.1 Introduction In Class IX, you began your exploration of the world of real numbers and encountered irrational numbers. We continue our discussion

REAL NUMBERS 1 · REAL NUMBERS 1 1 1.1 Introduction In Class IX, you began your exploration of the world of real numbers and encountered irrational numbers. We continue our discussion