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Topic: Properties of Rational Numbers.

Published by Aaradhya Kushare Modified over 2 years ago

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Presentation on theme: " Topic: Properties of Rational Numbers."— Presentation transcript:

Presented By : Aaradhya Annasaheb Kushare Std: 8 th | Div.: A | Roll No: 01 Topic: Properties of Rational Numbers

Properties of Real Numbers. Closure Property Commutative Property.

rational numbers presentation ppt

Answers to page 74 #22-31.

rational numbers presentation ppt

Objectives: Standard 15.0 I will find the LCM (Least Common Multiple) of the given denominators I will simplify the rational expressions by using the LCM.

rational numbers presentation ppt

A whole number or the quotient of any whole numbers, excluding zero as a denominator A whole number or the quotient of any whole numbers, excluding zero.

rational numbers presentation ppt

PROPERTIES REVIEW!. MULTIPLICATION PROPERTY OF EQUALITY.

rational numbers presentation ppt

RATIONAL NUMBERS RATIONAL NUMBERS The numbers of the form p/q (q=0) is called a RATIONAL NUMBER. Examples: 5/7 6/8 -6/9 etc. RATIONAL NUMBERS. PROPERTIES.

rational numbers presentation ppt

 Counting numbers are called natural numbers.  It is denoted by N. N=(1,2,3,4………………)

rational numbers presentation ppt

Rational Expressions.

rational numbers presentation ppt

R7 Rational Expressions. Rational Expressions An expression that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.

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Example ANSWER x(x+1). Example Example ANSWER 1.

rational numbers presentation ppt

Simplifying 5.1 – Basic Prop. & Reducing to Lowest Terms.

rational numbers presentation ppt

Chapter 7: Rational Algebraic Functions Section 7-8: Sums and Differences of Rational Expressions.

rational numbers presentation ppt

Lesson 2-6. Warm-up You have 10 minutes to complete the half-sheet on multiplication and division of rational functions.

rational numbers presentation ppt

Multiplication and Division Equations SWBAT apply the division property of equality to solve algebraic equations; apply the multiplication property of.

rational numbers presentation ppt

Lesson 8-2: Adding and Subtracting Rational Expressions.

rational numbers presentation ppt

By Richard Castillo. Definition The operation that reverses the effect of another operation.

rational numbers presentation ppt

Solving Linear Equations with Justification of Properties

rational numbers presentation ppt

One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.

rational numbers presentation ppt

Algebra Properties Definition Numeric Example  Algebraic Example.

rational numbers presentation ppt

Warm up: solve for x x – (-2) = -13. Inverse Operations LEQ: What are inverse operations and how do we use them to solve one step equations?

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Rational & Irrational Numbers

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Math Subject for Middle School - 7th Grade: Rational Number

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Rational Numbers

51 -24, -16, -14, -13, -5, 12, 15. 50) 32,-26,-24,-18, -16,-5. 49 -23,-17,0,4. 48 17,-12,5,13 ... replace each with =, , or 5) 2 6. 5) 3 -1. 3) -9 ... – powerpoint ppt presentation.

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  • Comes from the word ratio
  • Any number that can be expressed as the ratio of two integers

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rational and irrational numbers

Rational and Irrational Numbers

Jul 29, 2014

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Rational and Irrational Numbers. Rational Numbers. A real number that can be written as: A fraction or ratio of two integers - A repeating 0.5757... 1.2 or terminating decimal 0. 45 An integer - 25.

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Presentation Transcript

Rational Numbers • A real number that can be written as: • A fraction or ratio of two integers - • A repeating 0.5757... 1.2 or terminating decimal 0. 45 • An integer - 25 A number must be written in one of these three forms in order to be classified as RATIONAL

Squares • Another example of a RATIONAL number is a perfect square and square root. • When a number is multiplied with itself, the product is the SQUARE of the number. • A square is written with the exponent 2 (9 x 9 = 81) • Perfect Squares are the product of any number multiplied with itself

Table of Perfect Squares

Square Roots * This symbols asks “ what is the square root?” square root symbol • To find the SQUARE ROOT of a number , work backwards and divide the SQUARE by its FACTOR. = 25 = 5 SQUARE SQUARE ROOT (5 is a factor of 25)

Table of Square Roots

Irrational Numbers • A real number that can be written as: • A decimal that does not repeat 0.34332 • A decimal that does not terminate , or end • A number that is not a perfect square * An Irrational Number cannot be written as a ratio of 2 integers

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a. b. 4. 2. 2. 6. =. 6. =. 5. 3. 1. 8. 27. 0.7. =. 3. 10. 3456. 2.7. 34.56. 1. 5. 1. 3. 7. =. =. 3. 0.625. =. -. -3. 100. =. 8. 10. 7. 11. 3. =. 0.142857. 1. 0.3. =. =. 0.27. Rational and Irrational Numbers. Rational Numbers.

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Rational and Irrational Numbers. Real Numbers. Irrational Numbers. Rational Numbers. Irrational Numbers. Decimals. Non-Perfect Squares. Irrational Numbers. Decimals. Never Terminates Never Repeats Goes on Forever. 0.4567… -2.8191… -0.3322… 5.2468…. Irrational Numbers.

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COMMENTS

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    Rational Numbers. May 8, 2014 •. 108 likes • 58,117 views. Manisha Keim. Rational Numbers PPT for Class VIII, Properties of Rational Numbers: Commutative, Distributive, Associative, etc. Read more. 1 of 8. Rational Numbers - Download as a PDF or view online for free.

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    Dividing Rational Numbers. When dividing a decimal by a decimal, multiply both numbers by a power of 10 so you can divide by a whole number. To decide which power of 10 to multiply by, look at the denominator. The number of decimal places represents the number of zeros after the 1 in the power of 10. 13.2.

  3. CLASS VII -operations on rational numbers(1).pptx

    This document discusses properties of operations on rational numbers. It covers: 1) Addition of rational numbers, including having the same or different denominators. Properties include closure, commutativity, and additive identity. 2) Subtraction of rational numbers and its properties, noting the difference property and lack of an identity ...

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    Rational Numbers - Week 5. Please look at each slide. Be sure to click on each link. Each link has a video or a game to help learn this standard. There will be practice problems each day for students (slide 2) The Cool Downs will be used as our task this week. Lesson 3 - Monday and Tuesday.

  6. PPT

    Presentation Transcript. Rational Numbers • The integers which are in the form of p/q where q is not equal to 0 are known as rational numbers. Examples - 5/8; -3/14; 7/-15; -6/-11 • Natural numbers - They are counting numbers. • Integers - Natural numbers, their negative and 0 form the system of integers. • Fractional numbers - the ...

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  10. Topic: Properties of Rational Numbers.

    4 What is a rational number. 5 Properties of addition of rational numbers LCM = 12 LCM = 24. 6 Properties of addition of rational numbers. 10 Properties of subtraction of rational numbers. 14 5] Existence of additive inverse of a rational number :- Inverse of subtraction does not exist. 15 Properties of multiplication of rational numbers.

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    Rational Numbers • The term, Rational Numbers, refers to any number that can be written as a fraction. • This includes fractions that are reduced, fractions that can be reduced, mixed numbers, improper fractions, and even integers and whole numbers. • An integer, like 4, can be written as a fraction by putting the number 1 under it.

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    Rational numbers ppt - Download as a PDF or view online for free. Rational numbers ppt - Download as a PDF or view online for free ... Keynote presentation to the Educational Leaders hui Kōkiritia Marautanga held in Auckland on 26 June 2024. Provides a high level overview of the history and development of the science of learning, and ...

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    Transcript and Presenter's Notes. Title: Operations with Rational Numbers. 1. Operations with Rational Numbers. 2. Any number that can be written in the form , where m and n are. integers and n 0, is called a rational number. In other words, fractions.

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