Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah.

Slides:

Advertisements

Similar presentations

How can we show 25 hundredths graphically?. Shade in a (perfect) square within your square. Now… imagine that your original square is equal to one.

Advertisements

Measurement Modeling Multiplication of a Fraction by a Fraction.

It’s Anybody’s Guess Welcome to. Question 1: B. C. D. A. Next question.

Algebra Simplifying Radicals StAIR Project Lori Ferrington.

Changing Percents to a Fraction #3 To change a percent to a fraction you need to first write the numerator over 100. Next simplify the fraction.

Modeling Multiplication of a Fraction by a Mixed Number

Estimate: Review: Find 5/7 of 14. Draw a bar diagram. Divide it into 7 equal sections because the denominator is 7. Determine the number in each.

Table of Contents Factoring – Review of Basic Factoring The following is a quick review of basic factoring 1.Common Factor Example 1:

9.1 Multiplying and Dividing Rational Expressions

FRACTIONS 4 TH GRADE MATHEMATICS CREATED BY: ALYSSA GASWINT.

Lets begin, next Instruction Read each question and answer by clicking the correct answer. Lets go.

Mixed Numbers and Improper Fractions

Warm Up Simplify (10²)³

Mixed Numbers and Improper Fractions.

11.1 Examples for Division (EX: 1 of 4) Next Example Break the fraction up…move the radical sign to both the numerator and the denominator Can you divide?

Sec. 9-4: Rational Expressions. 1.Rational Expressions: Expressions (NOT equations that involve FRACTIONS). We will be reducing these expressions NOT.

Adding & Subtracting Whole Number and Fractions

Simplifying Radicals Definitely radical, debatably simple.

What is Divisibility? Divisibility means that after dividing, there will be No remainder.

Fractions Improper Fraction. A Fraction (such as 3 / 8 ) has two numbers: Fractions Numerator Denominator The top number is the Numerator, it is the number.

Dividing fractions 4/5 ÷ 7/8 = ?. When you are dividing fractions, invert the divisor. In other words, flip the right fraction. 4/5 ÷ 7/8 8/7= ?

Chapter 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.

Mixed Numbers and Improper Fractions Lesson 3-5. Vocabulary A proper fraction has a numerator that is less than its denominator. An improper fraction.

Lesson 4-1 Example Example 1 Write two and seventy-five hundredths as a decimal and as a fraction in simplest form. 1. of the first square is shaded.

Jim Smith JCHS. Perfect Squares If You Multiply A Number By It’s Self, You Get A Perfect Square 1x1 = 1 2x2 = 4 3x3 = 9 1, 4, 9, 16, 25, 36, 49, 64, 81,

How to multiply a whole number by a fraction.

Multiplying Fractions. Fraction with a Fraction 1. Multiply numerators 2. multiply denominators 3. reduce.

Start. Instructions Read through the tutorial and follow along with the step- by-step review. To go back Next page To return to this page For hints Table.

Divide Fractions Lesson 2.3. Using Mental Math ÷How many groups of are in ? 1414 ÷ 3 How many groups of are in 3? 3434 ÷ 3 What are the 3 equal groups.

FRACTIONS LESSON 4. TERMIOLOGY ► NUMERATOR – Top digit of a fraction ► DENOMINATOR – Bottom digit of a fraction ► EQUIVALENT FRACTIONS - are fractions.

5.4 Irrational Numbers. Irrational numbers Irrational numbers are those that cannot be written as a fraction Irrational numbers have non-terminating or.

The #’s 1, 4, 9, 16, 25.…are called. The #’s 1, 4, 9, 16, 25.…are called perfect squares / square numbers.

Unit 8 Seminar Agenda Solving Equations by Factoring Operations on Radical Expressions Complex Numbers.

Fraction Division: A Whole Number Divided by a Fraction 1  = ? 1515 To get the answer, ask: 1  ? = 1515 How many groups of can be made from 1? 1515.

MULTIPLYING RATIONAL NUMBERS LESSON 8. Multiplying Integers  Positive x Positive = Positive  Positive x Negative = Negative  Negative x Negative =

Unit 2: Exponents Review. What is on the test??? 1.Exponent Rules 2.Perfect Squares 3.Square Roots / Cube Roots 4.Estimating Non-Perfect Squares 5.Scientific.

Rational Expressions Simplifying. Polynomial – The sum or difference of monomials. Rational expression – A fraction whose numerator and denominator are.

Fraction Fun! By: Nancy Wilson. GLCEs N.ME Recognize, name, and represent commonly used unit fractions with denominators 12 or less; model 1/2,

EXPONENTS X2X2 X TO THE SECOND POWER OR X SQUARED X IS CALLED BASE 2 IS CALLED EXPONENT Use x as a factor 2 times X * X.

 Anything to the power of zero is one  4 0 =1  X 0 =1  =?

Part of a set or part of a whole. 3 4 =Numerator the number of parts = Denominator the number that equals the whole.

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.

Definitions: Proper Fraction – Is a fraction in which its numerator is less than its denominator, meaning its value is less than 1. For example, and are.

Simplifying Radicals Unit VIII, Lesson 4 Online Algebra

Holt Algebra Division Properties of Exponents 7-4 Division Properties of Exponents Holt Algebra 1 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson.

Chapter 4.6 Complex Numbers. Imaginary Numbers The expression does not have a real solution because squaring a number cannot result in a negative answer.

Algebra 2 Lesson 7-2 (Page 368) ALGEBRA 2 LESSON 7-2 Multiplying and Dividing Radical Expressions 7-2.

(Multiplying and Dividing Fractions).   Find common denominator  Make sure you have the lowest common denominator to make your job easier in the end!

Mixed Numbers and Improper Fractions

The Product and Quotient rules

Simplifying Rational Expressions

Fractions: Adding and Subtracting Like Denominators

Evaluate the following expressions:

What Are We Learning Today?

Fractions: Adding and Subtracting Like Denominators

Converting Mixed Numbers & Improper Fractions

Mixed Numbers and Improper Fractions

Equivalent Fractions.

Fractions VI Adding Like Denominators

Fractions Mixed Numbers

Converting Mixed and Improper Fractions

Divide Remainder forms a fraction Step 1: Step 1: Step 2:

Mixed Numbers and Improper Fractions

Fractions VII Adding Like Denominators

Fractions V Mixed Numbers

Fractions V Mixed Numbers

Fractions VII Subtracting Like Denominators

Equivalent Fractions.

Presentation transcript:

Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah

Perfect Numbers In this presentation you will learn what perfect numbers are and how to identify them. You will look at whole numbers, fractions, and negative numbers.

Definition A Perfect Number is a number that has equal factors.factors

Examples of perfect numbers 4 = 2x225 = 5x51= 1x1 64 = 8x881 = 9x936 = 6x6 The numbers in black are all perfect squares because they have 2 equal factors.

More Examples of Perfect Numbers 8 = 2x2x21000 = 10x10x = 5x5x5 The numbers in black are perfect cubes because they have 3 equal factors.

TRY THESE !!! Three of the following numbers are perfect squares. Two of the following numbers are perfect cubes? Find both of the perfect cubes before you go on

No This is a Perfect Square. This number has two equal factors. Return

Yes This is a Perfect Cube. This number has three equal factors.

Factor A factor is a number that divides into another with no remainder.  2 is a factor of 6 because:  2 divides into 6 three times with no remainder  2 is not a factor of 7 because:  2 divides into 7 three times with a remainder of one

Special numbers In addition to whole numbers, you will look at fractions and negative numbers. The Rule for perfect numbers still applies to fractions and negative numbers. Rule Remember – Numbers can be perfect squares or perfect cubes.

Remember !!! A Perfect Number is a number that has equal factors.

Fractions that are perfect numbers If both the numerator and denominator are perfect squares or if both are perfect cubes, then the fraction is perfect. ¼ = ½ x ½ 9/25 = 3/5 x 3/5 8/27 = 2/3 x 2/3 x 2/3 3/25 is not perfect because 3 is not perfect. 4/27 is not perfect because 4 is a perfect square and 27 is a perfect cube.

Which two fractions are perfect? 9/25 16/21 1/ /25

Good Job !!! This number is Perfect. Return

Sorry Review the Rules This number is not Perfect. Back to the quiz

Remember !! Note: If both the numerator and denominator are perfect squares or if both are perfect cubes, then the fraction is perfect. A Perfect Number is a number that has equal factors.

Negative Numbers that are Perfect Perfect cubes can be negative. -8 is perfect because -8 = -2 x -2 x -2 Perfect squares cannot be negative. -4 is not perfect because -4 does not have two equal factors. (-2 x -2  -4 and 2 x 2  -4)

Which two are perfect?

Good Job !!! This number is Perfect. Return

Sorry Review the Rules This number is not Perfect. Back to the quiz

Remember !! Perfect cubes can be negative. Perfect squares cannot be negative. A Perfect Number is a number that has equal factors.

Final Quiz End Click on numbers that are perfect. ( There are 6.) / /7 - 8/27

Good job!! Find More This number is Perfect!!!

Sorry TRY AGAIN This number is Not Perfect!!