Properties of  Real Numbers

byMrs. Alvarez's Algebra 1 Class

Period 3

byKaty Prather,

Emma Delk andDestanee Stevenson

Distributive Property

Definition of the Distributive Property

• The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

• The Distributive Property is a way that you multiply one or more terms inside parentheses.

Examples Of Distributive Property

A(B+C) = AB+AC6(5+2) = 30+12 = 42

Examples 

              2(3+4)=(2*3)+(2*4)        The answer is 14.

              5(2+4)=(5*2)+(5*4)         The answer is 30.

Real Life Example

People distribute money in the same way that a number is distributed and multiplied to other numbers.

Websites

• "Distributive property Definition | Definition of Distributive property at Dictionary.com." Dictionary.com | Find the Meanings and Definitions of Words at Dictionary.com. Web. 03 Oct. 2009. <http://dictionary.reference.com/browse/distributive+property>.

• "Algebra.help -- Simplifying Using the Distributive Property." Algebra.help -- Calculators, Lessons, and Worksheets. Web. 03 Oct. 2009. <http://www.algebrahelp.com/lessons/simplifying/distribution

• "Money Grab on Flickr - Photo Sharing!" Welcome to Flickr - Photo Sharing. Web. 03 Oct. 2009. <http://www.flickr.com/photos/sgw/2892058635/.>.

Identity Property

By: Craig and Albert

What is the Identity Property? 

A property that generates the same value almost like a reflection such as: 

1 x 25=25

0 + 25=25

25 / 1=25

Examples

1 x 25= 25

0 + 25= 25

25 / 1= 25

1 x 5= 5

Basically an equation that equals itself

A Real Life Example

I chose a mirror to represent the Identityproperty because the equal sign represents a mirror.

Ex:0 + 5= 5

Bibliography 

• Web. 01 Oct. 2009. <http://www.mathleague.com>.• "Identity Property." LearningWave home page. Web. 01 Oct. 2009.

<http://www.learningwave.com/lwonline/numbers/identity.html>.• Web. 01 Oct. 2009.

<http://www.icoachmath.com/sitemap/identitypropertiesofadditionandmultiplication.html>.

Zero Property

BY: Heather Ashley Reichardand

Ashley Marie Kern

The Definition of Zero Property

The definition of the zero property of multiplication states that if the product of one or more factors is zero than at least one of the factors is zero.

The definition of the zero property of addition is if you add zero and another number you get that number.

Example of the Zero Property

addition:  3 + 0 = 3

multiplication:  3 X 0 = 0

Real Life Exampleof zero property of addition

When you look in a mirror you see yourself. It's just like the zero property of addition. Let's say you are a number (4 for example) and you look into a mirror (add to zero). you stay the same, but you are looking at you reflection.(this property is sometimes called the identity property of addition.)

Zero Property of Multiplication

Anything you multiply to zero gives you...

        Z    E     R    O

Websites

http://www.mathematicsdictionary.com/english/vmd/full/z/zeropropertyofaddition.htm

http://www.utdanacenter.org/mathtoolkit/instruction/activities/7.php

http://similar-images.googlelabs.com/imgres?imgurl=http://i32.photobucket.com/albums/d26/duffman06021979/funny_pic_baby_looking_into_mirror.jpg&imgrefurl=http://www.india-forums.com/forum_posts.asp%3FTID%3D1169559&usg=___m8K8KIVHEN7IUi_jBCJ8nPiZLM=&h=332&w=447&sz=40&hl=en&start=4&tbnid=mGYwwiB2nO0VPM&tbnw=127&tbnh=94&qtype=landing&q=looking+into+mirrors&filetype=&prev=/images%3Fq%3Dlooking%2Binto%2Bmirrors%26ndsp%3D21&tprev=/images%3Fq%3Dlooking%2Binto%2Bmirrors%26ndsp%3D21&prevtype=text

http://www.mathleague.com/help/wholenumbers/wholenumbers.htm

Inverse Property

By: Tristan Barkdull, Effie Abigail Velasco & Ashley Tobin

         What Is inverse property

-The inverse of an operation gives the identity.

- The inverse property of addition is adding its opposite and getting the identity. 6 + (-6) = 0

-The inverse property of multiplication is multiplying the reciprocal to a number to get the identity. 36 x n = 36

Example of Inverse Property

Addition: 5+(-5)=0

Multiplication: 48 x n = 48

Real Life Example

A real life example of inverse property is 

Works Cited "Cool math Pre-Algebra Help Lessons: Properties - The Additive Inverse Property." Cool math .com - An amusement park of math and more! Math lessons, math games, math practice, math fun! Web. 29 Sept. 2009. <http://www.coolmath.com/prealgebra/06-properties/07-properties-additive-inverse-01.htm>. "Math Forum: Ask Dr. Math FAQ: Glossary of Properties." The Math Forum @ Drexel University. Web. 29 Sept. 2009. <http://mathforum.org/dr.math/faq/faq.property.glossary.html>. Web. 29 Sept. 2009. <http://www.icoachmath.com/SiteMap/DictionaryDefinition.aspx?process=sitemap/inverseproperties&&AspxAutoDetectCookieSupport=1>. 

COMMUTATIVEProperty

 BY:

Erik and Robin 

THE DEFINITION  

•  The commutative property of addition says that we can add numbers in any order. The commutative property of multiplication is very similar. It says that we can multiply numbers in any order we want without changing the result.

• An operation is commutative if you can change the order of the numbers involved with out changing the results.  Addition and multiplication are both commutative. subtraction and divition is not commutative.

Examples 

•  3+2=2+3•  45x15=15x45• A+B=B+A• C x V=V x C

• 2-3=3-2•  It doesn't work for division either 

picure slide

The communicative property is when the numbers move but the answer stay the same.

This is numbers moving on a truck 

BIBLIOGRAPHY

"Algebra Basics - Properties of Real Numbers - In Depth." Math.com - World of Math Online. Web. 01 Oct. 2009. <http://www.math.com/school/subject2/lessons/S2U2L1DP.html>.

"Commutative property pictures - Search." Google. Web. 01 Oct. 2009. <http://www.google.com/search?hl=en&source=hp&q=commutative+property+pictures&btnG=Google+Search&aq=f&oq=&aqi=>

Associative Property

By: Jake Wheeler, Joseph Halstead, Hunter Gallegos

                  [1+2]+3=1+[2+3]

Definition of the Associative Property

• Giving an equivalent expression when elements are grouped without change of order, as (a + b) + c = a + (b + c).

• Your ordered sets of numbers stay the same, the only thing that changes is where the parenthesis go. Also this property is only true for addition and multiplication. 

Examples of Associative Property

• The associative property of addition will involve three or more numbers.

•  For Example (2+5)+4=11or 2+(5+4)=11• The associative property of multiplication, the product is always

the same.• Example: when we change the factors the product dose not

change.• (3x2)x4=24 or 3x(2x4)=24

Real Life Example 

                      

A real life example would be that three people are friends. One person is at another persons house and for what ever reason one left and went to the other persons house.

Bibliography

"Associative Definition | Definition of Associative at Dictionary.com." Dictionary.com | Find the Meanings and Definitions of Words at Dictionary.com. Web. 29 Sept. 2009. <http://dictionary.reference.com/browse/associative>.

"Associative Property." Math tutorials, resources, help, resources and Math Worksheets. Web. 29 Sept. 2009. <http://math.about.com/od/prealgebra/a/associative.htm>

Rebecca S. Lindsay's Tutoring Service." Rebecca S. Lindsay, Tutor. Web. 29 Sept. 2009. <http://www.loisterms.com/lois10.htm>.

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