ALICE IN IMP WORLD PART I: Alice, from Alice in Wonderland, chuck cake in which causes her to bring up and drinks a beverage that causes her to shrink. For this building block of measurement, exponents impart represent the turn of ounces Alice ingest or drinks. Base 2 cake or beverage leave be the close to common, but she eats and drinks a variety of ascendents. In this unit we ordain encounter laws in place of exponential development or shrinking. We will learn the reasons wherefore A^0 equals 1 and why we add, rather of multiply, when using the additive exponent law. As we chance on through Alice, exponents will become easier and easier to understand, it will teach us just HOW much a turn of cake or beverage can grow or shrink Alice, depending on the base. Logs will become part of our unit as good and will lead us into scientific notation. As we discontinue the Alice unit our understanding of exponents will grow stronger and hopefully tryout scores will impro ve. PART II: To understand Alices developing and shrinking, we had to understand many exponential laws. here(predicate) are the seven we came up with (After several exercises): 1. A-x= 1/Ax OR 1/B-x = Bx IN TERMS OF ALICE: Alice drinks X ounces of base A beverage. Because Alice cannot eat -X ounces of cake, it is the family as drinking. To disembowel it more(prenominal) understandable, we change A-x to 1/Ax.
This leaves us with the drool situation: Alice drinks X ounces of base A beverage instead of Alice eats cast out X ounces of base A cake. EXAMPLE: 3^-2 1/3^2 1/27 Which equals approximately .037 Beca use -2 does not make sense in our heads, (we! expect a minute existence multiplied by a prejudicious sum of time to be a negative...) we change the formula to 1/3^2, which is easier to understand. GRAPH: prorogue: 1/3*3 When using negative exponents, or any exponents, the numbers will never striking zero. The number will keep cohereting smaller by the number the base is, which in terms of Alice, would be the same as drinking the beverage. IN GENERAL: A-x= 1/Ax...If you motivation to get a full essay, order it on our website: OrderCustomPaper.com
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