If the average song in the MP3 format consumes about 4.\) miles. If one mole is about 6 × 10 23 molecules, then approximate the weight of each molecule of water.ĩ0.Ě gigabyte is 1 × 10 9 bytes and a megabyte is 1 × 10 6 bytes. Water weighs approximately 18 grams per mole. What is the circumference of the orbit of the sun around the galaxy in meters?Ĩ9. The distance from the center of our galaxy to the sun is approximately 26,000 light years. Step One: Rewrite the Value with Negative Exponent as a Fraction Since we are performing division (the inverse of multiplication), we will rewrite the value as a fraction with a numerator of one. Negative exponent rule: A negative exponent located in the numerator is changed to positive, and is moved to the denominator. The sun moves around the center of the galaxy in a nearly circular orbit. If the world population was estimated to be 6.67 billion people in 2007, then estimate the world ant population at that time.Ĩ8. It is estimated that there are about 1 million ants per person on the planet. If the distance to the nearest star to our sun, Proxima Centauri, is estimated to be 3.991 × 10 16 meters, then calculate the number of years it would take light to travel that distance.Ĩ7. One light year, 9.461 × 10 15 meters, is the distance that light travels in a vacuum in one year. By what factor is the radius of the sun larger than the average distance from earth to the moon?Ĩ6. When we have a fraction with a root in the denominator, like 1/2, its often desirable to manipulate it so the denominator doesnt have roots. The radius of the sun is 4.322 × 10 5 miles and the average distance from earth to the moon is 2.392 × 10 5 miles. By what factor is the mass of the sun greater than the mass of earth? Express your answer in scientific notation.Ĩ5. The mass of the sun is 1.99 × 10 30 kilograms and the mass of earth is 5.97 × 10 24 kilograms. By what factor is the mass of earth greater than the mass of the moon?Ĩ4. For example, when you see x-3, it actually stands for 1/x3. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. The mass of earth is 5.97 × 10 24 kilograms and the mass of the moon is 7.35 × 10 22 kilograms. A negative exponent helps to show that a base is on the denominator side of the fraction line. Calculate the population density of New York City.Ĩ3. ![]() In 2008 the population of New York City was estimated to be 8.364 million people. If the total land area on earth is 5.751 × 10 7 square miles and the population in 2007 was estimated to be 6.67 × 10 9 people, then calculate the population density of earth at that time.Ĩ2. The population density of earth refers to the number of people per square mile of land area. How much will the MP3 player be worth in 9 years?ĥ1. a n 1 a n 1 a × 1 a × n t i m e s For example, 4 -3 Here, the base number is 4 and the exponent is -3. ![]() How much will the MP3 player be worth in 4 years?ĥ0. Negative Exponent Rule 1: For every number a with negative exponents -n (i.e.) a -n, take the reciprocal of the base number and multiply the value according to the value of the exponent number. How much will the MP3 player be worth in 1 year?Ĥ9. How much was the MP3 player worth new?Ĥ8. The value in dollars of a new MP3 player can be estimated by using the formula V = 100 ( t 1 ) − 1, where t is the number of years after purchase.Ĥ7. zip file containing this book to use offline, simply click here. We can also simplify x2x5 x 2 x 5 by dividing. You can browse or download additional books there. We subtract the exponent in the denominator from the exponent in the numerator. More information is available on this project's attribution page.įor more information on the source of this book, or why it is available for free, please see the project's home page. Additionally, per the publisher's request, their name has been removed in some passages. However, the publisher has asked for the customary Creative Commons attribution to the original publisher, authors, title, and book URI to be removed. Normally, the author and publisher would be credited here. This content was accessible as of December 29, 2012, and it was downloaded then by Andy Schmitz in an effort to preserve the availability of this book. ![]() See the license for more details, but that basically means you can share this book as long as you credit the author (but see below), don't make money from it, and do make it available to everyone else under the same terms. This book is licensed under a Creative Commons by-nc-sa 3.0 license.
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