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Operating With Scientific Notation 3-4 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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Operating With Scientific Notation 3-4 Warm Up Write each number in scientific notation x x ,091, x10 4

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Operating With Scientific Notation 3-4 Problem of the Day The population of the Earth reached 6,690,000,000 in How can you represent this population in scientific notation? 6.69x10 9

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Operating With Scientific Notation 3-4 Learn Operate with scientific notation in real- world situations.

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Operating With Scientific Notation 3-4 Masses of objects in space are so great that astronomers often need to use scientific notation to describe them. The approximate masses of planets in the solar system are given in the table.

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Operating With Scientific Notation 3-4 You can use the properties of exponents to multiply and divide numbers expressed in scientific notation. Helpful Hint

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Operating With Scientific Notation 3-4 Additional Example 1: Division With Scientific Notation Pluto was demoted from planet to dwarf planet in 2006, in part because of its small size. The mass of Pluto is about kg. About how many times smaller is Plutos mass than Earths mass? Write a unit ratio, or divide, to find how many times. Write the ratio of Earths mass to Plutos mass. Divide the coefficients and divide the powers. Subtract exponents. Write the result in scientific notation. About , or about 460, times smaller

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Operating With Scientific Notation 3-4 Check It Out: Example 1 About how many times greater is the mass of Saturn than the mass of Earth? Write your answer in scientific notation. Write a unit ratio, or divide, to find how many times. Write the ratio of Saturns mass to Earths mass. Divide the coefficients and divide the powers. Subtract exponents. Write the result in scientific notation. Saturns mass is about times the mass of Earth

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Operating With Scientific Notation 3-4 Additional Example 2: Multiplication with Scientific Notation The mass of Venus is about 66 times the mass of the moon. What is the mass of the moon? Write your answer in scientific notation. The mass of the moon is about kg. Solve for the mass of the moon kg mass of moon kg 66 mass of moon kg kg

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Operating With Scientific Notation 3-4 Check It Out: Example 2 The average mass of a grain of sand on a beach is about –5 g. There are about grains of sand in a beach volleyball court. What is the mass of the grains of sand in the beach volleyball court? Mass of grains of sands in court =(1.5 x g)(6.1 x ) = 9.15 x 10 7 g

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Operating With Scientific Notation 3-4 A number written in scientific notation has one factor greater than or equal to 1 and less than 10 and the other factor a power of 10. Remember!

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Operating With Scientific Notation 3-4 Additional Example 3: Addition and Subtraction with Scientific Notation The water in Mono Lake, CA, was used for residents of LA. As a result, the lakes volume, in acre-feet, dropped from to from 1941 to After becoming protected, the lake increased in volume by acre-feet in the next 20 years. What was its volume in 2002? 2.1 x x Rewrite so that the powers are the same; then add. Write the result in scientific notation. The volume was about acre-feet.

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Operating With Scientific Notation 3-4 Check It Out: Example 3 How much greater is the mass of Neptune than the mass of Earth? Write your answer in scientific notation. Write your answer in scientific notation. Neptunes is about kg greater in mass than Earth kg kg kg kg kg kg

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Operating With Scientific Notation 3-4 Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

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Operating With Scientific Notation 3-4 Write your answer in scientific notation. 1. The GDP of China in 2009 was about $8.7 x The GDP of Togo in 2009 was about $5.5 x How many times greater was Chinas GDP than Togos GDP in 2009? 1.58 x 10 3 times greater 2. A web site averages 4.5 x 10 4 hits per day. How many hits will it get in 3.6 x 10 2 days? 1.62 x 10 7 hits

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Operating With Scientific Notation Two companies merged to form a new company. One company was worth $3.5 x The other was worth $7.8 x What is the combined value of the new company? $8.15 x 10 8

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Operating With Scientific Notation 3-4 Lesson Quiz for Student Response Systems 1. Perform the indicated operation. Write your answer in scientific notation. (8.3 x ) (4.3 x ) A B C D Perform the indicated operation. Write your answer in scientific notation. (8.3 x ) (4.3 x ) A B C D

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