Scientific Notation. exploration. 1. Complete the table of values for the powers of ten M8N1.j. 110 Holt Mathematics

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1 exploration Georgia Performance Standards M8N1.j 1. Complete the table of values for the powers of ten. Exponent Power Think and Discuss 2. Discuss the pattern you see in the table of values for powers of ten. 3. Explain how you know that Holt Mathematics

2 LAB Some numbers are so big that even calculators use scientific notation to display them. A scientific calculator displays numbers in standard form up to a certain number of digits. Beyond that limit, the calculator displays numbers in scientific notation. A scientific calculator makes it easy to multiply numbers in scientific notation. Activity 1 Technology Lab Using a scientific or graphing calculator, you can determine the distance a ray of light travels in one day. The calculator will display the answer in scientific notation when it exceeds the display limit. Light travels at a constant speed of 186,000 miles per second. To find out how far a ray of light travels in 1 minute, multiply 186,000 by 60 (1 minute 60 seconds) to get 11,160,000. To find out how far the light travels in an hour, multiply 11,160,000 by 60 (1 hour 60 minutes) to get 669,600,000 miles. Next, multiply 669,600,000 by 24 (24 hours 1 day). The calculator automatically converts the final answer to scientific notation. This number can be used for further calculations. 111 Holt Mathematics

3 LAB Technology Lab, continued Activity 2 A scientific calculator allows you to easily multiply numbers written in scientific notation. Take the final answer from the previous activity ( E10) and multiply that number by Enter the first number in scientific notation with the following EE keystrokes: nd, 10. Then press the multiplication button. Enter the second number with the following keystrokes: nd 3. Then press Enter to obtain the product. EE, Think and Discuss 1. Which of the following products is displayed in scientific notation on your calculator? 9,217,400, ,474, ,247, Were both of them displayed in scientific notation? Why or why not? Try This Perform each operation using a scientific calculator. 1. ( ) ( ) 2. ( ) ( ) 3. ( ) ( ) 112 Holt Mathematics

4 LESSON Review for Mastery Standard Notation ( 1st factor is ) ( 2nd factor is an ) between 1 and 10. integer power of , positive integer for large number negative integer for small number To convert from scientific notation, look at the power of 10 to tell how many places and which way to move the decimal point. Complete to write each in standard notation. Is the exponent positive or negative? Move the decimal point right or left? How many places? Write the number in standard notation Write each number in standard notation To convert to scientific notation, determine the factor between 1 and 10. Then determine the power of 10 by counting from the decimal point in the first factor to the decimal point in the given number. Complete to write each in scientific notation. What is the first factor? From its location in the first factor, which way must the decimal move to its location in the given number? How many places? 6. 32,000, Write the number in scientific notation. Write each number in scientific notation ,000, ,370,000, Holt Mathematics

5 LESSON Homework and Practice Write each number in standard notation Write each number in scientific notation ,000, ,631, ,005,000, The mass of the Earth is 5,980,000,000,000,000,000,000,000 kilograms. Write this number in scientific notation. 26. The mass of a dust particle is Write this number in standard notation. 114 Holt Mathematics

Chemistry 320 Approx. Time: 45 min

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