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ALGEBRA 1 LESSON 8-2 Simplify each expression – – Simplify –1. Scientific Notation 8-2

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ALGEBRA 1 LESSON = 6 10,000 = 60, –2 = = = ,000 = 820, –3 = = = = = = –1 = ( ) + ( ) + ( ) + (8 10 –1 ) = (3 100) + (6 10) + (7 1) + (8 0.1) = = Scientific Notation Solutions 8-2

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ALGEBRA 1 LESSON 8-2 Is each number written in scientific notation? If not, explain. a No; 0.46 is less than 1. b –2 yes c No; 13.2 is greater than 10. Scientific Notation 8-2

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Write each number in scientific notation. a. 234,000,000 Drop the zeros after the b –5 Drop the zeros before the 6. ALGEBRA 1 LESSON 8-2 Move the decimal point 8 places to the left and use 8 as an exponent. 234,000,000 = Move the decimal point 5 places to the right and use –5 as an exponent = Scientific Notation 8-2

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Write each number in standard notation. a. elephants mass: kg = 88,000 b. ants mass: –5 kg = ALGEBRA 1 LESSON = A positive exponent indicates a number greater than 10. Move the decimal point 4 places to the right –5 = A negative exponent indicates a number between 0 and 1. Move the decimal point 5 places to the left Scientific Notation 8-2

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Jupiter Earth Neptune Mercury mi mi mi mi Planet Distance from the Sun List the planets in order from least to greatest distance from the sun. Order the powers of 10. Arrange the decimals with the same power of 10 in order. ALGEBRA 1 LESSON 8-2 Scientific Notation 8-2

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(continued) Mercury Earth JupiterNeptune From least to greatest distance from the sun, the order of the planets is Mercury, Earth, Jupiter, and Neptune. ALGEBRA 1 LESSON 8-2 Scientific Notation 8-2 Jupiter Earth Neptune Mercury mi mi mi mi Planet Distance from the Sun

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Order , , 6103, and from least to greatest. Write each number in scientific notation Order the powers of 10. Arrange the decimals with the same power of 10 in order Write the original numbers in order ALGEBRA 1 LESSON 8-2 Scientific Notation 8-2

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Simplify. Write each answer using scientific notation. ALGEBRA 1 LESSON 8-2 6(8 10 –4 ) a. = –4 Simplify inside the parentheses. = –3 Write the product in scientific notation. 0.3( ) b. = Simplify inside the parentheses. = Write the product in scientific notation. Scientific Notation Use the Associative Property of Multiplication. (6 8) 10 –4 = Use the Associative Property of Multiplication. ( ) 10 3 = 8-2

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ALGEBRA 1 LESSON Write each number in scientific notation. a b. 3,486,000 2.Write each number in standard form. a b –6 3.Order the following numbers from least to greatest –1, , –1, Simplify. Write the answer in scientific notation. 7( –2 ) – , –1, –1, , –1 Scientific Notation 8-2

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