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10.6 Scientific Notation

10.6 Scientific Notation. Objective. Use scientific notation to represent numbers and to describe real-life situations. EQ: How do you write large and small numbers in scientific notation.

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10.6 Scientific Notation

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  1. 10.6 Scientific Notation Objective Use scientific notation to represent numbers and to describe real-life situations. EQ: How do you write large and small numbers in scientific notation. The Basics: Large numbers (greater than 10) have positive exponents while small numbers (between 0 and 1) have negative exponents. Examples: 540,000,000 can be written as 5.4 x

  2. Write each number in scientific notation. Ex. 52,300 When the number is greater than 1, use a positive exponent equal to the number of places the decimal is moved 52,300 = 5.23 x 104 Ex. 3.2 = 3.2 x 100 Ex. 0.0471 When the number is less than 1, use a negative exponent equal to the number of places the decimal is moved. 0.0471 = 4.71 x 10–2 Ex. 0.0000428 = 4.28 x 10–5

  3. Practice: Write the following numbers in scientific notation. 1) Google purchased YouTube for $1,650,000,000. Write this number in scientific notation. Large number

  4. The 2004 Indonesian earthquake slowed the rotation of Earth, making the length of a day 0.00000268 second shorter. Write this number in scientific notation.

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