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Scientific Notation

This lesson focuses on scientific notation, teaching how to express large values in a concise format. It demonstrates moving the decimal point to express numbers between 1 and 10. We cover various examples, including the mean distance from Mars to the sun and light travel time from the sun to Earth. Learn the method to write large numbers as products of two factors and how to express them in powers of ten. Understanding these principles is crucial for handling large values in science and mathematics effectively.

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Scientific Notation

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  1. Move the decimal point to get a factor greater than 1 but less than 10. . 141,750,000 = 1.4175  100,000,000 Write as a product of 2 factors. Write 100,000,000 as a power of 10. = 1.4175  108 COURSE 2 LESSON 3-2 Scientific Notation The mean distance from Mars to the sun is about 141,750,000 mi. Write this number in scientific notation. 1 41,750,000. The mean distance from Mars to the sun is about 1.4175  108 mi. 3-2

  2. 4.99012  102 = 4.99012  100 Write as a product of 2 factors. = 499.012 Multiply the factors. The exponent is 2. Move the decimal 2 places to the right. 4.99012  102 = 4.99012 COURSE 2 LESSON 3-2 Scientific Notation Light from the sun reaches Earth in about 4.99012  102 s. Write this time in standard form. Method 1 Method 2 = 499.012 The time is about 499.012 s. 3-2

  3. COURSE 2 LESSON 3-2 Scientific Notation Write in scientific notation. 1. 45,300 2. 714,900,000 Write in standard form. 3. 5.7  1034. 6.034  106 4.53  104 7.149  108 5,700 6,034,000 3-2

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