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Aim: What is scientific notation? Shorthand for writing numbers. Example: Age of the Earth is 4,600,000,000 years old. Another way to express this large value in scientific notation is: 4.6 x 10 9 Numbers greater than one will have a positive exponent: 1.5 x 10 6
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Try these examples: 1.5,700 = 2.8.4 x 10 5 = 3.3,476 = 4.5.987 x 10 7 = 5.35,000,000 = 5.7 x 10 3 840,000 3.476 x 10 3 59,870,000 3.5 x 10 7
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When the numerical values are smaller than one, but not less than zero, the exponent will have a negative exponent: 1.4 x 10 -2 Example: The average sand-sized particle is 0.1 centimeters. Another way to express this value in scientific notation is 1.0 x 10 -1 cm
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Try these examples: 1.0.001 = 2.2.8 x 10 -4 = 3.0.000284 = 4.3.14 x 10 -2 = 5.0.0004 = 1.0 x 10 -3 0.00028 2.84 x 10 -4 0.0314 4.0 x 10 -4
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Summary 1.The equatorial diameter of Jupiter is 142,800 kilometers. What is this value in scientific notation? 2.The temperature of the star Polaris is approximately 6,000°C. What is this value in scientific notation?
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3.The atmospheric pressure in the troposphere is 10 0 atmospheres. What is this numerical value? 4.The center of Earth (inner core) can have an internal temperature of 6.7 x 10 3 °C. What is this numerical value? 5.Find the half-life value of Carbon- 14 on the ESRT. What is the scientific notation and numerical value?
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