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Name Date Scientific Notation Write the following in scientific notation: 1. 384.32 2. 87521 3. 3910.28 × 104 4. 0.001247 Write the following in standard form: 5. 3.23 × 106 6. 1.589 × 104 7. 8.29

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How to fill out scientific notation - teach-nology.com:

1. Understand the concept of scientific notation: Scientific notation is a way of expressing very large or very small numbers in a more compact and manageable form. It consists of a coefficient (a number between 1 and 10) multiplied by 10 raised to a specific power. For example, 6.02 x 10^23 is a number written in scientific notation.
2. Determine the coefficient: The coefficient is the number between 1 and 10. To determine the coefficient, count the number of digits in the original number and move the decimal point to create a number between 1 and 10. If the original number is greater than or equal to 10, the coefficient is obtained by dividing the original number by 10 raised to the power of the number of digits after the decimal point.
3. Calculate the exponent: The exponent indicates the power of 10 that the coefficient is multiplied by. It is obtained by counting the number of places the decimal point needs to be moved to reach the original number in scientific notation. If the decimal point is moved to the left, the exponent is positive, and if it is moved to the right, the exponent is negative.
4. Write the number in scientific notation: Once you have determined the coefficient and the exponent, write the number in scientific notation by placing the coefficient followed by the letter "x" and then 10 raised to the power of the exponent. For example, if the coefficient is 6.02 and the exponent is 23, the number in scientific notation would be written as 6.02 x 10^23.

Who needs scientific notation - teach-nology.com?

1. Scientists and researchers: Scientific notation is commonly used in scientific and mathematical fields to express very large or very small numbers encountered in calculations, measurements, and data analysis. It allows for easier representation and manipulation of these numbers.
2. Engineers: In engineering disciplines, scientific notation is often used to express values such as distances, weights, and physical constants that can range from extremely small to incredibly large. It helps in calculations and maintaining accuracy in engineering designs.
3. Students and educators: Scientific notation is an important concept taught in math and science education. It allows students to understand and work with numbers in a more efficient and concise manner. Educators often use scientific notation to teach exponential notation and to demonstrate the applications of math in various fields.
4. Financial and business professionals: In finance and business, scientific notation is used to represent large financial figures, such as market capitalization, company assets, and GDP. It simplifies computations and enhances readability when dealing with numbers that have multiple zeros.
5. Astronomers and astrophysicists: In the study of celestial bodies and astronomical phenomena, scientific notation is crucial to express distances between objects, the size of celestial bodies, and the vast numbers encountered in cosmological calculations. It allows for a better understanding and study of the universe.

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