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Scientific Notation Karen Cibrian

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Definition Scientific notation is simply a method for expressing, and working with very large or very small numbers. It is a short hand method for writing numbers, and an easy method for calculations.

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Numbers in scientific notation are made up of three parts: the coefficient, the base and the exponent.

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**The three parts in scientific notation:**

Coefficient -> 6.5 Base > 10 Exponent -> 7

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**Scientific Notation In Standard Form**

5.67 x 105 This is the scientific notation for the standard number, 567,000. Now look at the number again, with the three parts labeled.

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Example 5.67 x 105 coefficient base exponent In order for a number to be in correct scientific notation, the following conditions must be true: 1. The coefficient must be greater than or equal to 1 and less than The base must be The exponent must show the number of decimal places that the decimal needs to be moved to change the number to standard notation.

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Notations Standard Notation Scientific Notation 93,000, x 107

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Problem How do you write 5.9 x 107 in standard notation? A) 59,000 B) 59,000,000 C) 590 D) 590,000,000

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**How to Convert from Scientific Notation to Standard Form**

To change a number from scientific notation to standard form, move the decimal point to the right. You should move the point as many times as the exponent indicates. 3.8 x ,000,000

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**How To Convert from Scientific Notation To Standard For When The Exponent Is Negative**

A negative exponent means that the decimal is moved to the left when changing to standard notation. 2.5 x

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THE END

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