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Scientific Notation Karen Cibrian. Definition Scientific notation is simply a method for expressing, and working with very large or very small numbers.

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Presentation on theme: "Scientific Notation Karen Cibrian. Definition Scientific notation is simply a method for expressing, and working with very large or very small numbers."— Presentation transcript:

1 Scientific Notation Karen Cibrian

2 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.

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

4 The three parts in scientific notation: Coefficient -> 6.5 Base -> 10 Exponent -> 7

5 Scientific Notation In Standard Form 5.67 x 10 5 This is the scientific notation for the standard number, 567,000. Now look at the number again, with the three parts labeled.

6 Example 5.67 x 10 5 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.

7 Notations Standard Notation Scientific Notation 93,000, x 10 7

8 Problem How do you write 5.9 x 10 7 in standard notation? A) 59,000 B) 59,000,000 C) 590 D) 590,000,000

9 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

10 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

11 THE END


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