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Algebra. 8.4 Scientific Notation. The Form. A number is written in scientific notation when it is in the form. The Form. Not Scientific Notation. Scientific Notation. Large and small values.
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Algebra 8.4 Scientific Notation
The Form A number is written in scientific notation when it is in the form
The Form Not Scientific Notation Scientific Notation
Large and small values One purpose of scientific notation is to allow you to write very large numbers and very small numbers easily, without lots of 0’s. Large numbers have positive exponents. 84,912 Small numbers have negative exponents. .000265
Scientific NotationDecimal Move decimal point right for positive exponent. Move decimal point left for negative exponent. 3128 1. 64,000 2. .39 3. .0000612 4.
DecimalScientific Notation Move decimal point right or left to arrange one digit to the left of decimal point. 52,314 1. Move left 4 places 3.2 No need to move 2. .0000428 Move right 5 places 3. 602,000,000 Move left 8 places 4.
Exercises Rewrite in decimal form. 283.4 1. .00000123 2. Rewrite in scientific notation. 34,690 3. .039 4.
Computing with Scientific Notation Another purpose of scientific notation is to allow you to compute with large and small values easily using the rules of exponents. Numbers can be multiplied.
Computing with Scientific Notation Numbers can be divided.
Exercise Evaluate. Write answer in scientific notation. Associative property Simplify Rewrite in SN
Exercise Evaluate. Write answer in scientific notation. Associative property Subtract exponents Simplify to SN
Homework pg. 473 #16-46