# 7.2 Powers of 10 and Scientific Notation

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7.2 Powers of 10 and Scientific Notation
Pg. 452

Definition Powers of 10 Scientific Notation
Exponential form, where the base is 10 raised to some power Scientific Notation All numbers can be represented as a number between 1 and 10, times 10 raised to a power

Knowledge Scientific Notation Numbers Decimal Notation
Numbers that are … something times 10 raised to a power When converting to Decimal Notation Negative Exponents (powers), will move the decimal point to the left Positive Exponents (powers), will move the decimal point to the right Decimal Notation Any number that is not … times 10 raised to a power When converting to Scientific Notation Moving the decimal point to the right will have a negative exponent on the “10” Moving the decimal point to the left will have a positive exponent on the “10”

Powers of 10 Each time you divide by 10, the decimal point moves one place to the left Each time you multiply by 10, the decimal point moves one place to the right Power Value

Example #1, Evaluating Powers of 10
Find the value of each power of 10. Always start with “1” and move the decimal point

Example #2, Writing Powers of 10
Write each number as a power of 10

Example #3, Multiplying by Powers of 10
Find the value of each expression

Homework Pg. 455, 14 – 42 Even