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**Scientific Notation And Significant Digits**

Objective: to use scientific notation and significant digits

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Scientific notation A number expressed in the form of n × 10x where 1 < n < 10 and x is an element of the integers Example 2.3 × 103

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**Example change into scientific notation**

429,000,000 4.29 × 108 move the decimal 8 places to the left 7.05 × 104 move the decimal 4 places to the right

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Significant digits Number of digits that have a purpose other than a place holder Examples: 21000 has 2 significant digits has 4 significant digits 2.10 × 104 has 3 significant digits has 2 significant digits

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**Try These! Write each number in scientific notation**

103,000 (5.03 × 10-3)(3.32 × 105) 1.03 × 105 2.1 × 10-3 1.003 × 102 3 × 105 solution × 103 solution End Show

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Try These!

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(5.03 × 10-3)(3.32 × 105) (5.03 × 3.32)(10-3 × 105) × 102 × 103 Try These!

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????????? 2.898 x 10 -4 5.670 x 10 8 5.093 x 10 6 2.8125 x 10 -3 9.0 x 10 -7 What do the numbers to the left have in common? They all start with a number.

????????? 2.898 x 10 -4 5.670 x 10 8 5.093 x 10 6 2.8125 x 10 -3 9.0 x 10 -7 What do the numbers to the left have in common? They all start with a number.

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