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Scientific Notation And Significant Digits. Objective: to use scientific notation and significant digits. Scientific notation. A number expressed in the form of n × 10 x where 1 < n < 10 and x is an element of the integers Example 2.3 × 10 3. 429,000,000 0.000705.
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Scientific Notation And Significant Digits Objective: to use scientific notation and significant digits
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
429,000,000 0.000705 4.29 × 108move the decimal 8 places to the left 7.05 × 104move the decimal 4 places to the right Examplechange into scientific notation
Significant digits • Number of digits that have a purpose other than a place holder • Examples: • 21000 has 2 significant digits • 0.3021 has 4 significant digits • 2.10× 104 has 3 significant digits • 0.00021 has 2 significant digits
103,000 0.00210 0.01003 (5.03 × 10-3)(3.32 × 105) 1.03 × 105 2.1 × 10-3 1.003 × 102 3 × 105solution 1.66996 × 103solution Try These!Write each number in scientific notation End Show
(5.03 × 10-3)(3.32 × 105) • (5.03 × 3.32)(10-3 × 105) • 16.6996 × 102 • 1.66996 × 103 Try These!