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Unformatted text preview: 1 2. If moving the decimal creates any open places, ﬁll them with zeros. Example 3. 1. 4 . 12 × 10 2 2. 3 . 6 × 10 6 3. 5 . 7 × 103 • Multiplication and Division with Scientiﬁc Notation: Operate on the powers of 10 (using addition or subtraction according to whether you are multiplying or dividing) and the digit separately. Be sure your ﬁnal answer is in scientiﬁc notation. Example 4. 1. (6 × 10 2 )(4 × 10 5 ) = (6 · 4) × (10 2 · 10 5 ) = 24 × 10 7 = 2 . 4 × 10 8 2. 4 . 2 × 102 8 . 4 × 105 = ··· = 5 × 10 2 • Addition and Subtraction with Scientiﬁc Notation: 1. Write numbers in ordinary notation. 2. Add or subtract. 3. Convert back to Scientiﬁc notation. Example 5. (3 × 10 6 ) + (5 × 10 2 ) (4 . 6 × 10 9 )(5 × 10 8 ) Remark If both numbers have the same power of 10, you can add or subtract the digit part of the scientiﬁc notation then convert to scientiﬁc notation if necessary. Example 6. (7 × 10 10 ) + (4 × 10 10 ) 2...
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 Spring '08
 Staff
 Scientific Notation, Addition, Decimal, Elementary arithmetic

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