3B Putting Numbers in Perspective

# 3B Putting Numbers in Perspective - 1 2 If moving the...

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Putting Numbers in Perspective Monday January 10, 2011 (continued) Writing Large and Small Numbers Scientiﬁc notation is a format in which a number is expressed as a number between 1 and 10 (not including 10) multiplied by 10 raised to some power. Example 1. Rewrite each in scientiﬁc notation 1. My tuition and fees this semester are \$12,517 2. The average weight of a an FSU alum’s brain is 0.00006 lbs. Working With Scientiﬁc Notation Converting to Scientiﬁc Notation: 1. Move the decimal so that there is one digit to the left. 2. Fore the power of 10, use the number of decimal place moves. If the decimal was moved to the left, the power is positive, if the decimal was moved to the right the power is negative. Example 2. Convert to scientiﬁc notation: 1. 3042 2. 0.00012 3. 226 × 10 6 Converting from Scientiﬁc Notation: 1. The power of 10 indicates how many paces to move the decimal point; move the decimal to the right if the power of 10 is positive, move the decimal to the left if the power of 10 is negative.

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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 × 10-3 • 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 × 10-2 8 . 4 × 10-5 = ··· = 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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3B Putting Numbers in Perspective - 1 2 If moving the...

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