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To divide numbers in scientific notation: divide the digit terms and subtract the exponents. (A x 10)/(B x 10²) (A/B) x 10y-z (5.6 x 105)/(1.8 x 10²) = (5.6/1.8) x 105-2 = 3.1 x 10³ (You may have to put numbers back in proper notation!) Perform these calculations (2.2 x 104) (1.3 x 10²) = (1.6 x 1033)/(1.3 x 10-6) = (4.6 x 1022) (1.2 x 10-8) = (5.6 x 107)/(1.0 x 10²) = (2.6 x 10²) (1.1 x 10-²) = not used this semester. Before Adding and subtracting in scientific notation performing this function you must make the exponents the same first. 1.0 x 102 Example: 1.2 x 105 + You can't just add the digit terms because one is really a very large number so either take them both out of notation then add 120000 + 100 = 120100 or write one of the numbers out of proper notation in order to get the same exponent: now write in proper notation 1.201 x 105 1200 x 102 +1.0 x 10² = 1201 x 10²

To divide numbers in scientific notation: divide the digit terms and subtract the exponents. (A x 10)/(B x 10²) (A/B) x 10y-z (5.6 x 105)/(1.8 x 10²) = (5.6/1.8) x 105-2 = 3.1 x 10³ (You may have to put numbers back in proper notation!) Perform these calculations (2.2 x 104) (1.3 x 10²) = (1.6 x 1033)/(1.3 x 10-6) = (4.6 x 1022) (1.2 x 10-8) = (5.6 x 107)/(1.0 x 10²) = (2.6 x 10²) (1.1 x 10-²) = not used this semester. Before Adding and subtracting in scientific notation performing this function you must make the exponents the same first. 1.0 x 102 Example: 1.2 x 105 + You can't just add the digit terms because one is really a very large number so either take them both out of notation then add 120000 + 100 = 120100 or write one of the numbers out of proper notation in order to get the same exponent: now write in proper notation 1.201 x 105 1200 x 102 +1.0 x 10² = 1201 x 10²

General Chemistry - Standalone book (MindTap Course List)
General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Chapter1: Chemistry And Measurement
Section: Chapter Questions
Problem 1.35QP: For these questions, be sure to apply the rules for significant figures. a You are conducting an...
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To divide numbers in scientific notation: divide the digit terms and subtract the exponents. (A x 10)/(B x 10²) (A/B) x 10 Y-z (5.6 x 105)/(1.8 x 10²) = (5.6/1.8) x 105-2 (You may have to put numbers back in proper notation!) Perform these calculations (2.2 x 104) (1.3 x 10²) = (1.6 x 1033)/(1.3 x 10-6) = (4.6 x 1022) (1.2 x 10-8) = (5.6 x 107)/(1.0 x 10²) = (2.6 x 10²) (1.1 x 10-²) = = 3.1 x 10³ not used this semester. Before Adding and subtracting in scientific notation performing this function you must make the exponents the same first. 1.0 x 102 Example: 1.2 x 105 + You can't just add the digit terms because one is really a very large number so either take them both out of notation then add 120000 + 100 = 120100 or write one of the numbers out of proper notation in order to get the same exponent: now write in proper notation 1.201 x 105 1200 x 102 +1.0 x 10² = 1201 x 10²
Transcribed Image Text:To divide numbers in scientific notation: divide the digit terms and subtract the exponents. (A x 10)/(B x 10²) (A/B) x 10 Y-z (5.6 x 105)/(1.8 x 10²) = (5.6/1.8) x 105-2 (You may have to put numbers back in proper notation!) Perform these calculations (2.2 x 104) (1.3 x 10²) = (1.6 x 1033)/(1.3 x 10-6) = (4.6 x 1022) (1.2 x 10-8) = (5.6 x 107)/(1.0 x 10²) = (2.6 x 10²) (1.1 x 10-²) = = 3.1 x 10³ not used this semester. Before Adding and subtracting in scientific notation performing this function you must make the exponents the same first. 1.0 x 102 Example: 1.2 x 105 + You can't just add the digit terms because one is really a very large number so either take them both out of notation then add 120000 + 100 = 120100 or write one of the numbers out of proper notation in order to get the same exponent: now write in proper notation 1.201 x 105 1200 x 102 +1.0 x 10² = 1201 x 10²
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