Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Chapter 1 Chemistry and Measurements 1.4 Scientific Notation People have an average of 1 x 10 5 hairs on their scalp. Each hair is about 8 x 10 −6 m wide. 1

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Writing a Number in Scientific Notation Numbers written in scientific notation have three parts: coefficient power of 10 unit To write 2400 m in correct scientific notation: the coefficient is 2.4 the power of 10 is 3 the unit is "m" 2

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Writing a Number in Scientific Notation m = 2.4 x 1000 = 2.4 x 10 3 m  3 places coefficient x power of 10 unit g = = 8.6 x 10 −4 g 4 places  coefficient x power of 10 unit 3

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Some Powers of 10 4

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Some Powers of 10 5

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Measurements in Scientific Notation Diameter chickenpox virus = m = 3 x 10 −7 m 6

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Some Measurements Written in Scientific Notation 7

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Scientific Notation and Calculators Number to enter: 4 x 10 6 Enter:4 EXP (EE) 6 Display: 4 06 or E06 Number to enter: 2.5 x 10 −4 Enter:2.5 EXP (EE) +/− 4 Display: 2.5 −04 or 2.5 − E−04 8

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Learning Check Write each of the following in correct scientific notation: A. 64,000 g B m C. 138 mL 9

Chemistry: An Introduction to General, Organic, and Biological Chemistry, Eleventh Edition Copyright © 2012 by Pearson Education, Inc. Solution Write each of the following in correct scientific notation: A. 64,000 g6.4 x 10 4 g B m2.1 x 10 −2 m C. 138 mL1.38 x 10 2 mL 10