1 / 13

Scientific Notation

Introduction to Chemistry for Allied Health Sciences Scientific Notation Kirk Hunter Chemical Technology Department Texas State Technical College Waco. Scientific Notation. SCIENTIFIC NOTATION. Any number can be written as power of ten. 356 = 3.56 x 10 2 0.046 = 4.6 x 10 -2.

kiayada-blanchard
Download Presentation

Scientific Notation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Introduction to Chemistryfor Allied Health SciencesScientific NotationKirk HunterChemical Technology DepartmentTexas State Technical College Waco

  2. Scientific Notation

  3. SCIENTIFIC NOTATION Any number can be written as power of ten. 356 = 3.56 x 102 0.046 = 4.6 x 10-2

  4. SCIENTIFIC NOTATION • When you write numbers in scientific notation, the decimal is always after the first non-zero digit. This number is called the coefficient. • The power of ten is called the exponent.

  5. SCIENTIFIC NOTATION • If the original number is greater than ten, the exponent is positive. Example: 325 = 3.25 x 102 • If the original number is less than one, the exponent is negative. Example: 0.00278 =2.78-3

  6. SCIENTIFIC NOTATION • Write the following numbers in scientific notation. 125 0.546 40,897 23.4 1065 67 0.0732 0.0048 0.00035

  7. SCIENTIFIC NOTATION • Write the following numbers in scientific notation. 125 0.546 40,897 23.4 1065 67 0.0732 0.0048 0.00035 1.25 * 102 4.0897 * 104 5.46 * 10-1 2.34 * 101 1.065 * 103 6.7 * 101 7.32 * 10-2 4.8 * 10-3 3.5 * 10-4

  8. SCIENTIFIC NOTATIONMath operations • Multiplication (3.5 x 102) x (2.0 x 103) = ? • Multiply the coefficients, add exponents. (3.5 x 2.0) x 10(2 + 3) = 7.0 x 105

  9. SCIENTIFIC NOTATIONMath operations Multiply the following: A. (2.1 x 103)x (2.0 x 102) B. (3.1 x 10-1) x (3.0 x 10-2) C. (4.0 x 105) x (2.0 x 10-3)

  10. SCIENTIFIC NOTATIONMath operations • Division 4.2 x 104 / 2.0 x 102 = ? • Divide the coefficients, subtract the exponents (4.2/2.1) x 10(4-2) = 2.1 x 102

  11. SCIENTIFIC NOTATIONMath operations Divide the following: A. (3.4 x 105)/(1.7 x10-2) B. (6.3 x10-3)/(2.1 x 10-3)

  12. SCIENTIFIC NOTATIONMath operations • Addition (1 .5 X103)+ (2.3 X 102)+ (2.0 X 103) All NUMBERS MUST HAVE THE SAME POWERS OF TEN (1.5 + 0.23 + 2.0) X 103 = 1.73 X 103

  13. SCIENTIFIC NOTATIONMath operations Add: A. (2.0 X 104)- (3.0 X 103) B. (6.4 X 102)+ (2.3 X 103) + (4.5 X 104)

More Related