PPT-Scientific Notation, Conversions and Significant Digits

Learning Goals convert numbers to scientific notation convert measurements using the metric system identify the number of significant digits in a measurement Scientific Notation. Consider the coordinate system illustrated in Figure 1 Instead of using the typical axis labels and we use and or 1 The corresponding unit basis vectors are then and or 1 The basis vectors and have the following properties 1 1 0 2 Figu Precision and Design. Chapter 1. Chemistry: An Introduction. Section 1.1: Chemistry: The Science of Matter. Chemistry-the branch of science that deals with the study of the composition, structure, and properties of matter and the changes that matter undergoes. Objectives. Express numbers in scientific notation.. Convert from standard form to scientific notation.. Convert from scientific notation to standard form.. Add, Subtract, Multiply, and Divide with scientific notation.. Scientific Notation Intro. Scientific Notation. Consists of two parts. 1. mantissa. The full size number that comes before x 10. 2. characteristic. The exponent that comes after x 10 and is superscript. Measuring with Precision. Defn: Those numbers that result from directly measuring an object. It shows the precision of the measurement.. Units must be included (no units no sd). The precision of the measurement depends upon the measuring instrument. 5700. 1. 2. 3. 4. Multiply. 843.5 * 21103. 17800380.5. 1.780 x 10. 8. 1.780 x 10. 7. 17800000. Which of the following instruments would give you the most accurate measurement?. Round to 3 significant digits.. What are Sig Figs?. I read in the paper that . Jimmy Haslam (owner . of the Browns) . has a net worth 2.7 . billion dollars.. Myself and a friend bought 4 tickets for $264.30. Assume that immediately after it was reported, I ran to Mr. . Notation. Essentials questions. : How do you add, subtract, multiply, and divide using scientific notation?. Unit 1-3. Operations with Scientific. Notation. Quick review. Product rule . Quotient rule. Please get out paper for today’s lesson. --------------------------------------------------------. Name. Date. Period. Perform operations with . numbers expressed in scientific notation, including problems where both decimal and scientific notation are . REALLY, REALLY . BIG . OR. . REALLY, REALLY . SMALL. . NUMBERS.. Mathematicians . are Lazy!!!. They decided that by using powers of 10, they can create short versions of long numbers.. Rules for Scientific Notation. errors. Numerical math != Math. . (cont.) . . Loss of significance. In Previous Lectures. :. Absolute and relative errors.. You. . considered and ran the code . numderivative.cc. ; . observed two types of errors – . Diploma ExaminationsSignificant Digits measured values1For all non-logarithmic values regardless of decimal position any of the digits 1 to 9 is a significant digit 0 may be significant For example 12 Power . Exponential Notation. A short hand of writing a number with out changing its Value. It only changes the way it looks.. * . . . . .  . X10. #. x10. - #. Number gets larger . Length is measured by observing the marked lines at . the end . of a ruler. The last digit in your measurement is an . estimate, obtained by . visually dividing the space between the marked lines.. Learning Goal .