PPT-Significant (Measured) Digits

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. Rules!. What is Divisibility?. . . Divisibility means that . : . . . . after . dividing, there will be . no remainders. . . 6 2. 2. 6 1. 2. 6. 3. 2. 2. 1. 0. 6. 30. 1. No reminders. Reminders. 0. The metric system. Becoming more common in our country.. The SI system. Developed in 1960, also called the international system of units.. Set of seven standard quantities of which all others can be derived.. Every measurement has UNITS.. Every measurement has UNCERTAINTY.. 2. Accuracy and Precision in . Measurements. Accuracy: how close a measurement is to the accepted value.. Precision: how close a series of measurements are to one another or how far out a measurement is taken.. Perceptron. Yang, . Luyu. Postal service for sorting mails by the postal code written on the envelop. Bank system for processing checks by reading the amount of money using computers. Motivation. Design . Physical Science. What is a significant figure?. There are 2 kinds of numbers:. Exact: the amount of money in your account. Known with certainty.. What is a significant figure?. Approximate: weight, height—anything MEASURED. No measurement is perfect.. Objectives:. State the purpose of significant digits. State and apply the rules for counting and doing calculations with significant digits. One way engineers use significant digits….. What's so significant about significant digits?. &. Scientific Notation. Significant Figures. Scientist use significant figures to determine how precise a measurement is. Significant digits in a measurement include all of the known digits plus one estimated digit. By: Mohammed.a. Holtermans. Nugget. In October 1872 . Holterman's Nugget. was found. At that time it was the largest gold nugget ever found it weighted 286 kg and measured 150 cm.. Largest Gold nugget.. RULES FOR SIGNIFICANT DIGITS. 1. Non-zero digits are ALWAYS significant.. . Example-. 123456789. 2. Zeros that are between other significant digits are ALWAYS significant.. . Example. - 3004 . 3. Final zeros that occur before or after the decimal are ALWAYS significant.. 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.. 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 – . 1 All non-zero digits are always significant154 3 sig figs 2 Interior zeros zeros between nonzero numbers are3 Leading zeros zeros at the beginning of a number are NOT 0103 3 sig figs 0000002 1 n,k. ) code by adding the r parity digits. An alternative scheme that groups the data stream into much smaller blocks k digits and encode them into n digits with order of k say 1, 2 or 3 digits at most is the convolutional codes. Such code structure can be realized using convolutional structure for the data digits.. 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 .