PPT-Significant digits

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 Whats so significant about significant digits. Measurements are always approximate. They depend on the precision of the measuring instrument – that is the amount of information that the instrument can provide.. Look at the graduations on a beaker versus the graduations on a graduated cylinder. Which instrument will provide better information?. Learning Goals …. … convert numbers to scientific notation. … convert measurements using the metric system. … identify the number of significant digits in a . measurement . Scientific Notation. Bulletin Board & Program Idea. Submitted By: . Cameron Hovey, . Minnesota State University, Mankato. π. Happy Pi Day!!. Celebrated on March 14…. The symbol for pi (π) has been used regularly in its mathematical sense only for the past 250 years.. 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.. KardKuro. Goals:. . Have Fun while Practicing Addition and Subtraction. .. Improve . Social . Learning Opportunities with Classmates.. Become familiar with the Sum Combinations . used in . Kakuro. . Objective: . Learn to test for . divisibility. . . Divisibility: . One whole number is divisible by another if, after dividing, the remainder is zero. . For example: 18 is divisible by 9 since 18 . ÷. ICS 6D. Sandy . Irani. Number representation. Our number system represents numbers in base 10 (also called decimal notation). Each place represents a power of 10:. 3045 = . 3. ·. 10. 3. + . 0. ·. 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.. ). The International System of Units (SI) is a system of units of measurement consisting of seven base units. Mostly . widely used system of measurement. The United . States is the only industrialized nation that has not adopted the SI . 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 In physics we will be taking measurements and using a lot of numbers for calculations. However, we have to be aware of significant figures (sig figs) because every measurement has a certain degree of . 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 .