Measurement Notes From pages 21-25 in the text Honors Intro Physics Friday, Sept. 4 th.

Slides:



Advertisements
Similar presentations
1.2 Measurements in Experiments
Advertisements

The volume we read from the beaker has a reading error of +/- 1 mL.
Significant Figures Every measurement has a limit on its accuracy based on the properties of the instrument used. we must indicate the precision of the.
DIFFERENTIATE: ACCURACY AND PRECISION Three targets with three arrows each to shoot. Can you hit the bull's-eye? Both accurate and precise Precise but.
Math Problems w/Sig Figs When combining measurements with different degrees of accuracy and precision, the accuracy of the final answer can be no greater.
Measurements: Every measurement has UNITS.
Significant Figures There are two kinds of numbers in the world: Exact
Significant Figures, and Scientific Notation
Significant Figures.  All measurements are inaccurate  Precision of measuring device  Human error  Faulty technique.
IB Chem I Uncertainty in Measurement Significant Figures.
Units and Standards. In science, numbers aren’t just numbers. They need a unit. We use standards for this unit. A standard is: a basis for comparison.
Accuracy, Precision, Signficant Digits and Scientific Notation.
Accuracy: The closeness of a measurement to the true or actual value
Rules For Significant Digits
Aim: How can we perform mathematical calculations with significant digits? Do Now: State how many sig. figs. are in each of the following: x 10.
Chapter 1.5 Uncertainty in Measurement. Exact Numbers Values that are known exactly Numbers obtained from counting The number 1 in conversions Exactly.
Section 2.3 Measurement Reliability. Accuracy Term used with uncertainties Measure of how closely individual measurements agree with the correct or true.
Uncertainty in Measurements: Using Significant Figures & Scientific Notation Unit 1 Scientific Processes Steinbrink.
The Scientific Method 1. Using and Expressing Measurements Scientific notation is written as a number between 1 and 10 multiplied by 10 raised to a power.
MEASUREMENTS. What is the difference between these two measurement rulers? Should we record the same number for each scale reading?
How many significant figures?
SIG FIGS Section 2-3 Significant Figures Often, precision is limited by the tools available. Significant figures include all known digits plus one estimated.
Honors Chemistry I. Uncertainty in Measurement A digit that must be estimated is called uncertain. A measurement always has some degree of uncertainty.
Significant Figures What do you write?
Significant Figures and Scientific Notation Significant Figures:Digits that are the result of careful measurement. 1.All non-zero digits are considered.
Rules For Significant Figures. 1. You can estimate one significant figure past the smallest division on an analog measuring device.
Do Now: (3 minutes) 1. What are the definitions of precision and accuracy? 2. Why are precision and accuracy important when making measurements?
Chemistry 100 Significant Figures. Rules for Significant Figures  Zeros used to locate decimal points are NOT significant. e.g., 0.5 kg = 5. X 10 2 g.
Problem of the Day x m x m x 10 8 km – 3.4 x 10 7 m 3. (9.21 x cm)(1.83 x 10 8 cm) 4. (2.63 x m) / (4.08 x.
Significant Figures Chemistry 10 Chemistry 10 Significant figures: the number of digits in an experimentally derived number that give useful information.
Significant Figures Physical Science. What is a significant figure? There are 2 kinds of numbers: –Exact: counting objects, or definitions. –Approximate:
Accuracy and Precision Accuracy and Precision A MEASURE of your SUCCESS!
Drill – 9/14/09 How many significant figures: Now complete the back of the measurement worksheet from last week (the graduated.
Introduction to Physics Science 10. Measurement and Precision Measurements are always approximate Measurements are always approximate There is always.
Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.
Measurement & Calculations Overview of the Scientific Method OBSERVE FORMULATE HYPOTHESIS TEST THEORIZE PUBLISH RESULTS.
Measurements Description and Measurement Chapter 2:1.
All measurements are subject to uncertainties. All instruments used are influenced by external circumstances, and the accuracy of a measurement may be.
Significant Figures and Scientific Notation. Physics 11 In both physics 11 and physics 12, we use significant figures in our calculations. On tests, assignments,
Accuracy vs. Precision. Calculations Involving Measured Quantities The accuracy of a measured quantity is based on the measurement tool. The last digit.
First-Year Engineering Program Significant Figures This module for out-of-class study only. This is not intended for classroom discussion.
Significant Figures.
Significant Figures All the digits that can be known precisely in a measurement, plus a last estimated digit.
Significant Figures. Rule 1: Nonzero numbers are always significant. Ex.) 72.3 has 3 sig figs.
 1. Nonzero integers. Nonzero integers always count as significant figures. For example, the number 1457 has four nonzero integers, all of which count.
Significant Figures When we take measurements or make calculations, we do so with a certain precision. This precision is determined by the instrument we.
Rules for Significant Figures
Unit 3 lec 2: Significant Figures
Measurements Every measurements has UNITS
Significant Figures Notes on PAGE _____. Significant Figures Notes on PAGE _____.
Significant Figures Sig Figs.
Measurement: Significant Figures
Aim: Why are Significant Figures Important?
Review of yesterday… How many sig figs are in the following? 0.02
Significant Figures.
(sig figs if you’re cool)
GHS Enriched Chemistry Chapter 2, Section 3
Significant figures RULES TO MEMORIZE!.
Significant Figures The numbers that count.
Unit 1 lec 3: Significant Figures
Section 3-2 Uncertainty in Measurements
Review of Essential Skills:
Section 2.3 Uncertainty in Data
Measurement Accuracy & Precision.
Accuracy vs. Precision & Significant Figures
Accuracy and Precision
Accuracy and Precision
How do you determine where to round off your answers?
Objectives C-1.1 Apply established rules for significant digits, both in reading a scientific instrument and in calculating a derived quantity from measurement.
Aim: How do we determine the number of significant figures in a measurement? Warm Up What is the difference between the values of 3, 3.0, and 3.00.
Presentation transcript:

Measurement Notes From pages in the text Honors Intro Physics Friday, Sept. 4 th

Making a Measurement Accuracy: How close the value is to the actual or accepted value of the quantity measured. Precision: the degree of exactness to which the measurement of a quantity can be reproduced.

Displaying a Measurement Significant Digits: the digits in a measured value that are valid, due to the precision of the measuring device. The last digit in a measurement is estimated as it falls between the smallest divisions on a given scale. Ex. You estimate tenths of a millimeter with a metric ruler.

Significant Figures 1.Nonzero digits are always significant. 2.All final zeros AFTER a decimal point are significant. 3.Zeros between other significant digits are always significant. 4.Zeros used solely to space the decimal point are NOT significant. (i.e )

Practice Sig. Fig.s How many Significant Figures does each item have? cm hours 3.274,000 miles mm kg

Calculating with Sig. Fig.s A calculated answer can not be more precise than the least precise measurement used in the calculation. There are different rules based on the type of operation used in the calculation. Adding and Subtracting: Look at the term with the fewest decimal places, round all answers to that many decimal places. i.e. 2.4 cm cm = = 3.8 cm

Cont. - Calculating with Sig. Fig.s Multiplication and Division: Look for the factor with the least significant figures and always round your answer to that many significant digits. i.e. 2.4 cm × 6.75 cm = 16.2 = 16 cm 17 ÷ 3.0 = = ________?

Now Practice…. Each student will perform the following measurements and record their work in a neat and organized single page report. Measure the surface area of a classroom table top to the highest level of accuracy and the greatest precision allowed by the tools available. Include in your report: Purpose, procedure, data, calculations, final answer, and a discussion demonstrating what you understand about the accuracy and precision of the value you are submitting.

Quick Quiz Problems Calculate the following answers using the correct number of Significant Digits 1) = _______ ? 2) X = _______ ? 3) ÷ = ________ ? 4) – = ________ ? 5)( ) / = ________ ?

Quick Quiz Answers Calculate the following answers using the correct number of Significant Digits 1) = _510.67__ ? 2) X = _6032.6_ ? 3) ÷ = __3.161__ ? 4) – = __368.49__ ? 5)( ) / = ___25__ ?