Lesson 7-9 Precision and Significant Digits. Definitions Precision- a measure of exactness to which a measurement is made. Precision depends on the smallest.

Slides:

Advertisements

Similar presentations

Significant Figures -why we use them -rules for sig. figs. -operations with sig. figs.

Advertisements

The volume we read from the beaker has a reading error of +/- 1 mL.

Measurement vs. Number Significant Digits and Accuracy Exact numbers – number determined by counting or definition Approximate numbers – number determined.

Measurement. Measurements science is based on measurements all measurements have: – magnitude – uncertainty – units Numbers mathematics is based on numbers.

Significant Figures. Purpose Significant figures are used with any measurement Significant figures are used with any measurement They tell you something.

Uncertainty in Measurements

Significant Figures and Rounding

Review: Significant Figures Laboratory investigations usually involve the taking of and interpretation of measurements. All physical measurements obtained.

Ms. Pollock Significant Figures  Numbers in math class considered to be exact – produced by definition, not by measurement  Measurements.

Unit 1 Significant Figures.  When does = 4?  When 2 = 1.7 rounded  & 3 = 2.6  = 4.3 = 4.

Precision and Accuracy Uncertainty in Measurements.

Objective: Differentiate between accuracy and precision.

Uncertainty and Error (11.1)  error in a measurement refers to the degree of fluctuation in a measurement  types systematic error ○ measurements are.

UNIT ONE TOPIC: Significant Figures and Calculations.

Significant Figures Significant figures in a measurement includes all of the digits that are known, plus a last digit that is estimated. All measurements.

Splash Screen Example 9-5b Objective Analyze measurement.

2.4 Significant Figures in Measurement

A measured value Number and unit Example 6 ft.. Accuracy How close you measure or hit a true value or target.

Chem 160- Ch # 2l. Numbers from measurements.. Measurements Experiments are performed. Numerical values or data are obtained from these measurements.

Cup of coffee = ~ 200 ml Add drop of H 2 O = 0.05 mL New volume: ~200 mL or mL?? If you say you imply that the volume of the initial cup.

Using Scientific Measurements. Uncertainty in Measurements All measurements have uncertainty. 1.Measurements involve estimation by the person making the.

The Importance of measurement Scientific Notation.

Unit 3 Scientific Measurement. Types of Measurement Qualitative – Gives results in nonnumeric, descriptive form. Example: looking at a picture and evaluating.

Mr. Ramos.  Chemistry is the study of matter, and matter is the stuff things are made of.  Matter is anything that takes up space and has mass.  All.

1 Section 1.3 Approximate Numbers and Significant Digits.

Problem Solving in Chemistry 2.2 & 2.3. What are Significant Digits?

CCNA1 v3 Module 2 W04 – Sault College – Bazlurslide 1 Accuracy vs. Precision.

Divisibility rules.

Rules For Significant Figures. 1. You can estimate one significant figure past the smallest division on an analog measuring device.

Significant Figures Number of digits believed to be correct by the person doing the measuring Includes 1 estimated digit Read to 1/10 the smallest division.

Objectives To learn how uncertainty in a measurement arises

Meeting 15 Introduction to Numerical Methods Error Analysis.

Accuracy and Precision Accuracy and Precision A MEASURE of your SUCCESS!

A. 3 Parts to any measurement 1. Numerical Value 2. Unit (denotes scale) 3. Estimate of uncertainty B. Lab Measurement-proper number of sig figs 1. Sig.

1/13/20161 Significant Figures CEC. 1/13/20162 Why we need significant figures In every measurement in a lab, there are inherent errors. No measurement.

Place value can help you understand and write and compare decimal numbers. Rounding Decimals.

SIGNIFICANT FIGURES AND DECIMAL PLACES

Part 04 Rounding and Sig figs in Calculations page

Lesson 7-7 Surface Area of Prisms and Cylinders. Definition Surface Area- The sum of the area of all the faces of a solid.

All measurements are subject to uncertainties. All instruments used are influenced by external circumstances, and the accuracy of a measurement may be.

Significant Figures. Why use significant figures? Click on the graphic to read a story that shows the importance of understanding significant figures.

Chemistry Jeopardy Misc.Scientific Notation Sci. Not. Calcs Sig FigsSig Fig Calcs

SIGNIFICANT figures Two types of numbers: exact and inexact. Exact numbers are obtained by counting or by definitions – a dozen of wine, hundred cents.

Lesson 11-7 Pages Precision and Significant Digits.

CHAPTER 3: MEASUREMENT. ACCURACY AND PRECISION Can never be exact Instrument marking can’t be fine enough Defective instrument Environmental conditions.

Warm-Up Exercises Perform the indicated operation ANSWER 18.8 ANSWER 7.75.

READING BETWEEN THE LINES Estimate one place on non digital equipment. (rulers, graduated cylinders) 6 7 cm 6.42 cm If it is exactly on the line 6.60 cm.

Lesson 7 Reliability, Significant Figures and Percent Error.

Adding and Subtracting with proper precision m m 12.0 m m m m m m m Keep in your answer everything.

Mathsercise-C Rounding Ready? Here we go!. Estimate the value of: 1 Rounding x 7.85 Answer Question 2 Round each number to a sensible figure.

Uncertainty in Measurement How would you measure 9 ml most precisely? What is the volume being measured here? What is the uncertainty measurement? For.

Significant Figures Chemistry I. Significant Figures The numbers reported in a measurement are limited by the measuring tool Significant figures in a.

Chapter 3.1 Accuracy and Precision Significant Figures.

Section 5.2 Uncertainty in Measurement and Significant Figures 1.To learn how uncertainty in a measurement arises 2.To learn to indicate a measurement’s.

 Importance: to ensure the accuracy of our measurements  To make sure we tell others only what we actually know based on our equipment and it’s limitations.

Chemistry Using and Expressing Measurements Section 3.1.

Precision, Accuracy and Error. Precision When measuring, most of the time our measurements are estimates. How precise are these estimates? Precision is.

Significant Figures.

Significant Figures Tell how well the measurement was made (helps towards Precision) Significant figures in a measurement include the known digits plus.

Accuracy and Precision

Estimate sums, differences, products, and quotients.

Significant Figures Definition: The digits in a measurement that have values that are known exactly PLUS one digit that has a value that is estimated.

Answers (2) C (10) C (3) C (11) B (4) D (12) B (5) B (13) B (6) B (14) B (7) B (15) C (8) B (16) E (9) B (17) A.

REVIEW Use the white paper for answering the question

Review Pre AP CH 1 , 2 Study the notes for getting good grades.

Divisibility Rules.

Estimating with Fractions

The smallest measuring lines on this tool show a jump of ______________ This measuring tool is precise to the ________ column Our rule for writing.

Combinations of Functions

SIGNIFICANT FIGURES.

Presentation transcript:

Lesson 7-9 Precision and Significant Digits

Definitions Precision- a measure of exactness to which a measurement is made. Precision depends on the smallest unit of measure being used, or the precision unit. Significant Digits- All the digits that are actually measured plus one estimated digit. Significant digits indicate the precision of the measurement.

Identify the precision unit of the thermometer

Determine the number of significant digits in each measure. 5,000 ft oz

Find each sum or difference using the correct precision. 45 in in. 7.38m – 5.9m

Find each product or quotient using the correct number of significant digits.