Making Your Measurements Count.  All of the numbers I know for sure… + 1 estimate.

Slides:

Advertisements

Similar presentations

Rounding and Approximation. Methods of Rounding Decimal Places Identify the digit of the decimal place required  Look at the next digit to the right.

Advertisements

Chemistry Notes Significant Figures & Scientific Notation

Uncertainty in Measurements

Significant Figures.

Significant Figures.

Warm Up #7 (Page 28) 10/9/2014 Round the following numbers to 2 significant figures (Write the question) 1) g 2) 124,000 m 3)1.25 cm Perform the.

Scientific Notation Converting into Sci. Notation: –Move decimal until there’s 1 digit to its left. Places moved = exponent. –Large # (>1)  positive.

10/2/20151 Significant Figures CEC. 10/2/20152 Why we need significant figures In every measurement in a lab, there are inherent errors. No measurement.

Working with Significant Figures. Exact Numbers Some numbers are exact, either because: We count them (there are 14 elephants) By definition (1 inch =

Unit One Notes: Significant Figures

Significant Numbers All numbers in a measurement that are reasonable and reliable.

Significant Figures What do you write?

Significant Figures. The Basics  All nonzero digits are significant  Ex: 1.2 – 2 significant digits  Ex: has 5 significant digits  Zeroes between.

Significant Figures 1.All non-zero digits are significant (2.45 has 3 SF) 2.Zeros between (sandwiched)non- zero digits are significant (303 has 3 SF)

SIGNIFICANT FIGURES AMOLE WHAT & WHY?  Refer to them as “Sig Figs” for short  Used to communicate the degree of precision measured  Example -

Uncertainty in Measurement Accuracy, Precision, Error and Significant Figures.

I II III I. Using Measurements CH. 2 - MEASUREMENT.

Significant Digits By Michelle Lamary and and Caitlin Ostrowski.

Significant Figures A tutorial adapted from

Significant Digits Unit 1 – pp 56 – 59 of your book Mrs. Callender.

Uncertainty in measurement  Every measurement has error associated with it.  The more precise the measurement the less error.  Error in a measurement.

“Scientific Measurement”. Measurements and Their Uncertainty OBJECTIVES: Convert measurements to scientific notation.

SIGNIFICANT FIGURES AND DECIMAL PLACES

Significant Figures. Significant Digits or Significant Figures We must be aware of the accuracy limits of each piece of lab equipment that we use and.

Chapter 2 “Scientific Measurement” Section 2.5 Significant Figures in Calculations.

Significant Figures. Significant Figure Rules 1) ALL non-zero numbers (1,2,3,4,5,6,7,8,9) are ALWAYS significant. 1) ALL non-zero numbers (1,2,3,4,5,6,7,8,9)

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.

Significant Figures.

 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.

Why Is there Uncertainty? Measurements are performed with instruments, and no instrument can read to an infinite number of decimal places Which of the.

 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.

SIG FIGURE’S RULE SUMMARY COUNTING #’S and Conversion factors – INFINITE NONZERO DIGIT’S: ALWAYS ZERO’S: LEADING : NEVER CAPTIVE: ALWAYS TRAILING :SOMETIMES.

Significant Figures!.

Significant Figures Notes on PAGE _____. Significant Figures Notes on PAGE _____.

Uncertainty and Significant Figures

Significant Figures & Scientific Notation

Significant Figures Sig Figs.

Do Now!!!! Write the following numbers in scientific notation Form

Understanding Significant Figures

Objectives To learn how uncertainty in a measurement arises

Significant figures.

SIG FIGURE’S RULE SUMMARY

SIGNIFICANT DIGITS INTRODUCTION

Significant Figures L. Bernard, 2015.

(sig figs if you’re cool)

Significant Figures All non-zero numbers count(123)

Significant Figures.

Significant Figures

Significant figures RULES TO MEMORIZE!.

Significant Figures The numbers that count.

DETERMINING SIGNIFICANT FIGURES

Significant Figures All non-zero digits are significant (2.45 has 3 SF) Zeros between (sandwiched)non-zero digits are significant (303 has 3 SF)

Significant Figures and Scientific Notation

Exact and Inexact Numbers

Significant Figures (Sig Figs)

Section 2-3 Using Measurements

CH. 2 - MEASUREMENT I. Using Measurements.

Unit 2: Physics Sc 3200.

Uncertainty and Significant Figures

Significant Figures.

Uncertainty and Significant Figures

Significant Figures Part 1: Counting Sig figs

2.b Using Scientific Measurements

I. Using Measurements (pp )

Significant Figures and Rounding

Significant Figures Overview

Presentation transcript:

Making Your Measurements Count

 All of the numbers I know for sure… + 1 estimate.

 Measurements ◦ Non Zero #s ◦ Zeros  Trapped Zeros  Leading Zeros  Trailing Zeros  Decimal Point present  Decimal Point absent

 Exact Numbers (Counted items and some conversion factors) ◦ Unlimited or Infinite Significance

 The Weak Link Rule ◦ Your answer must have the same number of significant figures as the number in the operation which has the ___________ ___________ of significant figures. ◦ Remember how to round!!

 The Weak Link Rule ◦ Your answer must have the same number of ______________________as the number in the operation which has the _________ __________ of _____________________. ◦ Why the add/subtract rule is seldom used in lab. ◦ Why it is used in % error calculations.