Significant?...I Don’t Think So

Slides:



Advertisements
Similar presentations
Physics Rules for using Significant Figures. Rules for Averaging Trials Determine the average of the trials using a calculator Determine the uncertainty.
Advertisements

Significant?...I Don’t Think So By Evan Smith. You know, I really love my calculator When I multiply, divide, subtract or add,
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.
Chemistry Notes Significant Figures & Scientific Notation
Significant Figures, and Scientific Notation
Calculations with Significant Figures
The Mathematics of Chemistry Significant Figures.
Significant Figures.  All measurements are inaccurate  Precision of measuring device  Human error  Faulty technique.
POWERPOINT THE SECOND In which you will learn about: Scientific notation +/-/x/÷ with sig figs Rounding.
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.
Significant Figures in Mathematical Operations The result of the mathematical operation cannot be expressed to any greater degree of certainty than the.
Significant Figures.
Uncertainty in Measurements and Significant Figures Group 4 Period 1.
Significant Figures & Measurement. How do you know where to round? In math, teachers tell you In math, teachers tell you In science, we use significant.
What time is it? Someone might say “1:30” or “1:28” or “1:27:55” Each is appropriate for a different situation In science we describe a value as having.
It’s really not that bad.  The # of digits reported for the value of a measured or calculated quantity, indicating the precision of the value  4 Rules.
Super important tool to use with measurements!. Significant Figures (sig. figs.) All digits in a measurement that are known for certain, plus the first.
Significant Figure Notes With scientific notation too.
Significant Figures. Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs”
Mathematical Operations Using Numbers in Scientific Notation.
 Significant figures are the figures that are known with a degree of certainty.
Significant Figures (HOW TO KNOW WHICH DIGITS OF A NUMBER ARE IMPORTANT)
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
Drill – 9/14/09 How many significant figures: Now complete the back of the measurement worksheet from last week (the graduated.
Significant Figures SPH3U. Precision: How well a group of measurements made of the same object, under the same conditions, actually agree with one another.
Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.
IDENTIFYING AND CALCULATING WITH SIG DIGS Significant Digits.
Uncertainty and Measurements There are errors associated with any measurement. Random error Random error – These errors can be caused by a variety of sources:
All measurements are subject to uncertainties. All instruments used are influenced by external circumstances, and the accuracy of a measurement may be.
Significant Figures. Rule 1: Digits other than zero are significant 96 g = 2 Sig Figs 152 g = __________ Sig Figs 61.4 g = 3 Sig Figs g = __________.
Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.
Be able to carry out basic mathematical operations using numbers expressed in scientific notation, without changing them to decimal notation. Be able to.
Mathematical Operations with Significant Figures Ms. McGrath Science 10.
1-2 Significant Figures: Rules and Calculations (Section 2.5, p )
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 And Mathematical Calculations.
Units 1: Introduction to Chemistry
Significant Figures.
Part 2 Significant Figures with Calculations
Significant Figures Why significant figures are important
Significant Figures Sig Figs.
Significant Figures Why significant figures are important
Scientific Notation and Significant Figures
SIG FIGURE’S RULE SUMMARY
Significant Figures.
Significant Numbers in Calculations
Significant Figures.
Unit 1 Significant Figures.
Measurements and Calculations
1.6 – Calculating with Significant Figures
5.4 uncertainty in measurement
Our Friends, the Significant Figures
Significant Figures
Significant Figures General Chemistry.
Measurements in Chemistry
Measurement and uncertainties
Significant figures RULES TO MEMORIZE!.
Significant Figures, and Scientific Notation
Rules for Use of Significant Figures
Significant Digits Calculations.
Scientific Notation & Significant Figures
Using Significant Digits
Convert to scientific notation
Measurement and Calculations
Is it OK to write down all digits on your calculator?
Uncertainty in Measurement
Our Friends, the Significant Figures
Presentation transcript:

Significant?...I Don’t Think So By Evan Smith

You know, I really love my calculator When I multiply, divide, subtract or add,

I get so many digits in my answer, Lots and lots of digits can’t be bad…right?

Well, my science teacher told me to be careful, Some of those digits have to go. She said I have to learn to round my answer, There are rules that science students have to know

This calculator is my special friend, Its little brain never makes mistakes, Every number on its screen is mathematically correct, But significant?...I don’t think so

Every scientific measurement’s uncertain Uncertain to varying degrees So when one or more are used in calculations, The answer also has uncertainty

So you have to round your answer to the problem So you have to round your answer to the problem. And even though it sounds a little cruel, You have to trash a few of those digits, According to a certain set of rules.

This calculator is my special friend, Its little brain never makes mistakes, Every number on its screen is mathematically correct, But significant?...I don’t think so

When you multiply or divide uncertain values, Your answer should be rounded when you’re through. To the least number of sig figs in any of those values, It’s really, really not that bad to do.

When you add or subtract uncertain values. Decimal places are the key When you add or subtract uncertain values. Decimal places are the key. Count the fewest number of decimal places in those values. And then you should round accordingly.

This calculator is my special friend, Its little brain never makes mistakes, Every number on its screen is mathematically correct, But significant?...I don’t think so

This calculator is my special friend, Its little brain never makes mistakes, Every number on its screen is mathematically correct, But significant?...I don’t think so