Significant Figure Notes With scientific notation too.

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 Figures. 1.All nonzero digits are significant. Example: 145 (3 sig figs) 2.Zeroes between two significant figures are themselves significant.
Measurements: Every measurement has UNITS.
Significant Figures, and Scientific Notation
POWERPOINT THE SECOND In which you will learn about: Scientific notation +/-/x/÷ with sig figs Rounding.
Precision vs. Accuracy There really is a difference.
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.
IN THE CHEMISTRY SECTION OF YOUR NOTEBOOK, TAKE CORNELL STYLE NOTES OVER THE INFORMATION PRESENTED IN THE FOLLOWING SLIDES. Measurements in Chemistry Aug.
Measurements: Every measurement has UNITS.
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.
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.
Measurement book reference p Accuracy  The accuracy of the measurement refers to how close the measured value is to the true or accepted value.
Measurement book reference p Accuracy  The accuracy of the measurement refers to how close the measured value is to the true value.  For example,
Reliability of Measurements Chapter 2.3. Objectives  I can define and compare accuracy and precision.  I can calculate percent error to describe the.
1 Significant Figures Significant figures tell us the range of values to expect for repeated measurements The more significant figures there are in a measurement,
Significant Figures and Scientific Notation Significant Figures:Digits that are the result of careful measurement. 1.All non-zero digits are considered.
Significant Figures. Rules 1.All nonzeroes are significant 2.Zeroes in-between are significant 3.Zeroes to the left are not significant 4.Zeroes to the.
Week.  Student will: scientific notation  Write in scientific notation.
Significant Figures Rules and Applications. Rules for Determining Significant Figures 1.) All Non-Zero digits are Significant. 1.) All Non-Zero digits.
Significant Figures How to count the number of significant figures in a decimal number. How to count the number of significant figures in a decimal number.
SIGNIFICANT FIGURES AMOLE WHAT & WHY?  Refer to them as “Sig Figs” for short  Used to communicate the degree of precision measured  Example -
Significant Figures Density % Error. Significant Figures  The number of digits reported in a measurement.  All the known digits plus one estimated value.
Warm up: Tuesday, Aug Get out Ch. 1.3 Notes, turn to 1.4, have out HW Set The density of an object was found by using water displacement. The.
Measurements in Chemistry Aug 6, 2014 In the chemistry section of your notebook, Take Cornell style notes over the information presented in the following.
Chemistry by the numbers Units of Measurement – The Metric System Length: Mass: Volume: Temperature: Pressure: milli-centi-deci-(unit)deka-hecta-kilo-
Drill – 9/14/09 How many significant figures: Now complete the back of the measurement worksheet from last week (the graduated.
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.
Scientific Notation and Significant Figures. Going from scientific notation to standard number form. ◦A positive exponent means move the decimal to the.
What is the difference between accuracy and precision? Good precision Low accuracy = average position Low precision High accuracy.
Ch 5 How to take measurements and make proper calculations We will deal with many types of measurements and calculations throughout the year. The types.
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 = __________.
Significant Figures and Scientific Notation. Physics 11 In both physics 11 and physics 12, we use significant figures in our calculations. On tests, assignments,
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)
SIGNIFICANT FIGURES Rules for Significant Figures.
SCIENTIFIC NOTATION 5.67 x 10 5 –Coefficient –Base –Exponent 1. The coefficient must be greater than or equal to 1 and less than The base must be.
Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.
Significant Figures.
Accuracy, Precision and Significant Figures. Scientific Measurements All of the numbers of your certain of plus one more. –Here it would be 4.7x. –We.
Significant Figures. Rule 1: Nonzero numbers are always significant. Ex.) 72.3 has 3 sig figs.
Significant Figures. Rule #1 All non-zero numbers are significant 284 has ____ sig figs 123,456 has _____ sig figs.
Sig. Figs continued Which numbers really matter? All non-zero numbers are significant. Example: 245, , Sandwiched zeros are significant.
Chemistry I. Precision and Accuracy Accuracy refers to the agreement of a particular value with the true value. Precision refers to the degree of agreement.
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. Who cares? Sig Figs measure the degree of precision of a measurement.
Significant Figures Mr. Kane. What is the point of Significant Figures (sig figs) Different measuring tools offer different precision (see measurement.
Warm-Up: To be turned in
Rules for Significant Figures
Significant Figures.
Math of Chem I Textbook Chapter 1 Aim:
Significant Figures Definition: Measurement with Sig Figs:
Significant Figures Sig Figs.
Significant Figures.
Measurement: Significant Figures
Scientific Notation and Significant Figures
Significant Figures.
SIG FIGURE’S RULE SUMMARY
(sig figs if you’re cool)
Significant Figures Notes
Warm up: Mass of Object g Volume of Water 12.5 mL
Notes Significant Figures!.
Significant Figures
Significant Figures.
Arithmetic & Significant Figures.
Measurement book reference p
Determining Significant Digits and Rounding
Significant Figures.
5. Significant Figures- = represent the valid digits of a measurement and tells us how good your instrument is.
Significant Figures.
Uncertainty in Measurement
Presentation transcript:

Significant Figure Notes With scientific notation too

Sig Figs Rule 1: “Non-Zeroes Count” NON-ZERO numbers ARE significant How many sig figs? ____3.14 ____469 ____

Sig Figs Rule 2: “Sandwiched Zeroes Count” All zeros BETWEEN significant digits ARE significant. How many sig figs? x 10 3 ____70501 ____ 3020 ____ Only count the numbers to the left of the multiplication sign!

Sig Figs Rule 3: “Lefty Zeroes Don’t Count” Zeroes to the LEFT of significant figures are NOT significant. How many sig figs? ____ ____ ____

Sig Figs Rule 4: “Righty Zeroes…Sometimes Count” Zeroes on the far right ARE significant if the number contains a DECIMAL POINT Zeroes on the far right are NOT significant if the number has NO decimal point How many sig figs? x ____ 200 ____ ____78020 ____

Practice We Do: mL _____ g _____ 82,000 s _____ 6.19 x 10 1 years ______ Next, try the “You Do” problems on your own!!

Scientific Notation I Do:  

Scientific Notation I Do:   We Do:  55, 000  Now try the “You Do” problems on your own!

Scientific Notation IN REVERSE! Make sure you know how to go in both directions! 4.78 x  5.50 x 10 4  This can also be done with a calculator!

Addition/Subtraction When you add or subtract numbers with different precision, you must round your final answer to the least precise number place. Ex g g  g

Addition/Subtraction When you add or subtract numbers with different precision, you must round your final answer to the least precise number place. We Do: What is the total mass of 33.0 g of KCl and g of H 2 O 2 ? Now try the “You Do!”

Multiplication/Division When you multiply or divide numbers with different precision, you must round your final answer to the least number of sig figs. We Do: What is the density (D = m/V) of a g metal sample with a volume of 2.0 cm 3 ? Now try the “You Do!”