Significant Figures. Rule 1: Digits other than zero are significant 96 g = 2 Sig Figs 152 g = __________ Sig Figs 61.4 g = 3 Sig Figs21.567 g = __________.

Slides:



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

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.
Physics Rules for using Significant Figures. Rules for Averaging Trials Determine the average of the trials using a calculator Determine the uncertainty.
Chemistry Notes Significant Figures & Scientific Notation
Chapter 1 “Chemistry and You” ‘Significant Figures and Scientific Notation’
Significant Figures and working with measurements Science 10 G.Burgess Feb.2007.
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.
Rules For Significant Digits
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 Figure Notes With scientific notation too.
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.
Significant Figures Rules and Applications. Rules for Determining Significant Figures 1.) All Non-Zero digits are Significant. 1.) All Non-Zero digits.
 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 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 -
Significant Figures Wednesday, August 12 th. Do Now 1. Place the following numbers in scientific notation or standard Notation x
Title: Significant Figures and Rounding Objective: I will be able to determine the amount of significant figures when given a quantifiable number and round.
SIGNIFICANT FIGURES. What are they?  It is important to be honest when reporting a measurement, so that it does not appear to be more accurate than the.
Significant Figure Rules. Rule Number 1 All non zero digits are significant. Examples 1179 – 4 significant figures significant figures
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.
Significant Figures Honors Coordinated Science II.
Daily Science (page 12) Convert the following using dimensional analysis: ft into cm (2.54 cm = 1 in.) m into km gallons to milliliters.
3.1 Using and Expressing Measurements > 1 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Scientific Notation & Significant.
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.
Scientific Notation and Significant Figures. Going from scientific notation to standard number form. ◦A positive exponent means move the decimal to the.
Rounding  We need to round numbers because a calculator often gives an answer with more digits than are justified by the precision of the measurements.
Uncertainty in Measurement. Significant Figures #1 All non-zero digits are significant. Examples
Scientific Notation and Significant Figures. When it says to write your answers in the form: Then it means put your answer in scientific notation! Scientific.
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)
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.
SCIENTIFIC NOTATION RULES. Rules for converting to Scientific Notation One non-zero number before the decimal One digit after the decimal If you are making.
Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.
Significant Figures Rules If the decimal is Present, then go to the Pacific side of the measurement, count the first non-zero number and count all other.
Significant Figures. Rule 1: Nonzero numbers are always significant. Ex.) 72.3 has 3 sig figs.
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.
1-2 Significant Figures: Rules and Calculations (Section 2.5, p )
Scientific Notation and Significant Figures. Scientific Notation Purpose: – To simplify writing of large or small numbers (faster) – To show significant.
Rules for Significant Figures
Significant Figures.
Part 2 Significant Figures with Calculations
Significant Figures Sig Figs.
Significant Figures.
Class Notes: Significant Figures
Scientific Notation and Significant Figures
Significant Figures.
Lesson Objectives Perform mathematical operations in scientific notation.
Significant Figures.
1.6 – Calculating with Significant Figures
Warm up: Mass of Object g Volume of Water 12.5 mL
Significant Figures
Significant Figures General Chemistry.
Sig Fig Math and Measurement
Random error Systematic error.
Significant Measurements
Significant Figures or Digits
Rules for Determining Significant Figures
Significant Figures.
5. Significant Figures- = represent the valid digits of a measurement and tells us how good your instrument is.
Scientific Notation & Significant Figures
Manipulating Sig Figs - Notes B
Using Significant Digits
Convert to scientific notation
How do you determine where to round off your answers?
Uncertainty in Measurement
SCIENTIFIC NOTATION 5.67 x 105 Coefficient Base Exponent
Presentation transcript:

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 = __________ Sig Figs 0.52 g = 2 Sig Figs0.763 g = __________ Sig Figs

Rule 2: Zeros appearing between nonzero digits are significant 306 g = 3 Sig Figs40601 g = __________ Sig Figs g = 4 Sig Figs g = __________ Sig Figs g = 4 Sig Figs g = __________ Sig Figs

Rule 3: Zeros appearing in front of all nonzero digits are NOT significant m = 5 Sig Figs kg = __________ Sig Figs kg = 1 Sig Fig kg = __________ Sig Figs

Rule 4: Zeros after or to the right of the decimal point are significant = 10 Sig Figs7.940 m = __________ Sig Figs m = 5 Sig Figs m = __________ Sig Figs 82.0 m = 3 Sig Figs m = __________ Sig Figs

Rule 5: Zeros at the end of a number are significant if a decimal point is present kg = 1 Sig Figs kg = __________ Sig Figs kg = 4 Sig Figs200. m = __________ Sig Figs

Rule 6: Only the coefficient in scientific notation is significant, not the power or exponent x 10 4 m = 3 Sig Figs0.210 x 10 3 m = __________ Sig Figs x 10 3 m= 4 Sig Figs9.416 x 10 8 m = __________ Sig Figs x 10 7 m = 5 Sig Figs410.0 x 10 3 m = __________ Sig Figs 1 x 10 4 m = __________ Sig Figs x m = __________ Sig Figs

Addition/Subtraction: After adding or subtracting, round off answer to least accurate number ==> ==> ==>

Multiplication/Division: After multiplying or dividing, round off answer to least number of significant figures x 0.20 x ÷ ==> ==>