Calculations with Significant Figures

Slides:

Advertisements

Similar presentations

Precision in Measurements

Advertisements

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

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.

Significant Figures.

Rules For Significant Digits

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.

Rule 1: When multiplying and dividing, limit and round to the least number of significant figure in any of the factors. Example 1: 39.0 mm X 385 mm X.

Significant Figures in Mathematical Operations The result of the mathematical operation cannot be expressed to any greater degree of certainty than the.

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.

How many significant figures?

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 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.

Percent Composition. Molar Mass Calculate the Molar Mass of H 2 O 1 mole of H 2 O contains 2 mols H and 1 mol O. The mass of 2 moles H = 2 mol(1.008 g/mol)=

Addition and Subtraction of significant figures. Rule 1 Before performing an addition or subtraction operation, round off numbers to the least amount.

Significant Figures Always record data as accurately as you can (as many sig. figs. as method allows) The last digit of the value that you record should.

Significant Figures Part 2 Problem Solving Applications.

Drill – 9/14/09 How many significant figures: Now complete the back of the measurement worksheet from last week (the graduated.

Significant Figures Multiplying and dividing. Multiplying and Dividing with Significant Figures When multiplying or dividing numbers round the answer.

3.1 Using and Expressing Measurements > 1 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Scientific Notation & Significant.

Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.

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.

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. 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)

Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.

Algebra 1 Section 3.6 Find approximate solutions to equations using rounding techniques Three people want to share equally in the cost of a pizza. The.

Mathematical Operations with Significant Figures Ms. McGrath Science 10.

Significant Figures. Rule 1: Nonzero numbers are always significant. Ex.) 72.3 has 3 sig figs.

Significant Figures Box and Dot Method. Step 1  Draw a box around all nonzero digits, beginning with the leftmost nonzero digit and ending with the rightmost.

1.7 International System of Units (SI) Measurement and the metric system.

Adding, Subtracting, Multiplying and Dividing with Sig Figs.

Rules for Significant Figures

Part 2 Significant Figures with Calculations

Significant Figures Why significant figures are important

Significant Figures Sig Figs.

Precision in Measurements

Measurement: Significant Figures

Significant Figures Why significant figures are important

Significant Figures Box and Dot Method.

Measurement in Experiments

Review of yesterday… How many sig figs are in the following? 0.02

Significant Numbers in Calculations

Significant Figures.

1.6 – Calculating with Significant Figures

Significant Figures

Significant Figures General Chemistry.

Significant Figure Review

Random error Systematic error.

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)

Exact and Inexact Numbers

Multiplying and dividing

Divide the number in C by 10.

How many sig figs are in each of the

Significant Figures.

5. Significant Figures- = represent the valid digits of a measurement and tells us how good your instrument is.

TOPIC: Significant Figures in calculations AIM: How do we add, subtract, multiply and divide measurement in significant figures? DO NOW: ( 5.

Multiplying and dividing

Scientific Notation & Significant Figures

Manipulating Sig Figs - Notes B

Convert to scientific notation

Is it OK to write down all digits on your calculator?

It’s the middle of the week!

Uncertainty in Measurement

Calculation with Significant Figures

Using Sig Figs in Calculations

Significant Figures and Conversions

Presentation transcript:

Calculations with Significant Figures

Review: How many significant figures 804.05 0.014403 1002 400 30000. 0.000625000

How can you write seven thousand with 1 significant figure 4 significant figures 6 significant figures

Round each to 3 Significant Figures 31.068 6) 149.51 2.613 7) 6.561 81.436 8) 13.1252 0.001567 9) 143.81 1.1353 10) 0.000355

Multiplying and Dividing Multiply or divide the number out as normal but round the answer to the least number of significant figures in the problem

Solve each with correct Sig Figs 2.4 x 15.82 = 94.20  3.16722 = (5.682 x 105) x (2.87 x 104) = (2.145 x 10-5)  (6.75 x 104) =

Addition and Subtraction Add or subtract as normal but round the answer with the same number of decimal places as the quantity in the calculation having the least

Solve each with correct Sig Figs 5.44 – 2.6103 2.099 + 0.05681 4.6521 + 183.2 + 240 0.004375 – 0.0036