Measurement Rounding.

Slides:

Advertisements

Similar presentations

Chem-To-Go Lesson 2 Unit 1 SIGNIFICANT FIGURES. 1)Determine the units used on the ruler. 2)Look closely to determine the smallest marking on the ruler.

Advertisements

Do now: These cuboids are all made from 1 cm cubes

1 Chapter 1 Measurements 1.4 Significant Figures in Calculations Copyright © 2009 by Pearson Education, Inc.

Sig Figs meet Rounding!. In Science we take measurements, but those measurements are sometimes needed to find the values that we really want. For example:

Significant Figures Part II: Calculations.

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.

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

Significant Digits. Rules for Significant Digits.

Counting Significant Figures:

How many significant figures?

SIG FIGS Section 2-3 Significant Figures Often, precision is limited by the tools available. Significant figures include all known digits plus one estimated.

Super important tool to use with measurements!. Significant Figures (sig. figs.) All digits in a measurement that are known for certain, plus the first.

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. What is a significant figure? There are 2 kinds of numbers: 1. Exact : Known with certainty. Example: the number of students in this.

Significant Figures What do you write?

SIGNIFICANT FIGURES Measured Data Counted & Defined Data (exact numbers) Calculated Data –Multiplication & Division –Addition & Subtraction.

WU 8/31 Create the following data table in your notes. MeasurementValue Number of paperclips Length of pen/pencil Volume in beaker Volume in graduated.

Measurement and Sig. Fig. Practice

WARM UP How many sig Figs are in the following measurements? x ,050, x 10 7.

Significant digits Objective: State and apply the rules for + and - with sig figs.

No decimal: Everything EXCEPT 0’s at the end (4100  2 sig. fig.’s) Decimal: Everything EXCEPT 0’s at the beginning (  2 sig. fig.’s) (1000.  4.

ROUNDING NUMBERS.

Warm-Up #1 11/30 1. Write down these 3 formulas:

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

Calculating with Significant Figures Your team is only as strong as your weakest player (slowest runner)= Your final answer can not be more accurate than.

Dividing with Significant Figures. In calculations, the accuracy of the calculated result is limited by the least accurate measurement involved in the.

Accuracy vs. Precision. Calculations Involving Measured Quantities The accuracy of a measured quantity is based on the measurement tool. The last digit.

SIGNIFICANT FIGURES Rules for Significant Figures.

Mathematical Operations with Significant Figures Ms. McGrath Science 10.

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.

Adding, Subtracting, Multiplying and Dividing with Sig Figs.

Rules for Significant Figures

Unit 3 lec 2: Significant Figures

Rules for Significant Figures

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

1.4 Significant Figures in Calculations

Significant Figures Sig Figs.

Measurement: Significant Figures

Significant Figures in Calculations

SIG FIGURE’S RULE SUMMARY

Pacific-Atlantic Method

Significant figures.

Unit 2- Measurements- Significant Figures & Scientific Notation

Counting Significant Figures:

Significant Figure Review

Unit 1 lec 3: Significant Figures

Super important tool to use with measurements!

Measurement book reference p

Test Review Number your paper 1-17

Chapter 2 Measurements 2.4 Significant Figures in Calculations

How many sig figs are in each of the

Significant Figures Practice Density Practice

Significant Figures in

Measurement Accuracy & Precision.

Significant Figures in Calculations

Happy Birthday to Niels Bohr (1885)

Using Significant Digits

Which of these numbers has the most significant figures E 5

Significant Figures.

Measurement Day 1 – Sig Figs.

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

51 50 Even ….. Leave it Odd …. Round up.

Significant Figures and Rounding

Aim: How do we determine the number of significant figures in a measurement? Warm Up What is the difference between the values of 3, 3.0, and 3.00.

Calculation with Significant Figures

Using Sig Figs in Calculations

Significant Digits Calculations.

Significant Digits Calculations.

Presentation transcript:

Measurement Rounding

Rounding & Calculations Measurement 1 2 S.F. Volume = Length  Width  Height Length = 1.3 cm Fewest Possible S.F. Calculation Answer Measurement 2 1 S.F. 1 S.F. Volume Width = 5 cm L  W  H = dropped digits Measurement 3 152.425 cm3 1.3 cm  5cm  23.45 cm = 4 S.F. 1 Sig. Fig. Height = 23.45 cm Round 1 up to 2 Answer: 2 00 cm3

Rules for Rounding (pg. 28) Dropped digit > 5 Round UP by 1 Round 45.6767 cm to 4 S.F. Answer: 45.68 cm DON’T round up Dropped digit < 5 Round 324.478 cm to 3 S.F. Answer: 324 cm Dropped digit = 5 or = 500000... Round UP if Odd (1,3,5, etc) DON’T round up if already even Round 0.1235 cm to 3 S.F. Round 0.12450 cm to 3 S.F. Answer: 0.124 cm Answer: 0.124 cm