How many Sig Figs? Start counting sig figs at the first non-zero.

Slides:

Advertisements

Similar presentations

The volume we read from the beaker has a reading error of +/- 1 mL.

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.

Significant digits Objectives: State the purpose of significant digits

Significant Figures Part II: Calculations.

Rules for Significant Figures

Calculations with Significant Figures

Objective of the day: To understand how to measure using a graduated cylinder, triple beam balance and a ruler.

TOPIC: Significant Figures Do Now: Round 9, to the… 1.Tenths 2.Ones 3.Hundreds 4.Thousandths 5.Thousands.

IB Chem I Uncertainty in Measurement 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.

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

Counting Significant Figures:

Significant Figures Rules and Applications. Rules for Determining Significant Figures 1.) All Non-Zero digits are Significant. 1.) All Non-Zero digits.

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 -

4.158 Accuracy = Precision = Round to 3 significant figures 4 digits thousandths 4.16.

Significant Figures in Calculations. A calculated answer cannot be more precise than the least precise measurement from which it was calculated. The answer.

Significant Figures. What is a significant figure? The precision of measurements are indicated based on the number of digits reported. Significant figures.

Significant Figures Physical Science. What is a significant figure? There are 2 kinds of numbers: –Exact: counting objects, or definitions. –Approximate:

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.

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. What are Sig Figs? Significant Figures are the digits in a measurement that are either knowns or estimates cm = 5 sig figs.

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 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.

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.

Adding, Subtracting, Multiplying and Dividing with Sig Figs.

Rules for Significant Figures

Unit 3 lec 2: Significant Figures

Daily Review Tell the difference between accuracy and precision. Give an example. Record 56, in scientific notation. Record in scientific.

Part 2 Significant Figures with Calculations

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

Learning Targets I can use correct numbers of significant figures and units in both measurements and calculations. I can accurately measure mass and volume.

Math of Chem I Textbook Chapter 1 Aim:

Significant Figures Sig Figs.

Ch. 2 Math Review.

Measurement: Significant Figures

Aim: Why are Significant Figures Important?

SIG FIGURE’S RULE SUMMARY

Significant Figures.

Unit-1 Physics Physical World and Measurements

Introduction to Chemistry Part 2

35 m = ______ cm 250 g = ______ kg 650 mm = ______ m 230 m = ______ km

Warm Up #2 1. Put these metric prefixes in order, starting with the smallest: A. kilogram B. milligram C. decigram D. microgram.

Significant Figures Physical Science Mr. Ramirez.

Unit 2- Measurements- Significant Figures & Scientific Notation

(sig figs if you’re cool)

Significant Figures Physical Science.

Significant Figures

Rules for Significant Digits

SIGNIFICANT figures.

Significant Figures The numbers that count.

Significant Figures.

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)

What are Significant Figures?

Unit 1 lec 3: Significant Figures

Significant Figures Chemistry.

Exact and Inexact Numbers

Significant Figures.

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

Measurement Accuracy & Precision.

Accuracy and Precision

Significant Figures Part 1: Counting Sig figs

How do you determine where to round off your answers?

Measurement and Calculations

Significant Figures Physical Science.

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.

Presentation transcript:

How many Sig Figs? Start counting sig figs at the first non-zero. All digits except place-holding zeroes are sig figs. Measurement # of Sig Figs 0.115 cm 3 0.00034 cm 2 0.00304 cm 0.0560 cm 0.00070700 cm 5 Measurement # of Sig Figs 234 cm 3 67000 cm 2 _ 45000 cm 4 560. cm 560.00 cm 5

What Precision? A number’s precision is determined by the furthest (smallest) place the number is recorded to. 6000 mL : thousands place 6000. mL : ones place 6000.0 mL : tenths place 5.30 mL : hundredths place 8.7 mL : tenths place 23.740 mL : thousandths place

Rounding with addition and subtraction Answers are rounded to the least precise place.

Rounding with multiplication and division Answers are rounded to the fewest number of significant figures.

Metric Conversions Determine how many powers of ten difference there are between the two units (no prefix = 100) and create a conversion factor. Multiply or divide the given by the conversion factor. How many kg are in 38.2 cg? (38.2 cg) /(100000 cg/kg) = 0.000382 km How many mL in 0.988 dL? (0.988 dg) X (100 mL/dL) = 98.8 mL