You describe what math skills scientists use in collecting data and making measurements. You will identify the math skills scientists use to analyze their data.

You describe what math skills scientists use in collecting data and making measurements.You will identify the math skills scientists use to analyze their data.

Chapter 1 Lesson4ESTIMATION

ACCURACY

PRECISION

SIGNIFICANT FIGURES

REASONABLE ANOMALOUS DATA

Significant FiguresPhysical ScienceWhat is a significant figure?There are 2 kinds of numbers:Exact: the amount of money in your account. Known with certainty.

What is a significant figure?Approximate: weight, heightanything MEASURED. No measurement is perfect.

When to use Significant figuresWhen a measurement is recorded only those digits that are dependable are written down. When to use Significant figuresIf you measured the width of a paper with your ruler you might record 21.7cm.To a mathematician 21.70, or 21.700 is the same.But, to a scientist 21.7cm and 21.70cm is NOT the same21.700cm to a scientist means the measurement is accurate to within one thousandth of a cm.But, to a scientist 21.7cm and 21.70cm is NOT the sameIf you used an ordinary ruler, the smallest marking is the mm, so your measurement has to be recorded as 21.7cm.How do I know how many Sig Figs?Rule: All digits are significant starting with the first non-zero digit on the left.How do I know how many Sig Figs?Exception to rule: In whole numbers that end in zero, the zeros at the end are not significant.How many sig figs?7400.50.000037 x 1057,000,000111111How do I know how many Sig Figs?2nd Exception to rule: If zeros are sandwiched between non-zero digits, the zeros become significant.How do I know how many Sig Figs?3rd Exception to rule: If zeros are at the end of a number that has a decimal, the zeros are significant. How do I know how many Sig Figs?3rd Exception to rule: These zeros are showing how accurate the measurement or calculation are.How many sig figs here?1.2210056.764.000.07927,083,000,000224334How many sig figs here?340121002100.05.000.004128,000,050,000425336What about calculations with sig figs?Rule: When adding or subtracting measured numbers, the answer can have no more places after the decimal than the LEAST of the measured numbers.Add/Subtract examples2.45cm + 1.2cm = 3.65cm, Round off to = 3.7cm

7.432cm + 2cm = 9.432 round to 9cm

Multiplication and DivisionRule: When multiplying or dividing, the result can have no more significant figures than the least reliable measurement.

A couple of examples56.78 cm x 2.45cm = 139.111 cm2Round to 139cm2

75.8cm x 9.6cm = ?The EndHave Fun Measuring and Happy Calculating!Understanding Significant Figures

Significant figures | Significant figures | Khan Academy1) 69.651 + 97.94 = _______

2) 69.9 + 5.4 = _______

3) 57.23 + 4.4 + 88.5 = ____

4) 22.5732 - 5.7 = _______1) 69.651 + 97.94 = 167.59

2) 69.9 + 5.4 = 75.3

3)57.23 + 4.4 + 88.5 =150.1

4) 22.5732 - 5.7 = 16.91) 410 2.76 = __________

2) 0.9 x 0.004 x 1000 = _____

3) 6000 5.5 = __________

4) 2.13 x 58 = __________1) 410 2.76 = 150

2) 0.9 x 0.004 x 1000 = 4

3) 6000 5.5 = 1,000

4) 2.13 x 58 = 120Percent Error

mean median mode SONG - Bing Videos Listen to the songClick below1)7 , 8 , 9 , 6 , 4 , 6 , 2 , 7 , 5Mean ____ Median ____ Mode ___________ Range ____Mean 6 median 6 mode 6 7 range 72)8 , 3 , 3 , 8 , 4 , 7 , 2 , 2 , 8Mean ____ Median ____ Mode ___________ Range ____Mean 5Median 4Mode 8 Range 6Reasonable and AnomalousData

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