Scientific Measurement
Scientists prefer QUANTITATIVE as there is no room for bias! Types of measurement Quantitative- use numbers to describe Qualitative- use description without numbers 4 feet extra large Hot 100ºF Scientists prefer QUANTITATIVE as there is no room for bias!
Remember… Numbers without units are meaningless. NO NAKED NUMBERS!!!
How good are measurements? Accuracy- how close the measurement is to the true value Precision- how well can the measurement be reproduced
Let’s use a golf analogy
Accurate? No Precise? Yes
Accurate? Yes Precise? Yes
Precise? No Accurate? No
Accurate? Yes Precise? We can’t say!
Significant figures (sig figs) How many numbers in a measurement means something When we measure something, we can (and do) always estimate between the smallest marks. 2 1 3 4 5
Significant figures (sig figs) More marks = More precision Scientists always understand that the last number measured is actually an estimate 1 2 3 4 5
Sig Figs Since science tools aren’t precise to infinite digits, we say only certain numbers are “significant” to us.
Atlantic/Pacific Rule Number Pacific Atlantic If decimal is “Present” start counting from the Pacific Side at the first “non-zero” digit and continue counting until the number ends. If the decimal is “Absent” start counting from the Atlantic side at the first “non-zero” digit and continue counting until the number ends.
How many sig figs in these measurements? 3 #2: 4850 g #3: 0.0485 g #4: 40.0040850 g 9
Which measurement has 3 sig figs? 2.013 4200 74.0 830
Round the following numbers to three sig figs. #1: 47. 389 47
Determine the number of significant figures for each number: 461728 0.04216 14.91 50620.0 0.980001 3.5810 5.2631 22.101 23.1 0.9307
Answers: Determine the number of significant figures for each number 461728 6 0.04216 4 14.91 4 50620.0 6 0.980001 6 3.5810 5 5.2631 5 22.101 5 23.1 3 0.9307 4
More Practice 1234 1020010 0.023 1000 890 918.010 91010 0.0001 9010.0 0.00390 1090.0010 8120 0.00120 72 0.00030
Answers: More Practice 1234 4 1020010 6 0.023 2 1000 1 890 2 918.010 6 91010 4 0.0001 1 9010.0 5 0.00390 3 1090.0010 8 8120 3 0.00120 3 72 2 0.00030 2