No decimal: Everything EXCEPT 0’s at the end (4100 2 sig. fig.’s) Decimal: Everything EXCEPT...
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Transcript of No decimal: Everything EXCEPT 0’s at the end (4100 2 sig. fig.’s) Decimal: Everything EXCEPT...
How many sig figs does this number have?
No decimal:Everything EXCEPT 0’s at the end (4100 2 sig. fig.’s)
Decimal:Everything EXCEPT 0’s at the
beginning (0.0032 2 sig. fig.’s) (1000. 4 sig. fig.’s) (1.0003 5 sig. fig.’s)
How many sig figs does this number have?
If the number is in Scientific notation:
Everything before the x 10something
(1.540 x 1017 4 sig. fig.’s) (1.2 x 1024 2 sig. fig.’s)
Count the sig. fig.’s:
1. 2002. 200.3. 200.004. 2.000 x 1014
5. 200.016. 0.000007
1
5
4
5
3
1
Adding/Subtracting Sig Figs
Line up the decimal places Draw a straight line just past the last digit they have in common.
Add/subtract Keep everything to the left of the line.
23.2 6.052+ 139.4
23.2 6.052+ 139.4 168.652 168.7
153 600+ 168 921 900
0.0097 + 0.0563 0.0660 0.0660
Multiplying & Dividing Sig Figs
Round the answer to the same number of sig figs as in the number with the fewest sig figs.
23.2 x 0.1257 = 2.91642 2.92
14.89 ÷ 0.003 = 4963.333 5000
42.7 X 0.0046 = 0.19642 0.20
407.1 / 12.3 = 33.09756 33.1
2.7 X 0.1400 = 0.378 0.38
Exact Numbers Found by:
• Counting (ex: I see 24 students in my class)
• By definition (there are 12 inches in a foot or 1000 m in 1 km)
Do not take in account any exact numbers when counting sig figs during calculations.
*so if you are dividing #cm/#pages, the #pages is exact so your final answer will have the same number of sig figs as your # cm.