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Prime 5 Most Complicated Things About Sig Figs (Significant Figures)
Sig Figs, Sig Digs, Devil’s contribution to math and science — whatever you need to call them, they're one of the vital hated and commonly confused ideas in science and math. Ignore them at your own peril, since those half factors off will add up and turn your A’s into B’s, or your B’s into C’s in case you’re not careful. The thing is, sig figs really are NOT THAT HARD to master, and in case you know these 5 ideas, you then’ll have a leg up on everybody else who still can’t work out the ins and outs of sig figs.
1. How To Deal With Zeros
Sandwiched zeros are significant
300 has one sig fig, but 303 has three sig figs because the middle zero turns into significant
If trailing zeros come after a decimal level, then they're significant
1.000 (4 sig figs) is a more precise measurement than 1.zero (2 sig figs)
If trailing zeros come after a number without a decimal point, then they're NOT significant
5,000 has 1 sig fig, however 5,000. has 4 sig figs because of the decimal point
Leading zeros are NEVER significant
0.0003 has one sig fig, however 0.3003 has four sig figs for the reason that 0’s are sandwiched
2. How To Multiply and Divide With Sig Figs
Plug in every number exactly as it seems in the problem
Look at the number of sig figs in every number
Spherical your answer so it comprises the least number of sig figs out of all the numbers being multiplied or divided
ex: 325.zero (four sig figs) / 2.zero (two sig figs) = 162.5, however the answer ought to only have two sig figs, so you’d spherical it to 160 (two sig figs; zero is not a sig fig) as your reply
3. What About Multiplying With Unit Conversions?
The numbers you utilize for unit conversions do not rely as sig figs
ex: if you wish to convert 38.5 grams into kilograms, your reply would have 3 sig figs still, even if you happen to use the conversion 1kg/1,000g
4. Adding and Subtracting With Sig Figs
Sig Figs DO NOT MATTER when adding and subtracting numbers
Instead, your answer ought to contain the least number of decimal places
ex: 4.32 + 5.1 ought to have one decimal point, so you discover the exact answer (9.forty two) and round it to an answer with one decimal level (9.4)
5. How To Measure Volumes With Sig Figs
There will typically be a curve, or meniscus, in the top of a liquid — always measure the underside of the meniscus
If you end up measuring the volume of something in a beaker or graduated cylinder, look at each tick mark, then go one decimal point further when recording your calculation
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