l>A feel for big numbers, v grains of salt
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 A feel for big numbers, v grains the salt On being Approximate
visualizing huge pilesa million
 saltgrains a thousand in a pinch in a cup, a billion in a bathtub, a trillion in a classroom
Counting... (with a grain of salt, say ±50%)
 a serial of salt One 100 1.You are watching: How many grains of sugar in a teaspoon some grains ten 101 10. a small pile hundred 102 100. a pinch thousand 103 1,000. 1/4 teaspoon ten thousand 104 10,000. tablespoon hundred thousand 105 100,000. 1/2 cup million 106 1,000,000. ten million 107 10,000,000. hundred million 108 100,000,000. a bathtub billion 109 1,000,000,000. ten billion 1010 10,000,000,000. hundred billion 1011 100,000,000,000. a classroom trillion 1012 1,000,000,000,000.
possibly this would be better done with sugar, together it tastes better...With a 1mm grain size, it would certainly be miscellaneous like:
 sugargrains a thousand in 1/4 teaspoon a million in a 2lb crate (a couple of cups), a billion in m3 ("inside of a car"?) a trillion in 103 m3 ("a pair of rooms"?)
through 1/4 billion world (1/4 bathtub of grains) inthe US... Just how much room under 14 years old? Unemployed? exactly how fastis salt being included by birth? removed by death? (Lots ofstats available...) through a room filled to the ceiling v a sunshine grains, when youopen the door and also paw in ~ it through cupped hands, just how much/fast carry out youmove? through a shovel? A bucket? (The USbudget is a trillion and also a fifty percent dollars. Just how much per day?Second? just how much is Medicare? society security? Education? Space?) Salt is fascinating stuff. Roman inn legions to be payed in it, citiestaxed, evaporating salt-water because that it to be a crime. Politics,rebellions, required for life, preservation of food. Probably someonehas done a net page...

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 A check out from the earlier of the EnvelopeComments encouraged. - Mitchell N Charity mcharitylcs.mit.edu>
History: 2003-Feb-03 addressed 2 links. 2000-Oct-17 Repointed "stats" connect to something similar that works. Many thanks to a reader. 1997.May Created.Some details around this page:The ago of my envelope...I"m making use of "Morton Salt" (table salt).First, some quick and dirty work...The seed measure about 1/2 mm,which gives 20/cm 8000/cm3 8 x 109/m3 1010/m3Its box is a cylinder 6 x 10-4 m3 (8cm d, 12cm h),and masses 0.737 kg,so it is a thickness of around 1.2 kg/m3 (1.2 g/cm3).So 10-10 kg/grain, and 5 x 106 grains in the box.More very closely measuring the grains,I acquire 0.5 +- 0.05 (about 1 grain hesitation in 5mm).Upping the sample to 10mm no seem to assist narrow the uncertainty(due to grain size variations).With this large an uncertainty, I"m no going come worry around howtighly packed the grains are.thus 20/cm (+-2) 6000 to 11000 /cm3 0.6 to 1.1 × 1010 for this reason 1010 (+10%-40% for measurement uncertainty) which provides worst-case percent errors of +70% and also -10%. So, more than likely an overestimate, possibly by a element of 2, but not much of one underestimate.So... Grains/m3 1010 × 0.6 to 1.1 kg/grain 10-10 × 1 come 2 grains/kg 1010 × 0.5 to 1Ok, what space some easily accessible volumes.teaspoon 4.9x10-6 m3tablespoon 1.5x10-5 m3cup 2.4x10-4 m3gallonUS fluid 3.8x10-3 m3foot3 0.028 m3bathtub ~0.2 m3 (~8 ft3)classroom ~200 m3 (10x8x2.5 m)Soteaspoon 3 to 6 × 104, or tablespoon 0.9 come 2 × 105cup 1 to 3 × 106bathtub 1 to 2 × 109classroom 1 come 2 × 1012Ok. Time for a reality check.A large pinch looks about 103 grains(by separating it in half a pair of times and then counting).So a 1/4 teaspoon seems 104 or two.Which sortof fits.(_This_ time that fits. The an initial time it didn"t. Turned the end I had mangled the object vs # seed paragraph. And also in tracing it down, ns would have actually done a lot better to let the numbers command me, rather than having an emotional stake in your fitting. A lesson.)I can do this much more carefully, however for now...Call ita 1/4 teaspoon because that 104a tablespoon because that 105a 1/2 cup for 108a bathub because that 109a classroom because that 1012. A fast hack the a graph...Grain dimension (on the diagonals) vs volume & how countless grains
i should address the non-linear error "feel". 50% appears a biggerdeal for large numbers 보다 for little ones.