Asked by Anonymous
The density of water is 1gm/cm^3. Use the density and these dimensions to find the mass of the water in grams in a fish tank. Use the rules of significant figures and rounding to come up with the correct answer.
30 cm width * .075 meters length * 15 inches high
I got 8572.5 gms for the mass of the water, but I can't figure out how to round the number to 1 sig fig.
30 cm width * .075 meters length * 15 inches high
I got 8572.5 gms for the mass of the water, but I can't figure out how to round the number to 1 sig fig.
Answers
Answered by
DrBob222
8572.5 rounds to 1 s.f. as
9E3.
9E3.
Answered by
Anonymous
Not sure what 9E3 means. 9000?
And is my calculation of 8572.5 gms correct?
And is my calculation of 8572.5 gms correct?
Answered by
DrBob222
Your calculation is correct.
9E3 means 9 x 10^3. Obviously you can't write this the usual way because that shows 5 s.f. Rounding one less number at a time gives us 8572, 8570, 8600 and 9000. Since we are allowed only one s.f., that can be written as 9000 (but many misinterpret that number as having 4 s.f. and that can be avoided by writing it as 9 x 10^3 or 9E3 and there no ambiguity about that.
9E3 means 9 x 10^3. Obviously you can't write this the usual way because that shows 5 s.f. Rounding one less number at a time gives us 8572, 8570, 8600 and 9000. Since we are allowed only one s.f., that can be written as 9000 (but many misinterpret that number as having 4 s.f. and that can be avoided by writing it as 9 x 10^3 or 9E3 and there no ambiguity about that.
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