Help with Finding Correct Significant Figures in Calculation

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The calculation involves the expression ((5.70 x 10.02) - 7.2356) ÷ 0.014 + 1, where the number 1 is considered exact. To determine the correct significant figures, all operations should be completed before rounding. The least precise measurement, which is 0.014 with two significant figures, dictates the final answer's precision. After performing the calculations, the result is approximately 3600, rounded to two significant figures. Accurate significant figure handling is crucial for precise scientific calculations.
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In the following calculation


( ( (5.70 x 10.02) − 7.2356) ÷ 0.014 ) + 1


the number 1 is defined as exact. Give the correct answer to this calculation with the correct number of significant figures.

I am having a whole lot trouble with finding the correct significant fig. number, help!
 
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parwana said:
In the following calculation


( ( (5.70 x 10.02) − 7.2356) ÷ 0.014 ) + 1


the number 1 is defined as exact. Give the correct answer to this calculation with the correct number of significant figures.

I am having a whole lot trouble with finding the correct significant fig. number, help!

Before rounding, you should perform all necessary operations. Since 1 is exact, it isn't considered when rounding (as far as sigfigs go). Simplify the numerator, and carry out the division. Once you have an answer there, round according to the sigfigs in the fraction (it looks like the denominator will be what you go by).

Post what you come up with.
 
One of your numbers, 0.014, has only two significant figures. You can't be more accurate than your least accurate data.
 
I think it would be

3600
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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