Help with Finding Correct Significant Figures in Calculation

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Homework Help Overview

The discussion revolves around a calculation involving significant figures in the context of arithmetic operations. Participants are exploring how to correctly apply the rules of significant figures to a specific mathematical expression.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the importance of identifying significant figures in the calculation, particularly focusing on the role of the exact number 1 and the least precise measurement, which is 0.014. There are inquiries about how to handle rounding and the implications of significant figures on the final result.

Discussion Status

Some guidance has been offered regarding the order of operations and the significance of the exact number in the context of rounding. Multiple interpretations of the significant figures are being explored, particularly concerning the impact of the least precise measurement.

Contextual Notes

Participants are considering the constraints imposed by significant figures in the context of the given numbers, particularly noting that 0.014 has only two significant figures, which may limit the accuracy of the final answer.

parwana
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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
 

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