Question

the final result of calculations in an experiment is 125,347,200. express the number in terms of significant places when.(I) accuracy is between 1 and 10(ii) accuracy is between 1 to 100 (iii) accuracy is between 1 and 1000​

Answer 1

125,347,200 expressed if accuracy is 1-10 is $1.2*10^{8}$, 1-100 is $1.25*10^{8}$ , 1-1000 is $1.253*10^{8}$

Given that,

The final result of calculations= 125,347,200

i) When the accuracy of a number is between 1 and 10 it can be rounded to 2 significant figure

Therefore,

125347200 rounded to 2 significant figures= $1.2*10^{8}$

ii) When accuracy of a number is between 1 and 100 it can be rounded to 3 significant figures.

Therefore,

125347200 rounded to 3 significant figures = $1.25*10^{8}$

iii) When accuracy of a number is between 1 and 1000 it can be rounded to 4 significant figures.

Therefore,

125347200 rounded to 4 significant figures =$1.253*10^{8}$

While counting significant figures, the power of 10 does not count

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