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What is the number of significant figures in $6*(7.203)**2$?

Physics Asked on November 17, 2021

My textbook says:

"In multiplication or division, the final
result should retain as many significant
figures as are there in the original number
with the least significant figures."

but it also says $6*(7.203)**2$ has four significant figures. Shouldn’t it be one, considering the above rule?

One Answer

The book is right because “6” by convention means exactly six (i.e., 6.000000... to infinite precision). “6.” would mean “approximately six, to one significant digit”, in which case you would be right.

Answered by G. Smith on November 17, 2021

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