From the point of view of significant figures | vedclass

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Question

(A) In addition and subtraction,the result should be reported to the same number of decimal places as the measurement with the fewest decimal places.$

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$(ii)$ only

Vedclass · Answer

(A) In addition and subtraction,the result should be reported to the same number of decimal places as the measurement with the fewest decimal places.$(i)\ 11.3 \ cm$ (one decimal place) $+ 4 \ cm$ (zero decimal places) $= 15 \ cm$. Thus,$(i)$ is incorrect.$(ii)\ 4.53 \ m$ (two decimal places) $- 1.2 \ m$ (one decimal place) $= 3.3 \ m$. Thus,$(ii)$ is correct.$(iii)\ 5.45 \ kg$ (two decimal places) $- 3.2 \ kg$ (one decimal place) $= 2.3 \ kg$. Thus,$(iii)$ is incorrect.$(iv)\ 84.8 \ cm$ (one decimal place) $+ 48.6 \ cm$ (one decimal place) $= 133.4 \ cm$. Thus,$(iv)$ is incorrect.Therefore,only $(ii)$ is correct.

Column-$I$	Column-$II$
$(a)$ $0.007\ m^2$	$(p)$ $2$
$(b)$ $2.64 \times 10^{24}\ kg$	$(q)$ $1$
$(c)$ $0.0021\ g\ cm^{-3}$	$(r)$ $4$
$(d)$ $0.0006032\ J$	$(s)$ $3$

From the point of view of significant figures,which of the following is/are correct?
$(i)\ 11.3 \ cm + 4 \ cm = 15.3 \ cm$
$(ii)\ 4.53 \ m - 1.2 \ m = 3.3 \ m$
$(iii)\ 5.45 \ kg - 3.2 \ kg = 2.25 \ kg$
$(iv)\ 84.8 \ cm + 48.6 \ cm = 133 \ cm$

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Column-$I$ Column-$II$

$(a)$ $0.007\ m^2$ $(p)$ $2$

$(b)$ $2.64 \times 10^{24}\ kg$ $(q)$ $1$

$(c)$ $0.0021\ g\ cm^{-3}$ $(r)$ $4$

$(d)$ $0.0006032\ J$ $(s)$ $3$

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From the point of view of significant figures,which of the following is/are correct?$(i)\ 11.3 \ cm + 4 \ cm = 15.3 \ cm$$(ii)\ 4.53 \ m - 1.2 \ m = 3.3 \ m$$(iii)\ 5.45 \ kg - 3.2 \ kg = 2.25 \ kg$$(iv)\ 84.8 \ cm + 48.6 \ cm = 133 \ cm$