How many significant figures should be presen | vedclass

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Question

(A) $(i)$ In multiplication and division,the result should have the same number of significant figures as the term with the least significant figures.

Vedclass · Accepted Answer

$3, 4, 4$

Vedclass · Answer

(A) $(i)$ In multiplication and division,the result should have the same number of significant figures as the term with the least significant figures. Here,$0.112$ has $3$ significant figures,so the answer should have $3$ significant figures.$(ii)$ In multiplication,when one number is an exact constant (like $5$),the result should have the same number of significant figures as the other number. $5.364$ has $4$ significant figures,so the answer should have $4$ significant figures.$(iii)$ In addition,the result should have the same number of decimal places as the term with the fewest decimal places. All terms $(0.0125, 0.7864, 0.0215)$ have $4$ decimal places. The sum is $0.8204$,which has $4$ significant figures.

How many significant figures should be present in the answer of the following calculations?
$(i)$ $\frac{0.02856 \times 298.15 \times 0.112}{0.5785}$
$(ii)$ $5 \times 5.364$
$(iii)$ $0.0125 + 0.7864 + 0.0215$

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How many significant figures should be present in the answer of the following calculations?$(i)$ $\frac{0.02856 \times 298.15 \times 0.112}{0.5785}$$(ii)$ $5 \times 5.364$$(iii)$ $0.0125 + 0.7864 + 0.0215$