The respective number of significant figures | vedclass

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(A) To determine the number of significant figures,we follow these rules:$(i)$ All non-zero digits are significant.$(ii)$ All zeros between two non-ze

Vedclass · Accepted Answer

$5, 1, 2$

Vedclass · Answer

(A) To determine the number of significant figures,we follow these rules:$(i)$ All non-zero digits are significant.$(ii)$ All zeros between two non-zero digits are significant.$(iii)$ For numbers less than $1$,zeros to the right of the decimal point but to the left of the first non-zero digit are not significant.$(iv)$ The power of $10$ is not considered for significant figures.Applying these rules:$1$. For $23.023$: All $5$ digits are significant. So,significant figures $= 5$.$2$. For $0.0003$: The zeros before the $3$ are not significant. Only the digit $3$ is significant. So,significant figures $= 1$.$3$. For $2.1 	imes 10^3$: The power of $10$ is ignored. The digits $2$ and $1$ are significant. So,significant figures $= 2$.Thus,the number of significant figures are $5, 1, 2$ respectively.

The respective number of significant figures for the numbers $23.023$,$0.0003$,and $2.1 \times 10^3$ are:

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$Assertion$ : The number of significant figures depends on the least count of the measuring instrument.
$Reason$ : Significant figures define the accuracy of the measuring instrument.

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