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Question

(D) The subtraction is performed as follows: $41.6325 - 41.612 = 0.0205$. According to the rules of significant figures for addition and subtraction,t

Vedclass · Accepted Answer

$0.020, 2$

Vedclass · Answer

(D) The subtraction is performed as follows: $41.6325 - 41.612 = 0.0205$. According to the rules of significant figures for addition and subtraction,the result should be reported to the same number of decimal places as the term with the fewest decimal places. Here,$41.612$ has $3$ decimal places,so the result must be rounded to $3$ decimal places. Rounding $0.0205$ to $3$ decimal places gives $0.020$. The number $0.020$ has $2$ significant figures (the leading zeros are not significant,but the trailing zero is significant because it is to the right of the decimal point in a number less than $1$). Thus,the result is $0.020$ and the number of significant figures is $2$.

Prefixes	Multiples
$i$. micro	$10^6$
$ii$. deca	$10^9$
$iii$. mega	$10^{-6}$
$iv$. giga	$10^{15}$
$v$. femto	$10$

Calculate the reported result and the number of significant figures for $(41.6325 - 41.612)$.

Similar Questions

How many significant figures are present in the following?
$(i)$ $0.0025$
$(ii)$ $208$
$(iii)$ $5005$
$(iv)$ $126.000$
$(v)$ $500.0$
$(vi)$ $2.0034$

Which one of the following is not a unit of pressure?

Round up the following up to three significant figures:
$(i) 34.216$
$(ii) 10.4107$
$(iii) 0.04597$
$(iv) 2808$

Match the following prefixes with their multiples:

Prefixes Multiples

$i$. micro $10^6$

$ii$. deca $10^9$

$iii$. mega $10^{-6}$

$iv$. giga $10^{15}$

$v$. femto $10$

Express the following in scientific notation:
$(i)$ $0.0048$
$(ii)$ $234,000$
$(iii)$ $8008$
$(iv)$ $500.0$
$(v)$ $6.0012$

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