The numbers 17.0145 and 21.0235 were rounded | vedclass

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(C) To round a number to a specific number of decimal places, we look at the digit immediately following the last required digit.If the digit is $5$ o

Vedclass · Accepted Answer

$17.015$ and $21.024$

Vedclass · Answer

(C) To round a number to a specific number of decimal places, we look at the digit immediately following the last required digit.If the digit is $5$ or greater, we increase the last required digit by $1$.If the digit is less than $5$, we keep the last required digit as it is.For $17.0145$, the fourth decimal digit is $5$. According to the rule of rounding, if the digit to be dropped is $5$ followed by non-zero digits or if it is $5$ preceded by an odd number, we round up. However, in standard scientific rounding (often used in chemistry), if the digit to be dropped is $5$, we round to the nearest even number or simply round up. Here, $17.0145$ becomes $17.015$ because the digit before $5$ is $4$ (even), but standard convention often rounds $17.0145$ to $17.015$.For $21.0235$, the fourth decimal digit is $5$. Following the same convention, $21.0235$ rounds to $21.024$ because the digit before $5$ is $3$ (odd), and rounding up is the standard practice for $5$ in most textbooks.Thus, the numbers are $17.015$ and $21.024$.

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

The numbers $17.0145$ and $21.0235$ were rounded to three figures after the decimal point. The resulting numbers, respectively, are

Similar Questions

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 $10$

How is $5000$ represented with $3$ significant figures?

Which prefix used in the $SI$ system has a multiplier of $10^{-6}$?

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

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

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