Rounding/Examples

Examples of Rounding

$72 \cdotp 8146$ to $2$ Decimal Places

$72 \cdotp 8146$ rounded to $2$ decimal places is $72 \cdotp 81$.

This is because $72 \cdotp 8146$ is closer to $72 \cdotp 81$ than $72 \cdotp 82$.

$48 \cdotp 6$ to Nearest Unit

$48 \cdotp 6$ rounded to the nearest unit is $49$.

This is because $48 \cdotp 6$ is closer to $49$ than $48$.

$136 \cdotp 5$ to Nearest Unit

$136 \cdotp 5$ rounded to the nearest unit is $136$.

We have that $136 \cdotp 5$ is half way between $136$ and $137$, and the convention is to round to the nearest even digit.

$2 \cdotp 484$ to Nearest Hundredth

$2 \cdotp 484$ rounded to the nearest hundredth is $2 \cdotp 48$.

This is because $2 \cdotp 484$ is closer to $2 \cdotp 48$ than $2 \cdotp 49$.

$0 \cdotp 0435$ to Nearest Thousandth

$0 \cdotp 0435$ rounded to the nearest thousandth is $0 \cdotp 044$.

We have that $0 \cdotp 0435$ is half way between $0 \cdotp 043$ and $0 \cdotp 044$, and the convention is to round to the nearest even digit.

$4 \cdotp 500 \, 01$ to Nearest Unit

$4 \cdotp 500 \, 01$ rounded to the nearest unit is $5$.

This is because $4 \cdotp 500 \, 01$ is closer to $5$ than $4$.

$143 \cdotp 95$ to Nearest Tenth

$143 \cdotp 95$ rounded to the nearest tenth is $144 \cdotp 0$.

We have that $143 \cdotp 95$ is half way between $143 \cdotp 9$ and $144 \cdotp 0$, and the convention is to round to the nearest even digit, which in this case is $0$.

$368$ to Nearest Hundred

$368$ rounded to the nearest hundred is $400$.

This is because $368$ is closer to $400$ than $300$.

$24 \, 448$ to Nearest Thousand

$24 \, 448$ rounded to the nearest thousand is $24 \, 000$.

This is because $24 \, 448$ is closer to $24 \, 000$ than $25 \, 000$.

$5 \cdotp 565 \, 00$ to Nearest Hundredth

$5 \cdotp 565 \, 00$ rounded to the nearest hundredth is $5 \cdotp 56$.

We have that $5 \cdotp 565 \, 00$ is half way between $5 \cdotp 56$ and $5 \cdotp 57$, and the convention is to round to the nearest even digit.

$5 \cdotp 565 \, 01$ to Nearest Hundredth

$5 \cdotp 565 \, 01$ rounded to the nearest hundredth is $5 \cdotp 57$.

This is because $5 \cdotp 565 \, 01$ is closer to $5 \cdotp 57$ than $5 \cdotp 56$.

$12 \cdotp 5664$ to One Decimal Place

$12 \cdotp 5664$ rounded to $1$ decimal place is $12 \cdotp 6$.

This is because $12 \cdotp 5664$ is closer to $12 \cdotp 6$ than it is to $12 \cdotp 5$.

$12 \cdotp 5664$ to Two Decimal Places

$12 \cdotp 5664$ rounded to $2$ decimal places is $12 \cdotp 57$.

This is because $12 \cdotp 5664$ is closer to $12 \cdotp 57$ than it is to $12 \cdotp 56$.

$1 \cdotp 576$ and $1 \cdotp 5751$ to Two Decimal Places

$1 \cdotp 576$ and $1 \cdotp 5751$ rounded to $2$ decimal places are both $1 \cdotp 58$.

This is because they are both closer to $1 \cdotp 58$ than they are to $1 \cdotp 57$.

$1 \cdotp 572$ and $1 \cdotp 5749$ to Two Decimal Places

$1 \cdotp 572$ and $1 \cdotp 5749$ rounded to $2$ decimal places are both $1 \cdotp 57$.

This is because they are both closer to $1 \cdotp 57$ than they are to $1 \cdotp 58$.

$12 \cdotp 5664$ to Two Significant Figures

$12 \cdotp 5664$ rounded to $2$ significant figures is $13$.

This is because $12 \cdotp 5664$ is closer to $13$ than it is to $12$.

$419 \cdotp 8$ to Three Significant Figures

$419 \cdotp 8$ rounded to $3$ significant figures is $420$.

This is because $419 \cdotp 8$ is closer to $420$ than it is to $419$.

$0 \cdotp 02006$ to Three Significant Figures

$0 \cdotp 02006$ rounded to $3$ significant figures is $0 \cdotp 0201$.

This is because $0 \cdotp 02006$ is closer to $0 \cdotp 0201$ than it is to $0 \cdotp 0200$.

Also note that the $0$ immediately to the right of the decimal point does not count as one of the significant figures.