Rounding to Even/Examples/72.465 to 2dp

Example of Rounding to Even
$72 \cdotp 465$ rounded to $2$ decimal places using rounding to even is $72 \cdotp 46$.

Proof
We have that $72 \cdotp 465$ is equally far away from $72 \cdotp 46$ as it is from $72 \cdotp 47$.

But $72 \cdotp 46$ ends in an even integer.

That is, $7246$ is even.

Hence the result.