Rounding to Even/Examples/1.565 to 2dp

Example of Rounding to Even

$1 \cdotp 565$ rounded to $2$ decimal places using rounding to even is $1 \cdotp 56$.

Proof

We have that $1 \cdotp 565$ is equally far away from $1 \cdotp 56$ as it is from $1 \cdotp 57$.

But $1 \cdotp 56$ ends in an even integer.

That is, $1356$ is even.

Hence the result.

$\blacksquare$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): rounding
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): rounding