Rounding to Even/Examples/116,500,000 to Nearest Million

Example of Rounding to Even

$116 \, 500 \, 000$ rounded to the nearest million using rounding to even is $116 \, 000 \, 000$.

Proof

We have that $116 \, 500 \, 000$ is equally far away from $116 \, 000 \, 000$ as it is from $117 \, 000 \, 000$.

But $116 \, 000 \, 000$ ends in an even integer.

That is, $\dfrac {116 \, 000 \, 000} {10^6} = 116$ is even.

Hence the result.

$\blacksquare$

Sources

• 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Rounding of Data