Question

How is 0.2737575 rounded to the nearest ten-thousandth

Answer 1

`0.2738`

Explanation:

`0.2737575`

Let's identify each place value:

`0=Ones\\2=Tenths\\7=Hundredths\\3=Thousandths\\7=Ten-Thousandths\\5=Hundred-Thousandths\\7=Millionths\\5=Hundred-Millionths`

We have a
`7` in the ten-thousandth's place, and what we round it to depends on the place value to the right, and that would be the hundred-thousandth's place, in which we have a
`5`. If the number dependent on rounding is greater than or equal to 5, we round up 1. Numbers less than 5 signal us to round down 1.

Therefore, we have to round
`7` up to
`8`, and leave off the numbers after the ten thousandth's place:

`0.2738`