Question

Question #d092f

Answer 1

`168,104" to the nearest "10,000 " is "170,000`

Explanation:

making a comparison to ten thousand

`168104`
`color(white)("d")10000`

`color(red)("So the 'cut off point' is:")`
`color(red)(color(white)("dd.d")darr)`
`color(white)("d")1color(white)("d")6color(white)("d")8color(white)("d")1color(white)("d")0color(white)("d")4`
`ubrace(color(white)("ddd")1)color(white)("d")0color(white)("d")0color(white)("d")0color(white)("d")0`
`color(white)("d.")uarr`
The numbers
we are interested in

Looking at the digit immediately to the right of the 'cut off point' we have 8.

As this is more than 5 we round up (the 6 becomes 7)

`168,104" to the nearest "10,000 " is "170,000`

Answer 2

`168104` estimates (rounds) to to `170000`.

Explanation:

When rounding a number, we look at the number to the immediate right of the number to be rounded. If that number is `>=5`, you round the number up. If that number is `<=4`, you keep the number to be rounded the same (also called rounding down).

Given: What does 168,104 estimate to in the nearest ten thousand?

This means how to round 168104 to the nearest ten thousand?.

The number in the ten thousands place is `6`, shown in red:

`1color(red)(6)8104`

The number directly to its right is `8`, shown in blue:

`1color(red)(6)color(blue)(8)104`

Since `8` is in the category of `>=5`, The `6` in the ten thousands place should be rounded up, and all of the following digits become zeros.

`168104=170000`