Question

How do you round 2,301 to the nearest hundred?

Answer 1

`2300` to the nearest 100

Explanation:

`color(blue)("Answering the question")`

As we are considering the hundreds the 'cut off point' is between hundreds and tens. You will understand what I mean as we go along.

`23color(red)(|)01`
`color(white)(23)color(red)(uarr)`
`color(red)("Cut off point")`

The digit just to the right of the cut of point is 0.

If this fits the condition 'less than 5', which it does, we do not change the digit to the left of the cut off point ( the 3) but change all the digits to its right into 0's giving:

`2300` to the nearest 100

`color(magenta)("This is called rounding down")`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Additional teaching")`

Suppose the number had been `2371` instead

`23color(red)(|)71`
`color(white)(23)color(red)(uarr)`
`color(red)("Cut off point")`

The digit to the right of the cut off point fits the description of '5 or more'.

This time we increase the 3 by 1 and then write all the digits to the right as 0 giving:

`2400` to the nearest 100

`color(magenta)("This is called rounding up")`