How do you round 3,497 to the nearest hundred?

1 Answer
Oct 19, 2016

#3500# to the nearest 100

Explanation:

The digit of 4 is the hundreds so the cut off is to the right of it.

#34color(red)(|)97#
#color(white)(..)color(red)(uarr)#
#color(red)("Cut off point")#

#color(blue)("Rounding up")#
If the digit to the right of the cut of point is greater than or equal to 5 then we increase the digit to the left by 1.

Then all the digits to the right become zero

#color(blue)("Rounding down")#
If the digit to the right of the cut off point is less than 5 then the digit to the left is not changed.

Then all the digits to the right become zero.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

As #9>=5# we round up giving:

#3500# to the nearest 100