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Rounding to nearest integer

When rounding to the nearest integer, we do exactly the same steps as when rounding to decimal places, but the th decimal place is the units column (the digit to the left of the decimal point).

Make sure to round up if the next digit is or more, and then we remove all digits after the decimal point.

  • The digit we are rounding to is the .
  • The next digit is , which is less than , so we round down and keep the the same.
  • Answer: .
  • The digit we are rounding to is the .
  • The next digit is , which is more than , so we round up and increase the by to get .
  • Answer: .
  • The digit we are rounding to is the .
  • The next digit is , which is equal to , so we round up and increase the by to get .
  • Answer: .
  • The digit we are rounding to is the .
  • The next digit is , which is more than , so we round up and increase the by to get .
  • Since becomes , we set the units place to and increase the tens place by (which is also ) to get (so now we have ).
  • Answer: .
  • The digit we are rounding to is the .
  • The next digit is , which is less than , so we round down and keep the the same.
  • Answer: .

Don’t be tempted to round to , which would then round to . Always look directly at the digit after the decimal point - don’t try to round in stages!

  • The digit we are rounding to is the last (the units place).
  • The next digit is , which is equal to , so we round up and increase the last by to get .
  • Since becomes , we set the units place to and increase the tens place by (which is also ) to get .
  • We repeat this process for the hundreds place, resulting in .
  • Answer: .