To round to the nearest \(100,\) the tens digit and any following digits must be \(0.\) If the original number has a \(0,1,2,3,\) or \(4\) in the tens place, round the tens and ones down to \(0.\) If the original number has a \(5,6,7,8,\) or \(9\) in the tens place, round up to the next multiple of \(100.\)
Rounding is a way to represent one number by another nearby number. For example, suppose you collect peanuts in a basket and count as you go. There are \(487\) peanuts in your basket. Your friend asks how many peanuts you got and you say about \(500\). This answer is okay because it is close to the actual number.
Examples of rounding to the nearest \(100\):
\(21\) rounds down to \(0\) because it has a \(2\) in the tens place.
\(75\) rounds up to \(100\) because it has a \(7\) in the tens place.
\(505\) rounds down to \(500\) because it has a \(0\) in the tens place.
\(649\) rounds down to \(600\) because it has a \(4\) in the tens place.
\(1,758\) rounds up to \(1,800\) because it has a \(5\) in the tens place.
Round this number to the nearest \(100.\)