Rounding to the Nearest Hundred
Rounding to the nearest hundred means finding the closest multiple of 100 by looking at the tens digit: if it is 5 or greater, round up; if it is 4 or less, round down. For example, 681 rounds up to 700 because the tens digit is 8, while 3,440 rounds down to 3,400 because the tens digit is 4. This skill is part of Saxon Math Intermediate 4 and is a critical 4th grade math tool for estimation, mental math, and checking whether answers are reasonable.
Key Concepts
Property To round to the nearest hundred, find the closest multiple of 100. Look at the digit in the tens place: if it is 5 or more, round up. If it is less than 5, round down.
Examples To round 681, the tens digit is 8, which is more than 5, so we round up to the next hundred: $700$. To round 3440, the tens digit is 4, which is less than 5, so we round down to the current hundred: $3400$. To round 950, the tens digit is 5, so we follow the rule to round up to the next hundred: $1000$.
Explanation Think of hundreds as stepping stones. The tens digit tells you where to jump! If it’s 5 or more, you have enough power to leap forward to the next, bigger stone. If it's less than 5, you just hop back to the previous one.
Common Questions
How do you round to the nearest hundred?
Look at the digit in the tens place. If it is 5 or more, round up to the next hundred. If it is 4 or less, round down and keep the current hundred. For example, 472 → look at 7 → round up → 500.
What digit do you look at when rounding to the nearest hundred?
You look at the tens digit. This digit tells you whether to round up to the next hundred or stay at the current hundred.
What is the difference between rounding to the nearest ten vs. nearest hundred?
When rounding to the nearest ten, you look at the ones digit. When rounding to the nearest hundred, you look at the tens digit. For 563: rounding to the nearest ten gives 560 (ones digit 3 < 5); rounding to the nearest hundred gives 600 (tens digit 6 ≥ 5).
When do students learn rounding to the nearest hundred?
Rounding to the nearest hundred is a 4th grade math skill taught in Saxon Math Intermediate 4. Students typically learn rounding to the nearest ten first, then extend the same rule to hundreds and thousands.
What are common rounding mistakes students make?
A common mistake is looking at the wrong digit — checking the ones place instead of the tens place when rounding to hundreds. Another error is rounding all the digits to the right, instead of just changing the hundreds digit.
Why is rounding to the nearest hundred useful?
Rounding to hundreds makes estimation fast. Instead of adding 387 + 215, you can estimate 400 + 200 = 600 to check if your exact answer is in the right range. This mental math shortcut is used in budgeting, shopping, and data analysis.