The same four steps work for every place, from the nearest ten to the nearest hundred thousand, and for decimals too.
Take 4,730 to the nearest hundred.
Step 2 is the one usually skipped, and it is the one that makes the rest make sense. Once a child can see that the answer has to be either 4,700 or 4,800, step 4 is a question about distance rather than a rule to remember.
Then the number sits exactly halfway and neither neighbor is closer. 4,750 is fifty away from 4,700 and fifty away from 4,800.
The convention taught in school is to go up, so 4,750 becomes 4,800. Worth saying out loud to a child that this one is a rule people agreed on rather than something they can work out, because a child who is genuinely reasoning about distance will otherwise be confused by it, and reasonably so.
Nothing changes. To round 3.47 to the nearest tenth, the tenths digit is the 4, the two neighbors are 3.4 and 3.5, and the deciding digit is the 7. Seven is 5 or more, so the 4 goes up: 3.47 → 3.5
The one thing that trips people up is which direction to count from the decimal point. Tenths, hundredths and thousandths are to the right of it. Ones, tens and hundreds are to the left.
They round every question to the same place.
It is not carelessness. A worksheet normally asks for one place all the way down the page, so after the first question there is no reason to read the instruction again, and a child who stops reading it still scores full marks. The habit is invisible until the place changes between questions, and then it looks like they have forgotten how to round, when what they have actually learned is that the instruction is safe to ignore.
The fix is mixing the places rather than doing more questions. A child who has to find the place fresh every time cannot answer on autopilot.
Ordinary usage is "round up" and "round down", and that is what most people search for. The practice here deliberately avoids both.
"Round down" suggests the number gets smaller in some visible way, and children respond by changing the digit. Rounding down does not change it at all: the digit stays exactly as it was and only the digits after it become zeros. Saying "it stayed" describes what actually happens to the digit in front of them, and one common error disappears with it.
Rounding Helper walks through these four steps one at a time, with a number line that stays hidden until after the two neighbors have been named, so the answer cannot be read off the screen before the thinking happens. It also prints worksheets with an answer key.
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