Round Decimals to a Requested Place
Locate neighboring multiples of the requested place and compare distances.
About 20 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: Round 6.284 to hundredths.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Decimal rounding uses the same nearest-landmark idea as whole-number rounding. Hundredth landmarks are separated by 0.01 and their midpoint by 0.005. Read the requested place carefully. Use the original value and the stated upward tie convention; label the result as an approximation.
Locate neighboring multiples of the requested place and compare distances. Round directly from the supplied original decimal. Keep a trailing zero when it communicates the requested precision, even though the numerical value is unchanged.
Read the requested precision before rounding. Rounding an already rounded value can differ from rounding the original directly. Mark the original decimal between its neighboring hundredth values.
- Mark the original decimal between its neighboring hundredth values.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Locate neighboring multiples of the requested place and compare distances.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Round 6.284 to hundredths. It lies between 6.28 and 6.29 and is four thousandths above the lower landmark, so it rounds to 6.28. The midpoint 6.285 would round to 6.29 under the upward convention. Rounding to tenths would give 6.3 instead. Read the requested precision before rounding. Rounding an already rounded value can differ from rounding the original directly. Mark the original decimal between its neighboring hundredth values.
Check your reasoning
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Helpful tips
- Read the requested precision before rounding.
- Rounding an already rounded value can differ from rounding the original directly.
See the answer and explanation
2.35
Compare neighboring hundredths using the third decimal digit. The result is 2.35.
Take it further
Round 9.996 to hundredths. Expected: 10.00, including the carry into a new whole.
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