Round to a Requested Large Place
Identify the stated place, bracket the number between neighboring multiples, and compare its distance to each.
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 46,481 to the nearest thousand.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Rounding a large number still compares neighboring multiples of the requested place. Find the lower and upper landmarks and the midpoint. A number’s many digits do not change the principle. This course uses the higher landmark for exact midpoint ties and labels the result as approximate.
Identify the stated place, bracket the number between neighboring multiples, and compare its distance to each. Round once from the original value rather than repeatedly rounding through smaller places, which can change the result.
Use the requested place’s midpoint. Repeated rounding can differ from rounding the original number directly. Write the lower landmark, midpoint, and upper landmark on a labeled number line.
- Write the lower landmark, midpoint, and upper landmark on a labeled number line.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Identify the stated place, bracket the number between neighboring multiples, and compare its distance to each.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Round 46,481 to the nearest thousand. Its neighbors are 46,000 and 47,000; it is 481 above the lower and 519 below the upper. It rounds to 46,000. First rounding to a hundred could shift a midpoint case, so round directly to the requested place. Use the requested place’s midpoint. Repeated rounding can differ from rounding the original number directly. Write the lower landmark, midpoint, and upper landmark on a labeled number line.
Check your reasoning
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Helpful tips
- Use the requested place’s midpoint.
- Repeated rounding can differ from rounding the original number directly.
See the answer and explanation
26000
Compare the neighboring thousand landmarks directly from the original number. The result is 26000.
Take it further
Round 73,550 to the nearest ten-thousand. Expected: 70,000.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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