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Estimate by Front-End Rounding

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Estimate by Front-End Rounding

Front-end rounding is a quick way to make an estimate by keeping only the first digit or first place value that matters, then changing the rest of the number to zeros. It gives a reasonable answer without doing exact calculation.

How to do it

  1. Look at the first digit(s) of each number. Keep the leftmost place value that is important for the estimate.
  2. Round from the front by turning the remaining digits into zeros. This is not the same as regular rounding to the nearest ten or hundred; you are simplifying the number using its leading part.
  3. Use the rounded numbers to complete the operation.
  4. Simplify the result if needed.

Example idea

If a number is large, keep the front digit(s) and replace the rest with zeros before estimating. Then compute with those easier numbers.

Check your answer

  • Make sure each original number was simplified in the same way.
  • The estimate should be close to the exact answer, but it does not need to be exact.
  • If the exact answer is given later, compare it to see whether your estimate makes sense.

Good habit

Use front-end rounding when you want a fast, sensible estimate and the exact calculation would take longer.

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