Question
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Round off the following number to two significant figures: 652,387

Ask by Thornton Park. in the United States
Mar 23,2025

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Tutor-Verified Answer

Answer

The number 652,387 rounded to two significant figures is 650,000.

Solution

  1. Express the given number in scientific notation:
  2. To round to two significant figures, we consider the first two digits, , and look at the third digit (which is 2).
  3. Since , the second digit remains unchanged.
  4. The rounded number in scientific notation is:
  5. Converting back to standard notation, we have:
Thus, the rounded number is .

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Mind Expander

When rounding off 652,387 to two significant figures, we look at the first two digits: 6 and 5. The next digit is 2, which tells us to keep the 5 as is. Therefore, rounded to two significant figures, the number becomes 6,500.
For a fun fact, did you know that significant figures are used not just in rounding but also to express the precision of a measurement? For example, in scientific studies, the number of significant figures indicates how reliable, accurate, or precise the measurement is!

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