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What is the result when 5,678,732 is rounded to the nearest thousand and then put in scientific notation? 
  • a)
    5.679 × 10−6
  • b)
    5.678 × 106
  • c)
    5.679 × 103
  • d)
    5.679 × 106
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is the result when 5,678,732 is rounded to the nearest thousand a...
First, when we round to the nearest thousand we get 5, 679, 000 since we round up when the next digit is greater than 5.
Then, to put it in scientific notation, we arrange the digits so that a decimal point creates a number between 1 and 10. We get 5.679.
Then, we want the exponent of the 10 to be the number of times the decimal needs to move to the right. This is 6 times.
Thus, we get our answer.5.679 × 106
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Most Upvoted Answer
What is the result when 5,678,732 is rounded to the nearest thousand a...

Rounding to the Nearest Thousand:

To round 5,678,732 to the nearest thousand, we look at the hundreds place, which is 8. Since 8 is greater than or equal to 5, we round up the thousands place. Therefore, 5,678,732 rounded to the nearest thousand is 5,679,000.

Expressing in Scientific Notation:

In scientific notation, we represent a number as the product of a number between 1 and 10 and a power of 10. To convert 5,679,000 to scientific notation, we move the decimal point to the left until we have a number between 1 and 10. We move the decimal point 6 places to the left to get 5.679.
Since we moved the decimal point 6 places to the left, we need to multiply by 10^6 to account for this shift.
Therefore, 5,679,000 in scientific notation is 5.679 x 10^6.

Therefore, when 5,678,732 is rounded to the nearest thousand and then put in scientific notation, the result is 5.679 x 10^6.
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What is the result when 5,678,732 is rounded to the nearest thousand and then put in scientific notation?a)5.679 × 10−6b)5.678 × 106c)5.679 × 103d)5.679 × 106Correct answer is option 'D'. Can you explain this answer?
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