Scientific Notation Online Practice

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Question
Use scientific notation to compare these numbers: 3,478,660; 34,870,000; and 34,786,600. Which number has the greatest value?(1 point)
Responses

3.47866×107
3.47866 times 10 superscript 7 baseline

3.487×107
3.487 times 10 superscript 7 baseline

34,870,000
34,870,000

3.47866×106

1 answer

To compare the numbers 3,478,660; 34,870,000; and 34,786,600 using scientific notation, we will first convert each number to scientific notation:

  1. 3,478,660 = \(3.47866 \times 10^6\)
  2. 34,870,000 = \(3.487 \times 10^7\)
  3. 34,786,600 = \(3.47866 \times 10^7\)

Now we can compare the scientific notation:

  • \(3.47866 \times 10^6\) (this is less than both of the next two)
  • \(3.487 \times 10^7\)
  • \(3.47866 \times 10^7\)

Since both \(3.487 \times 10^7\) and \(3.47866 \times 10^7\) are multiplied by \(10^7\), we can just compare the \(3.487\) and \(3.47866\) coefficients.

Since \(3.487 > 3.47866\), we conclude that:

The greatest value is: 34,870,000 (which is \(3.487 \times 10^7\)).