Ask a New Question
Menu

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 point 4 7 8 6 6 times 10 to the 7th power 3.487×107 3 point 4 8 7 times 10 to the 7th power 3.47866×106 3 point 4 7 8 6 6 times 10 to the 6th power 34,870,000

1 answer

To convert the numbers 3,478,660; 34,870,000; and 34,786,600 into scientific notation, we do the following:

  1. 3,478,660:

    • Move the decimal point 6 places to the left: \(3.47866 \times 10^6\)

  2. 34,870,000:

    • Move the decimal point 7 places to the left: \(3.487 \times 10^7\)

  3. 34,786,600:

    • Move the decimal point 7 places to the left: \(3.47866 \times 10^7\)

Now we can summarize the scientific notation of the numbers:

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

To compare the numbers, we have to look at both the coefficient and the exponent in scientific notation.

  • \(3.47866 \times 10^6\) has \(10^6\) (which means it is much smaller than numbers with \(10^7\)).
  • \(3.487 \times 10^7\) and \(3.47866 \times 10^7\) both have \(10^7\), so we compare the coefficients:
    • \(3.487\) (from \(34,870,000\)) is greater than \(3.47866\) (from \(34,786,600\)).

Therefore, the greatest number is \(34,870,000\), or \(3.487 \times 10^7\) in scientific notation.

So, the answer is: 34,870,000 has the greatest value.