Use scientific notation to determine which of these numbers is greater: 34,835,760 or 43,835,760. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)\

1 answer

To compare the numbers 34,835,760 and 43,835,760 using scientific notation, we first convert each number to scientific notation.

  1. For \(34,835,760\): \[ 34,835,760 = 3.4835760 \times 10^7 \] (We can keep it to 3 decimal places: \(3.4836 \times 10^7\))

  2. For \(43,835,760\): \[ 43,835,760 = 4.3835760 \times 10^7 \] (We can keep it to 3 decimal places: \(4.3836 \times 10^7\))

Now we compare the two scientific notations:

  • \(3.4836 \times 10^7\)
  • \(4.3836 \times 10^7\)

Since \(4.3836 > 3.4836\), we can conclude that:

\[ 43,835,760 > 34,835,760 \]

Therefore, the greater number in scientific notation is:

\[ \boxed{4.3836 \times 10^7} \]