Use scientific notation to determine which of these numbers is greater 34, 835, 760 443, 835, 760 write your answer in scientific notation express to the exact decimal place

Answer 1

To compare the numbers \(34,835,760\) and \(443,835,760\) in scientific notation, we first convert both numbers to scientific notation.

1. For \(34,835,760\):

   • The significant figures can be represented as \(3.4835760\).
   • Count the places the decimal has moved to get to the first non-zero digit: it moves 7 places to the left.
   • Therefore, \(34,835,760\) in scientific notation is: \[ 3.4835760 \times 10^7 \]

2. For \(443,835,760\):

   • The significant figures can be represented as \(4.43835760\).
   • Count the places the decimal has moved to get to the first non-zero digit: it also moves 8 places to the left.
   • Therefore, \(443,835,760\) in scientific notation is: \[ 4.43835760 \times 10^8 \]

Now, we compare the numbers:

• \(3.4835760 \times 10^7\) is equivalent to \(34,835,760\).
• \(4.43835760 \times 10^8\) is equivalent to \(443,835,760\).

Since \(10^8\) is greater than \(10^7\), we observe that:

\[ 4.43835760 \times 10^8 > 3.4835760 \times 10^7 \]

Thus, the number \(443,835,760\) is greater than \(34,835,760\).

In conclusion, the greater number expressed in scientific notation is:

\[ 4.43835760 \times 10^8 \]