Question

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:

\[
4.43835760 \times 10^8
\]