Question

use scientific notation to determine which of these numbers is greater: 34,835,760 or 43,835,760. write your answer in scientifc notation, expressed to the exact decimal place

Answer 1

To compare the numbers 34,835,760 and 43,835,760 using scientific notation, we can convert both numbers into scientific notation.

1. For 34,835,760:
\[
34,835,760 = 3.4835760 \times 10^7
\]

2. For 43,835,760:
\[
43,835,760 = 4.3835760 \times 10^7
\]

Now, we can compare the two numbers directly in their scientific notation forms. Since both numbers are multiplied by \(10^7\), we need to compare the coefficients:

- \(3.4835760\) (for \(34,835,760\))
- \(4.3835760\) (for \(43,835,760\))

Since \(4.3835760 > 3.4835760\), we determine that:

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

Thus, in scientific notation, \(43,835,760\) is greater and can be expressed as:
\[
\boxed{4.3835760 \times 10^7}
\]