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: \[ \boxed{4.3835760 \times 10^7} \]