use scientific notation to determine which of these numbers have the greatest value: 654, 987, 034; 645, 897, 430; or 546, 789, 340. write your answer in scientific notation, expressed to the exact decimal place.

Answer 1

To compare the numbers \(654, 987, 034\), \(645, 897, 430\), and \(546, 789, 340\) using scientific notation, we'll first express each number in scientific notation.

1. For \(654, 987, 034\): \[ 654,987,034 = 6.54987034 \times 10^8 \]

2. For \(645, 897, 430\): \[ 645,897,430 = 6.45897430 \times 10^8 \]

3. For \(546, 789, 340\): \[ 546,789,340 = 5.46789340 \times 10^8 \]

Now we can compare the values in scientific notation:

• \(6.54987034 \times 10^8\)
• \(6.45897430 \times 10^8\)
• \(5.46789340 \times 10^8\)

The greatest value among them is \(6.54987034 \times 10^8\) from the number \(654,987,034\).

Thus, the answer in scientific notation is:

\[ \boxed{6.54987034 \times 10^8} \]