Use scientific notation to determine which of these numbers has the greatest value: 654,987,034; 645,897,430;

Question

or 546,789,340. Write your answer in scientific notation, expressed to the exact decimal place. (1 point)

Answer 1

To compare the numbers 654,987,034; 645,897,430; and 546,789,340, we will convert each of them to 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 coefficients in scientific notation:

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

The number with the greatest coefficient is \(6.54987034\), which corresponds to \(654,987,034\).

Thus, the number with the greatest value is:

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