Use scientific notation to determine which of these numbers has 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. (1 point)

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Answer 1

To express the numbers in scientific notation, we convert each number into the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

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 let's compare the values of \( a \):

• \( 6.54987034 \)
• \( 6.45897430 \)
• \( 5.46789340 \)

The greatest value among these is \( 6.54987034 \), which corresponds to the number \( 654,987,034 \).

Thus, the number with the greatest value in scientific notation is: \[ \boxed{6.54987034 \times 10^8} \]