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)
To convert these numbers to scientific notation, we need to express them as a number between 1 and 10 multiplied by 10 raised to the appropriate power.
1. 654,987,034 becomes 6.54987034 × 10^8
2. 645,897,430 becomes 6.45897430 × 10^8
3. 546,789,340 becomes 5.46789340 × 10^8
Now that we have the numbers in scientific notation, we can easily compare their magnitudes by first comparing the digits to the left of the decimal, and if they are the same, then the digits to the right of the decimal.
It is clear that 6.54987034 × 10^8 > 6.45897430 × 10^8 > 5.46789340 × 10^8.
Therefore, the number with the greatest value is 654,987,034, which in scientific notation is:
6.54987034 × 10^8.