Question

Compare Very Large and Very Small Numbers Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
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)
Remaining Attempts : 3
Skip to navigation

Answer 1

To compare the numbers 654,987,034; 645,897,430; and 546,789,340 using scientific notation, we'll convert them to that format.

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

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

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

Now, we compare the coefficients (the numbers in front of \( 10^8 \)), since they all share the same exponent.

- \( 6.54987034 \) (from 654,987,034)
- \( 6.45897430 \) (from 645,897,430)
- \( 5.46789340 \) (from 546,789,340)

Among the coefficients, \( 6.54987034 \) is the largest.

Thus, the number with the greatest value is:

**654,987,034**, which in scientific notation is:

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