Use scientific notation to determine which of these numbers has the least value: 98,789,000; 987,890,000; or 89,987,000. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)

Answer 1

To express the given numbers in scientific notation, we need to convert each of them:

1. 98,789,000
   This can be written as: \( 9.8789 \times 10^7 \)

2. 987,890,000
   This can be written as: \( 9.8789 \times 10^8 \)

3. 89,987,000
   This can be written as: \( 8.9987 \times 10^7 \)

Now, let's compare the numbers in scientific notation:

• \( 9.8789 \times 10^7 \)
• \( 9.8789 \times 10^8 \)
• \( 8.9987 \times 10^7 \)

Since \( 10^8 \) is greater than \( 10^7 \), we can see that \( 9.8789 \times 10^8 \) is the largest.

Now we can compare the two numbers that are both written with \( 10^7 \):

• \( 9.8789 \times 10^7 \)
• \( 8.9987 \times 10^7 \)

Clearly, \( 8.9987 \times 10^7 \) is less than \( 9.8789 \times 10^7 \). Thus, the number with the least value is:

89,987,000, which in scientific notation is \( 8.9987 \times 10^7 \).