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)

Question

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Answer 1

To express each of the given numbers in scientific notation:

1. 98,789,000:

   • This can be expressed as \( 9.8789 \times 10^7 \).

2. 987,890,000:

   • This is expressed as \( 9.8789 \times 10^8 \).

3. 89,987,000:

   • This can be expressed as \( 8.9987 \times 10^7 \).

Now, let's compare these numbers:

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

To find the least value, we can compare the numbers based on their powers of ten first:

• \( 9.8789 \times 10^8 \) has the highest exponent and is therefore the largest.
• \( 9.8789 \times 10^7 \) and \( 8.9987 \times 10^7 \) are both multiplied by \( 10^7 \).

Now, we compare \( 9.8789 \) and \( 8.9987 \):

• \( 9.8789 > 8.9987 \)

So, between \( 9.8789 \times 10^7 \) and \( 8.9987 \times 10^7 \), the latter is smaller.

Thus, the number with the least value is:

\[ 8.9987 \times 10^7 \]