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 numbers in scientific notation:

1. 98,789,000: \[ 98,789,000 = 9.8789 \times 10^7 \]

2. 987,890,000: \[ 987,890,000 = 9.8789 \times 10^8 \]

3. 89,987,000: \[ 89,987,000 = 8.9987 \times 10^7 \]

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

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

To compare which has the least value:

1. \(9.8789 \times 10^7\) and \(8.9987 \times 10^7\) are both multiplied by \(10^7\). Since \(8.9987 < 9.8789\), \(8.9987 \times 10^7\) (89,987,000) is less than \(9.8789 \times 10^7\) (98,789,000).

2. \(9.8789 \times 10^8\) (987,890,000) is larger than both \(8.9987 \times 10^7\) and \(9.8789 \times 10^7\).

Thus, the number with the least value is:

\[ \boxed{8.9987 \times 10^7} \]