Question

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

Answer 1

can you simplify pls

Answer 2

are you sure

Answer 3

To compare the numbers 98,789,000; 987,890,000; and 89,987,000 using scientific notation, we will convert each number:

1. **98,789,000** can be written as:
\[
9.8789 \times 10^7
\]

2. **987,890,000** can be written as:
\[
9.8789 \times 10^8
\]

3. **89,987,000** can be written as:
\[
8.9987 \times 10^7
\]

Now, we can compare the scientific notations. The exponents of \(10\) in the scientific notation tell us the order of magnitude of each number.

- For \(9.8789 \times 10^7\) (98,789,000), the exponent is \(7\).
- For \(9.8789 \times 10^8\) (987,890,000), the exponent is \(8\).
- For \(8.9987 \times 10^7\) (89,987,000), the exponent is \(7\).

Next, since \(10^8\) (in 987,890,000) is greater than both \(10^7\) terms, we can conclude that \(987,890,000\) has the highest value.

Now we need to compare \(9.8789 \times 10^7\) and \(8.9987 \times 10^7\):

- The coefficients are \(9.8789\) and \(8.9987\). Since \(8.9987 < 9.8789\), we can determine that \(89,987,000\) (or \(8.9987 \times 10^7\)) is less than \(98,789,000\) (or \(9.8789 \times 10^7\)).

Thus, the number with the least value among the three is \(89,987,000\), which can be expressed in scientific notation as:

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

Answer 4

Certainly! Here’s a simplified version of the comparison:

1. **Convert each number to scientific notation:**
- **98,789,000** = \(9.8789 \times 10^7\)
- **987,890,000** = \(9.8789 \times 10^8\)
- **89,987,000** = \(8.9987 \times 10^7\)

2. **Determine the order of magnitude:**
- \(9.8789 \times 10^8\) (987,890,000) has the highest value because of the \(10^8\).
- Compare \(9.8789 \times 10^7\) (98,789,000) and \(8.9987 \times 10^7\) (89,987,000):
- \(8.9987 < 9.8789\), so \(89,987,000\) is less than \(98,789,000\).

3. **Conclusion:**
- The number with the least value is **89,987,000**, expressed in scientific notation as:

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

Answer 5

Yes, let's double-check the comparison step by step:

1. **Convert to Scientific Notation:**
- \(98,789,000\) is \(9.8789 \times 10^7\)
- \(987,890,000\) is \(9.8789 \times 10^8\)
- \(89,987,000\) is \(8.9987 \times 10^7\)

2. **Analyze the Scientific Notations:**
- **For \(9.8789 \times 10^8\)**: This is the largest because it has an exponent of \(8\).
- **Comparing \(9.8789 \times 10^7\) and \(8.9987 \times 10^7\)**:
- Both have the same exponent (\(10^7\)), so we compare the coefficients \(9.8789\) and \(8.9987\).
- Since \(8.9987 < 9.8789\), it confirms that \(89,987,000\) is less than \(98,789,000\).

### Final Conclusion:
The number with the least value is indeed **89,987,000**, which is expressed in scientific notation as:

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

Thank you for your patience, and I can confirm the analysis is correct!