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 place.(1 point

Answer 1

can you simplify

Answer 2

To express the given numbers in scientific notation, we can rewrite each number as follows:

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, we can compare the numbers expressed in scientific notation:

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

Next, we compare the coefficients multiplied by their respective powers of ten:

- \(9.8789 \times 10^7\) (which corresponds to **98,789,000**)
- \(9.8789 \times 10^8\) (which corresponds to **987,890,000**)
- \(8.9987 \times 10^7\) (which corresponds to **89,987,000**)

To find the least value, we compare the scientific notation coefficients (taking into account their exponent):

- The first two numbers have \(10^7\) exponent, so we compare \(9.8789\) with \(8.9987\). Clearly, \(8.9987\) is less than \(9.8789\).
- The last number has a lower exponent (\(10^7\)), while \(9.8789 \times 10^8\) is much larger due to the higher exponent.

Thus, the number \(89,987,000\) has the least value.

In scientific notation, the least value is:

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