Question

Compare the values of 0.000456, 0.000321, and 0.000789 in scientific notation and determine which number has the greatest value.

Answer 1

To compare the values of 0.000456, 0.000321, and 0.000789 in scientific notation, we can convert each number to scientific notation.

1. For 0.000456:
\[
0.000456 = 4.56 \times 10^{-4}
\]

2. For 0.000321:
\[
0.000321 = 3.21 \times 10^{-4}
\]

3. For 0.000789:
\[
0.000789 = 7.89 \times 10^{-4}
\]

Now, we can compare the coefficients (the numbers multiplying the powers of 10) since they all have the same exponent of \(10^{-4}\).

- \(4.56 \times 10^{-4}\)
- \(3.21 \times 10^{-4}\)
- \(7.89 \times 10^{-4}\)

Among the coefficients, \(7.89\) is the largest. Therefore, the original number with the greatest value is:

\[
0.000789
\]

In conclusion, \(0.000789\) has the greatest value.