Which statement is a correct description comparing these two numbers?

Question

4.23×10(−5)
and 4.23×10(5)

(1 point)
Responses

One of the numbers in standard form is positive and the other number in standard form is negative.
One of the numbers in standard form is positive and the other number in standard form is negative.

One of the numbers in standard form is large (>1) and the other number in standard form is small (<1).
One of the numbers in standard form is large (>1) and the other number in standard form is small (<1).

One of the numbers in standard form has 5 zeros, while the other number in standard form has 3 zeros.
One of the numbers in standard form has 5 zeros, while the other number in standard form has 3 zeros.

Both numbers are the same. There are no differences.

Answer 1

To compare the two numbers, we have:

1. \(4.23 \times 10^{-5}\)
2. \(4.23 \times 10^{5}\)

Let's analyze these:

• The number \(4.23 \times 10^{-5}\) is a small number, specifically \(0.0000423\).
• The number \(4.23 \times 10^{5}\) is a large number, specifically \(423000\).

Based on this analysis, the correct statement comparing the two numbers is:

One of the numbers in standard form is large (>1) and the other number in standard form is small (<1).