Which statement is a correct description comparing these two numbers?

4.23×10
−5
and 4.23×10
5


(1 point)

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.

Both numbers are the same. There are no differences.

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

1 answer

The correct statement comparing the two numbers \(4.23 \times 10^{-5}\) and \(4.23 \times 10^{5}\) is:

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

Here's the reasoning:

  • \(4.23 \times 10^{-5}\) is a small number, as it is equivalent to 0.0000423, which is less than 1.
  • \(4.23 \times 10^{5}\) is a large number, as it is equivalent to 423,000, which is greater than 1.