Question text The diameter of a hydrogen atom is about \(5\times10^{-11}\) meter. Suppose \(8.4\times10^8\) hydrogen atoms were arranged side by side in a straight line. Multiply these numbers to find the length of this line of atoms. What is the length in scientific notation?

4.2 x 10⁻⁴m

Step-by-step explanation: Scientific Notation is a method of writing a very large or very small number. It consists in any real number between 1 and 10 multiplied by any power of 10 (positive or negative).

The diameter of hydrogen is 5x10⁻¹¹m. There are 8.4x10⁸ atoms of hydrogen.

To determine the length of the line of atoms, you could add the diameter the number of atoms or multiply the diameter by the number of atoms:

L = 5x10⁻¹¹ * 8.4x10⁸

As it is multiplication, you can mutiply the numbers and then add the power of 10, since they are in the same base:

L = 42 x 10⁻³m

or moving comma to the left:

L = 4.2 x 10⁻⁴m

The length of the line of hydrogen atoms, in scientific notation is 4.2x10⁻⁴m

See attached graphic.  what you should know for this case case is what is the cut point with the y axis.   let's suppose that the original graph is:   f (x) = 5x  the graph with the applied translation is:   g (x) = 5x -3  in this case we see the cut point with the y-axis in (0, -3).  we have then  k = -3.