Suppose you start at the origin, move along the x-axis a distance of 5 units in the positive direction, and then move downward along the z-axis a distance of 8 units. What are the coordinates of your position?

The coordinates of positions are (5, 0, -8) .

Step-by-step explanation:

The distance along with the x-axis = 5 units

The distance along with the z-axis = 8 units

Since it is given that the start point is origin then the Initially you are at: (0, 0, 0)

thus, when moving 5 units along the positive x-axis: (5, 0, 0)

and moving 8 units in the negative z-axis: (5, 0, -8)

therefore, the final coordinates are (5, 0, -8) .

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents