It is difficult to think about tiny things we cannot see. Let's take something we can see and magnify it several times to see the results.

Grab a pencil, a piece of paper, and a ruler. Next draw a line one inch long.

Using our imagination and some mathematics we are going to magnify the line 100,000 times.

You can see from the use of multiplication, that we have a line that is
100,000 inches long.

How long is 100,000 inches?

First let's see how many feet 100,000 inches is by dividing 100,000 by 12 (the number of inches in a foot).

The result of our calculation shows that the line is 8,333 feet long.

To help understand just how long 8,333 feet is we can divide the total number of feet by the number of feet in a mile (5280).

Now we can see the one inch line we just drew is now over 1 1/2 miles long!

So far the length of the magnified line has been calculated. How about the width of the line? Depending on the size of the tip of your pencil, the width will vary. The line we drew was 1/36 of an inch wide.

If we divide the length of the magnified line by 36 we will know the width of the line.

All these calculations give us an idea of how large the line can get when we magnifying it 100,000 times, but it still does not give an idea of how really large the line is.

So we measured the length and width of a bright yellow Volkswagen Beetle to see how many we could place on the magnified line.

If we could line up all the bright yellow Volkswagen Beetle cars on the line end-to-end, we would need 625 of the cars to equal the length of the line.

If we could place all the bright yellow Volkswagen Beetle cars side-by-side across the width of the line, we would need 46 of the cars.

What would happen
if we magnified the
line a billion times?
Click to find out