How Do You Arrange Decimals?

What decimals would you like to arrange? What does it mean to "arrange" a decimal?

In our numbering scheme, the value associated with a digit depends on its place in the number. This is called "place value." It depends on how far the digit is from the decimal point. The place value gets larger as you get farther to the left of the decimal point, and smaller as you go farther to the right.

In money terms,
$100.00 represents one hundred dollars
$10.00 represents ten dollars, 1/10 of 100 dollars
  $1.00 represents one dollar, 1/10 of 10 dollars
  $0.10 represents ten cents, 1/10 of 1 dollar
  $0.01 represents one cent, 1/10 of .1 dollars or 1/100 of 1 dollar

As straight numbers, not money, the same relationships apply. The number .001 would have 1/10 the value of .01, and so on. Something like .023 could be considered as 2/100 + 3/1000, or, equivalently, 23/1000.