A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. Digits to the left of the decimal point have place values which are positive powers of 10 or units, while those to the right have place values which are negative powers of ten.
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The place value is ten times that of the place value to its right.
It is not a matter of aligning the decimal points, but aligning the place value columns so that the ones are under each other, the tens are under each other, the tenths are under each other, etc which is the proper way to subtract. As the decimal points are between the ones and tenths columns, with those place value columns aligned, the decimal points are aligned.Aligning the decimal points is an easy way to remember to align the place value columns, as with the decimal points aligned all the place value columns are automatically aligned.
The simplest way is to line up the numbers so that their decimal points are aligned, and corresponding digits are also aligned according to their place value.
billionths
you have to line up the decimal points because you need to keep each place value in the same column so when you add or subtract you wont make any errors