SOLUTION: Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten.

Algebra ->  Algebra  -> Decimal-numbers -> SOLUTION: Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten.      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 183811: Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten.
Answer by stanbon(48551) About Me  (Show Source):
You can put this solution on YOUR website!
Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten.
--------------
Numbers in the decimal system are a sum of multiples of powers of ten.
The digit to the left of a numerical digit is a multiple of the next
higher power of ten.
So multiplying a number by 10 moves each digit one position to the left.
In effect that means the decimal point moves one position to the right.
=======================================================================
Cheers,
Stan H.