Multiplication of Decimals

Multiplying Thousandths by Thousandths

Multiplying two three digit decimals is very similar to the previous procedures. The following explanation will not go step by step but will only show the work that would be done.

• Place one decimal above the other so that they are lined up on the right side. Draw a line under the bottom number. Temporarily disregard the decimal points and multiply the numbers like you would multiply a three digit number by a three digit number.

   0.529
   0.467
    3703
   3174
  2116   
0.247043

• At the start we disregarded the decimal points. In the answer we counted up the decimal places and moved the decimal place to its proper location. We have three decimal places in both numbers so we move the decimal six places to the left to give the final answer of 0.247043.