Multiplying Thousandths by Hundredths
Multiply Thousandths by Hundredths: Learn
How to multiply a three digit decimal by a one digit decimal number (for example 0.529 * 0.67):

Place one decimal above the other so that they are lined up on the right side.
Draw a line under the bottom number and multiply like any whole numbers.
We will concern ourselves with the decimals at the very end.
0 . 5 2 9 * 0 . 6 7 
Multiply the two numbers on the right side. (9 * 7 = 63).
This number is larger than 10 so place a six above the
next column and place three below the line in the right column.
6 0 . 5 2 9 * 0 . 6 7 3 
Multiply the digit in the top center column (2) by the digit in the lower
right column (7). The answer (2*7=14) is added to the 6 above the center
column to give an answer of 20. The 0 of 20 is placed below the line and
the 2 of the 20 is placed above the 5.
2 6 0 . 5 2 9 * 0 . 6 7 0 3 
The five of the top number is multiplied by the seven of the
multiplier (5*7=35). The two that was previously carried is
added and 37 is placed below the line.
2 6 0 . 5 2 9 * 0 . 6 7 3 7 0 3 
After 529 has been multiplied by 7 as shown above, 529 is multiplied by
the 6 of the multiplier. The number is moved one place to the left. The
result would be 3174:
1 5 0 . 5 2 9 * 0 . 6 7 3 7 0 3 3 1 7 4 
A line is drawn under the lower product (3174) and the products are
added together to get the sum of 35443.
0 . 5 2 9 * 0 . 6 7 3 7 0 3 + 3 1 7 4 3 5 4 4 3  At the start we disregarded the decimal places. We must now count up the decimal places and move the decimal place to its proper location. We have three decimal places in 0.529 and two in the decimal 0.67 so we move the decimal five places to the left to give the final answer of 0.35443.
Multiply Decimals: Practice
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