Multiply Thousandths by Hundredths: Learn

• 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.