MULTIPLICATION  WHOLE NUMBERS
(5TH GRADE STANDARDS OF LEARNING)
5.3  The student will create and solve problems involving multiplication of whole numbers.
Multiply by a Single Digit Number
Multiplication is a short cut for addition. For example when you multiply 284 x 7, this is equivalent to adding 284 seven times, or adding 7 two hundred and eight four times.
Step 1: Suppose that we want to multiply 768 x 7. Begin by writing the problem so that the ones line up vertically. One number should be written above the other. 

Step 2: Multiply the ones together. 7 x 8 = 56. This is equivalent to 5 tens and 6 ones. Place the 6 below the ones, and the 5 tens above the tens column. 

Step 3: Multiply 7 x 6, then add 5. 7 x 6 + 5 = 47. Write the 7 tens in the tens column and place the 4 hundreds above the hundreds column. 

Step 4: Multiply 7 x 7 then add 4. 7 x 7 + 4 = 53. There are no more digits in the top number so place the 3 in the hundreds column and the 5 in the thousands column. 

Step 5: The final answer is 5376. 
Multiplication by More Than One Digit Number
Step 1: Suppose we want to find 925 x 48. Line up the numbers vertically as shown to the right. Notice that the ones are lined up, and the tens are lined up.  
Step 2: Multiply 8 x 5 = 40. The 0 is the number of ones, while the 4 is the number of tens. Place the 0 below the ones and the 4 above the tens.  
Step 3: Multiply 8 x 2 and add 4. 8 x 2 + 4 = 20. The 0 is the number of tens and the 2 is the number of hundreds. Place the 0 below the tens and the 2 above the hundreds.  
Step 4: Multiply 8 x 9 and add 2. 8 x 9 + 2 = 74. the 4 is the number of hundreds and the 7 is the number of thousands. Since there are no more digits in the top number place the 4 and the 7 in the hundreds and thousands columns, respectively.  
Step 5: In the previous step we multiplied 925 x 8. Now we are going to multiply 925 x 4. The 4 here represents 40, that is we are multiplying 925 x 40. The difference between 95 x 4 and 95 x 40 is that 95 x 40 is ten times as large as 95 x 4. For this reason we place a 0 in the ones column.  
Step 6: Multiply 4 x 5 = 20. The 0 is the number of tens and the 2 is the number of hundreds. Place the 0 in the tens column in the second row below the problem, and the 2 above the 2 in the tens columns.  
Step 7: Finish the multiplication using the same methods as before, multiplying and carrying.  
Step 8: Add up the numbers in the two rows using the regular operations of addition. The final answer is: 44,400 
THE PROGRAM
Select the type of problem: Multiplication. The multiplication comes with three types. The multiplier is a single digit, two digits, or three digits.
Enter Answer: Fill in each of the yellow squares with the appropriate digit.
Check the answer: Click on the Check button to check the answer. Incorrect entries are highlighted with a red square.
New Problem: Click on the New Problem button to start another problem.
Special Notes: The arrow keys or the mouse can be used to move throughout the problem. The key E erases an entry. The key A erases all carry entries. The key C changes the cursor to and from the carry entries. The small yellow squares are for carry. The larger yellow squares are for the digits.
StudentComputer: This check box allows you to either practice a problem or to have the computer show you the answer. If you cannot seem to get the correct answer check the check box and the computer will show you the correct answer.
Times Table: You can list the times table for any whole number. Enter the number in the textbox and click on Compute.
Work the problems just as you would on paper.
Instructions for Program (Word document)
Select One, Two, or Three Digit Multiplication