How do I use an array to find partial products for 4x36?
http://wiki.answers.com/Q/Explain_how_you_can_use_an_array_to_find_partial_products_for_4_x_36
divide the rectangle by tens and ones for each factor.then complete the calculation.
Use an array 4x36
To use an array to find partial products for multiplying 4x36, you can follow these steps:
Step 1: Create a two-dimensional array with 4 rows and 2 columns. Each cell in the array will represent a partial product.
Step 2: Write the number 4 in the leftmost column of the first row.
Step 3: Write the number 3 in the rightmost column of the second row.
Step 4: Multiply the number in the first row with the number in the second row and write the result in the first cell of the third row.
Step 5: Write a "0" in the second cell of the third row.
Step 6: Add the number in the third cell of the third row with the number in the first cell of the second row and write the sum in the second cell of the second row.
Step 7: Repeat steps 4-6 for each row, with the number in the leftmost column starting from the second row and increasing by a factor of 10 for each subsequent row.
Step 8: Add up all the numbers in the second column of the array to get the final result of 4x36.
Here's an example:
| [R1] | [R2] |
------|-------|------|
[C1] | 4 | |
------|-------|------|
[C2] | | 3 |
------|-------|------|
[C3] | 1 | 2 |
------|-------|------|
In this example, the first row represents the number 4, the second row represents the number 36, and the third row represents the partial products. By adding up the numbers in the second column of the third row, you get the final result of 144, which is 4x36.
Using an array to find partial products makes it easier to visualize the multiplication process and helps ensure that no partial products are missed.