Explain how you can use an array to find partial products for 4x36
Explain how you can use an array to find partial product for 4x36
To find partial products for 4x36 using an array, we can break down the multiplication into smaller steps and organize them in a tabular form.
First, let's construct a 2-dimensional array with 4 rows and 2 columns. Each row represents a digit in the first number (4), and each column represents a digit in the second number (36). We'll also label the rows and columns for clarity:
3 6
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4 | |
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| |
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Now, looking at the first digit of the second number (6), we multiply it with each digit of the first number (4) and write the partial products in the corresponding positions in the array.
For our example, the first digit of the second number (6) is multiplied with the digit in the ones place of the first number (4). The result is written at the intersection of the first row and second column:
3 6
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4 | 24 |
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Next, we do the same with the second digit of the second number (3) and all the digits of the first number. The result will be written at the intersection of the second row and second column:
3 6
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4 | 24 |
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| 12 |
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Finally, we sum up the values in each column of the array to obtain the partial products:
3 6
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4 | 24 |
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| 12 |
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To get the final product, we add up the partial products:
24 + 12 + 0 + 0 = 36
Therefore, the product of 4x36 is 144.