The standard algorithm of multiplication is the use of partial products to calculate the products of numbers.
The product of 62865 and 17 using standard algorithm is 1068705
Given
![62865 \times 17](https://tex.z-dn.net/?f=62865%20%5Ctimes%2017)
Using the standard algorithm, the product will be rewritten as follows:
![\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccccc%7D6%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%261%267%5Cend%7Barray%7D%5Cright)
<u>Multiply 7 by 5;</u>
<em>The result is 35; write down 5; carry 3</em>
![\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7& & & & &5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccccc%7D6%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%261%267%26%20%26%20%26%20%26%20%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 7 by 6;</u>
<em>The result is 42; add 42 to the previous carry (i.e. 3)</em>
<em>The result is 45; write down 5; carry 4</em>
![\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7& & & &5 &5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccccc%7D6%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%261%267%26%20%26%20%26%20%265%20%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 7 by 8;</u>
<em>The result is 56; add 56 to the previous carry (i.e. 4)</em>
<em>The result is 60; write down 0; carry 6</em>
<em />![\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7& & &0 &5 &5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccccc%7D6%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%261%267%26%20%26%20%260%20%265%20%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 7 by 2;</u>
<em>The result is 14; add 14 to the previous carry (i.e. 6)</em>
<em>The result is 20; write down 0; carry 2</em>
<em />![\left\begin{array}{ccccc}6&2&8&6&5\\\times& & &1&7& &0 &0 &5 &5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccccc%7D6%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%261%267%26%20%260%20%260%20%265%20%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 7 by 6;</u>
<em>The result is 42; add 42 to the previous carry (i.e. 2)</em>
<em>The result is 44; write down 44; because we have reached the first digit</em>
<em />![\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bcccccc%7D%266%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%26%20%261%267%5C%5C%204%264%260%20%260%20%265%20%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 1 by 5;</u>
<em>The result is 5; write down 5</em>
![\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\&&&&5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bcccccc%7D%266%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%26%20%261%267%5C%5C%204%264%260%20%260%20%265%20%265%5C%5C%26%26%26%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 1 by 6;</u>
<em>The result is 6; write down 6</em>
![\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\&&&6&5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bcccccc%7D%266%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%26%20%261%267%5C%5C%204%264%260%20%260%20%265%20%265%5C%5C%26%26%266%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 1 by 8;</u>
<em>The result is 8; write down 8</em>
![\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\&&8&6&5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bcccccc%7D%266%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%26%20%261%267%5C%5C%204%264%260%20%260%20%265%20%265%5C%5C%26%268%266%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 1 by 2;</u>
<em>The result is 2; write down 2</em>
![\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\&2&8&6&5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bcccccc%7D%266%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%26%20%261%267%5C%5C%204%264%260%20%260%20%265%20%265%5C%5C%262%268%266%265%5Cend%7Barray%7D%5Cright)
<u>Multiply 1 by 6;</u>
<em>The result is 6; write down 6</em>
![\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\6&2&8&6&5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bcccccc%7D%266%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%26%20%261%267%5C%5C%204%264%260%20%260%20%265%20%265%5C%5C6%262%268%266%265%5Cend%7Barray%7D%5Cright)
<u>Add the calculated results;</u>
<em>i.e. 440055 and 628650</em>
So, we have:
![\left\begin{array}{cccccc}&6&2&8&6&5\\\times& & & &1&7\\ 4&4&0 &0 &5 &5\\6&2&8&6&5\\10&6&8&7&0&5\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bcccccc%7D%266%262%268%266%265%5C%5C%5Ctimes%26%20%26%20%26%20%261%267%5C%5C%204%264%260%20%260%20%265%20%265%5C%5C6%262%268%266%265%5C%5C10%266%268%267%260%265%5Cend%7Barray%7D%5Cright)
Hence:
Learn more about standard algorithm at:
brainly.com/question/11380840