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195×68195 \times 68

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Q. 195×68195 \times 68
  1. Set up multiplication: We need to multiply 195195 by 6868. Let's set up the multiplication.\newline195×68195\times 68
  2. Multiply ones place: First, multiply 88 by 55, which is 4040. Write down 00 and carry over 44.\newline 195195\newline×68\times 68\newline-----\newline 4040 (carry over 44)
  3. Multiply tens place: Next, multiply 88 by 99, which is 7272, plus the carried over 44, equals 7676. Write down 66 and carry over 77.\newline 195195\newline×68\times 68\newline-----\newline 9900\newline 9911 (carry over 77)
  4. Add up numbers: Now, multiply 88 by 11, which is 88, plus the carried over 77, equals 1515. Write down 1515.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1515__\newline\end{array}\newline
  5. Add up numbers: Now, multiply 88 by 11, which is 88, plus the carried over 77, equals 1515. Write down 1515.\newline 195195\newline×68\times 68\newline-----\newline 6060\newline 1100\newline 1111Next, we multiply the tens place. Multiply 1122 by 1133, which is 1144. Write down 1155 and carry over 1166.\newline 195195\newline×68\times 68\newline-----\newline 6060\newline 1100\newline8822\newline 8833 (carry over 1166)
  6. Add up numbers: Now, multiply 88 by 11, which is 88, plus the carried over 77, equals 1515. Write down 1515.\newline 195195\newline×68\times 68\newline-----\newline 6060\newline 1100\newline 1111Next, we multiply the tens place. Multiply 1122 by 1133, which is 1144. Write down 1155 and carry over 1166.\newline 195195\newline×68\times 68\newline-----\newline 6060\newline 1100\newline8822\newline 8833 (carry over 1166)Then, multiply 1122 by 8866, which is 8877, plus the carried over 1166, equals 8899. Write down 77 and carry over 1133.\newline 195195\newline×68\times 68\newline-----\newline 6060\newline 1100\newline8822\newline 7788 (carry over 1133)
  7. Add up numbers: Now, multiply 88 by 11, which is 88, plus the carried over 77, equals 1515. Write down 1515.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000\newline\end{array}\newlineNext, we multiply the tens place. Multiply 66 by 55, which is 1100. Write down 1111 and carry over 1122.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000\newline\phantom{00}3030\_\text{(carry over 33)}\newline\end{array}\newlineThen, multiply 66 by 1166, which is 1177, plus the carried over 1122, equals 1199. Write down 77 and carry over 55.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000\newline\phantom{00}570570\ \text{(carry over 55)}\newline\end{array}\newlineFinally, multiply 66 by 11, which is 66, plus the carried over 55, equals 8888. Write down 8888.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000\newline1170011700\newline\end{array}\newline
  8. Add up numbers: Now, multiply 88 by 11, which is 88, plus the carried over 77, equals 1515. Write down 1515.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000\newline\end{array}\newlineNext, we multiply the tens place. Multiply 66 by 55, which is 1100. Write down 1111 and carry over 1122.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000 (\newline\)\phantom{00}3030\_\text{(carry over 33)}\newline\end{array}\newlineThen, multiply 66 by 1166, which is 1177, plus the carried over 1122, equals 1199. Write down 77 and carry over 55.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000 (\newline\)\phantom{00}570570\text{ (carry over 55)}\newline\end{array}\newlineFinally, multiply 66 by 11, which is 66, plus the carried over 55, equals 8888. Write down 8888.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000 (\newline\)1170011700\newline\end{array}\newlineNow, add up the numbers we got from the multiplication.\newline\newline\begin{array}{r}\newline\phantom{00}195195 (\newline\)\times\phantom{00}6868 (\newline\)\hline\newline\phantom{0000}6060 (\newline\)\phantom{00}760760 (\newline\)1500015000 (\newline\)1170011700 (\newline\)\hline\newline1326013260\newline\end{array}\newline

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