Find the Exact Value 25*25

Multiply ${\displaystyle 5}$ by ${\displaystyle 5}$. Place the ones digit ${\displaystyle \left(5\right)}$ in the result line and carry the tens digit ${\displaystyle \left(2\right)}$. There is one result line for each digit in ${\displaystyle 25}$.

Multiply ${\displaystyle 5}$ by ${\displaystyle 2}$ and add the carried ${\displaystyle 2}$. Place the ones digit ${\displaystyle \left(2\right)}$ in the result line and carry the tens digit ${\displaystyle \left(1\right)}$. There is one result line for each digit in the ${\displaystyle 25}$.

Multiply ${\displaystyle 2}$ by ${\displaystyle 5}$. Place the ones digit ${\displaystyle \left(0\right)}$ in the result line and carry the tens digit ${\displaystyle \left(1\right)}$. There is one result line for each digit in ${\displaystyle 25}$.

Multiply ${\displaystyle 2}$ by ${\displaystyle 2}$ and add the carried ${\displaystyle 1}$. Place the result in the next column in the result line. There is one result line for each digit in ${\displaystyle 25}$.

Add the numbers in each column. In this case, add ${\displaystyle 5+0}$, then place the ${\displaystyle 5}$ in the result line.

Add the numbers in each column. In this case, add ${\displaystyle 2+0}$, then place the ${\displaystyle 2}$ in the result line.

Add the numbers in each column. In this case, add ${\displaystyle 1+5}$, then place the ${\displaystyle 6}$ in the result line.