To solve the addition problem 35,87,982 + 4,75,953, we follow these steps:
Align the Numbers : Write the numbers so that the digits are vertically aligned according to their place value. Remember that the rightmost digit is in the 'ones' place, moving left to 'tens', 'hundreds', etc.
[ \begin{array}{c} \phantom{0,0,0}3,587,982 \ +\phantom{0}475,953 \ \hline
\end{array} ]
Addition Column by Column : Start adding from the rightmost column (ones).
Ones place : 2 + 3 = 5
Tens place : 8 + 5 = 13 , write down 3 and carry over 1 to the hundreds place.
Hundreds place : 9 + 9 = 18 plus the 1 we carried over, so 18 + 1 = 19 , write down 9 and carry over 1 to the thousands place.
Thousands place : 7 + 5 = 12 plus the 1 we carried over, so 12 + 1 = 13 , write down 3 and carry over 1.
Ten-thousands place : 8 + 7 = 15 plus the 1 we carried over, so 15 + 1 = 16 , write down 6 and carry over 1.
Lakh place : 5 + 4 = 9 plus the 1 we carried over, so 9 + 1 = 10 , write down 0 and carry over 1.
Ten-lakh place : 3 plus the 1 we carried over, so 3 + 1 = 4 .
Write the Result : Place each digit in their appropriate column.
[\begin{array}{c}
\phantom{0,0,0}3,587,982 \ +\phantom{0}475,953 \ \hline \phantom{0,0,0,0,}4,063,935 \ \end{array}]
The sum of 35,87,982 and 4,75,953 is 40,63,935.