Grade 5 Addition and Subtraction

Step 1: Write the numbers vertically, aligning the digits by place value.

  4,56,789
+ 3,21,098
----------

Step 2: Add the digits in the ones place (9 + 8 = 17). Write down 7 and carry over 1 to the tens place.

  4,56,789
+ 3,21,098
----------
         7  (Carry 1)

Step 3: Add the digits in the tens place, including the carry-over (8 + 9 + 1 = 18). Write down 8 and carry over 1 to the hundreds place.

  4,56,789
+ 3,21,098
----------
        87  (Carry 1)

Step 4: Continue adding each place value from right to left, carrying over when the sum is 10 or more.

  4,56,789
+ 3,21,098
----------
  7,77,887

Step 5: The sum of 4,56,789 and 3,21,098 is 7,77,887.

Step 1: Write the numbers vertically, aligning the digits by place value. Place the larger number on top.

  9,87,654
- 6,54,321
----------

Step 2: Subtract the digits in the ones place (4 - 1 = 3).

  9,87,654
- 6,54,321
----------
         3

Step 3: Subtract the digits in the tens place (5 - 2 = 3).

  9,87,654
- 6,54,321
----------
        33

Step 4: Continue subtracting each place value from right to left. If the top digit is smaller than the bottom digit, borrow from the digit to the left.

  9,87,654
- 6,54,321
----------
  3,33,333

Step 5: The difference between 9,87,654 and 6,54,321 is 3,33,333.

Step 1: Identify the initial number of books: 1,50,000.

Step 2: Identify the number of books added: 75,500. Add this to the initial number: 1,50,000 + 75,500 = 2,25,500.

Step 3: Identify the number of books donated: 10,250. Subtract this from the current number of books: 2,25,500 - 10,250 = 2,15,250.

Step 4: Therefore, the library has 2,15,250 books now.