# Addition of Whole Numbers

Addition of whole numbers is discussed in the following steps how to add large numbers:

Step I:

We arrange the given numbers in columns, ones under ones, tens under tens, hundred under hundreds and so on.

Step II:

We add the digits in each column taking the carry over, if any, to the next column the left, and adding it along with the digit in that column. We continue this process till we add the digits in all the columns.

For example:

1. Add 3507469 and 6641007.

Solution:

We arrange the given numbers in column and add as follows:

Step 1: Add ones place i.e. 9 + 7 = 16 which is equal to 1 ten + 6 ones

Step 2: Carry 1 ten to the tens column as shown.

Step 3: Add tens place i.e. 6 tens + 0 tens + 1 ten which is equal to 7 tens.

Step 4: Add hundreds place i.e. 4 hundreds + 0 hundred which is equal to 4 hundreds.

Step 5: Add thousands place i.e. 7 thousands + 1 thousand which is equal to 8 thousands.

Step 6: Add ten thousands place i.e. 0 ten thousand + 4 ten thousands which is equal to 4 ten thousands.

Step 7: Add hundred thousands place i.e. 5 hundred thousands + 6 hundred thousands which is equal to 1 million + 1 hundred thousand.

Step 8: Carry 1 million to the millions column as shown.

Step 9: Add millions place i.e. 3 millions + 6 millions + 1 million which is equal to 10 millions.

Therefore, the sum of given numbers= 10148476.

2. Add 4167499; 38014 and 3604587.

Solution:

We arrange the given numbers in column and add as follows:

Step 1: Add ones place i.e. 9 + 4 + 7 = 20 which is equal to 2 tens + 0 ones

Step 2: Carry 2 tens to the tens column as shown.

Step 3: Add tens place i.e. 9 tens + 1 ten + 8 tens + 2 tens which is equal to 2 hundreds + 0 tens.

Step 4: Carry 2 hundreds to the hundreds column as shown.

Step 5: Add hundreds place i.e. 4 hundreds + 0 hundreds + 5 hundreds + 2 hundreds which is equal to 1 thousand + 1 hundred.

Step 6: Carry 1 thousand to the thousands column as shown.

Step 7: Add thousands place i.e. 7 thousands + 8 thousands + 4 thousands + 1 thousand which is equal to 2 ten thousands + 0 thousand.

Step 8: Carry 2 ten thousands to the ten thousands column as shown.

Step 9: Add ten thousands place i.e. 6 ten thousands + 3 ten thousands + 0 ten thousand + 2 ten thousands which is equal to 1 hundred thousand + 1 ten thousand.

Step 10: Carry 1 hundred thousand to the hundred thousands column as shown.

Step 11: Add hundred thousands place i.e. 1 hundred thousand + 6 hundred thousands + 1 hundred thousand which is equal to 8 hundred thousands.

Step 12: Add millions i.e. 4 millions + 3 millions which is equal to 7 millions.

Therefore, the sum of given numbers= 7810100.

Note: We can add 7-digit, 8-digit and 9-digit numbers in the same way as we added 5-digit and 6-digit numbers. While arranging the addends in columns we need to be careful.