# 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.

Solved Examples on Addition of Whole Numbers:

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.

Addition of numbers with more than five digits can be done in the same way as we discussed in the above examples.

We arrange the numbers one below the other in the place value columns. We start adding them one by one from the right most column and take the carry over to the next column, if required.

3. Add 44,71,214 and 31,27,510.

Solution:

TL     L     TTh     Th     H     T     O

4      4       7        1      2      1     4

+      3      1       2        7      5      1     0

7      5       9        8      7      2     4

Hence  44,71,214 + 31,27,510 = 75,98,724

4. Add 1,29,700; 50,81,298 and 10,29,19,510.

Solution:

TC     C     TL     L     TTh    Th    H     T     O

1       2       9     7      0     0

5     0       8       1     2      9     8

+      1      0       2     9       1       9     5      1     0

1      0       8      1      3       0      5      0    8

Hence  1,29,700 + 50,81,298 + 10,29,19,510 = 10,81,30,508.

Word Problems on Addition of Whole Numbers:

1. The number of people visiting the World Science Fair on first three days of the week were 1,65,892; 1,63,844 and 1,88,514. What is the total number of people visiting the fair in these three days?

Solution:

Number of people visiting on the first day       = 1,65,892

Number of people visiting on the second day   = 1,63,844

Number of people visiting on the third day       = 1,88,514

L    TTh      Th     H      T     O

1       6        5       8      9     2

1       6        3       8      4     4

+     1       8        8       5      1     4

5       1        8       2      5     0

Hence  the total number of people visited = 5,18,250

Problems on Addition of Whole Numbers:

1. Write in columns and add the given numbers.

(i) 65,772 + 47,994

(ii) 89,00,307 + 90,65,070

(iii) 1,72,338 + 3,65,419

(iv) 77,08,334 + 6,92,456 + 28,65,008

(v) 2,34,04,673 + 86,65,708

(vi) 45,19,206 + 1,62,318 + 10,00,170

(i) 1,13,766

(ii) 1,79,65,377

(iii) 5,37,757

(iv) 1,12,65,798

(v) 3,20,70,381

(vi) 56,81,694

Solve the given Word Problems on Addition of Whole Numbers:

1. David’s dream is to live in his own house. He buys a plot of land for $13,88,52,000 and spends$1,89,00,00 to build a house. What is the total amount of money spent by David to fulfill his dream?

2. According to a census, there were 2,86,45,785 females in a country. The number of males is 6,44,991 more. What is the total population of the country?