ADDITION SUMS - ADDING THREE DIGIT NUMBERS MADE EASY, EXAMPLES, EXERCISE

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Please study
Two Digit Addition,
if you have not already done so.

There, we covered the process of adding two
digit numbers with examples and exercise.

There, we restricted ourselves to addition
of two digit numbers such that the
resulting number is also two digit number.

That knowledge is a prerequisite here.

Here, we deal with three digit numbers.

We have already seen in
decimal number system
that the successor to 99 is 100.

i.e. 99 + 1 = 100.

Let us present this addition in the
vertical presentation by using the
carry over method explained in
two digit addition.


          99
           1
          1
         ---
         100
         ---

Here, in the units' place,
9 and 1 added gave 10.

0 is put in the units' place of the
answer, and 1 is carried over to the
tens' place. (see the small 1 present
below the digits in the tens' place.)

Now the 9 and the small 1 added
gave 10 which is directly put in the
answer, to the left of 0 to get 100.

We also saw in the
decimal number system,
that the three digit numbers
range from 100 to 999.

Knowing these numbers in figures and
in words is a prerequisite here.

When we add three digit numbers,
this carrying over will take place,
one place further.

Let us see examples on Addition sums.





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Example 1 of Addition Sums :

Perform the addition of
the numbers 189, 237, 345.

Solution :
See the vertical presentation
of the process given below.


          189
          237
          345
           2
          1
          ---
          771
          ---

First, the digits in the units' place
are added ( 9 + 7 + 5) to get 21.

In this 21, 1 is placed in the units'
place of the answer and 2 is placed
under the digits in the tens' place.

Then, add the digits in the tens' place
including the small 2 carried over from the
units' place, (8 + 3 + 4 + 2 ) to get 17.

In this 17, 7 is placed in the tens' place
of the answer and 1 is placed under the
digits in the hundreds' place.

Then, add the digits in the hundreds' place
including the small 1 carried over from the
tens' place,(1 + 2 + 3 + 1 ) to get 7.

This 7 is placed in the hundreds'
place of the answer.

Thus the answer is 771.

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Example 2 of Addition Sums :

Perform the addition of
the numbers 678, 97, 9.

Solution :
While adding numbers of different number
of digits, we have to be careful in putting
the numbers one below the other.

All the digits of the units' place
should come one below the other.

Similarly, all the digits of the tens'
place should come one below the other.

And all the digits of the hundreds' place
should come one below the other.

See the vertical presentation
of the process given below.


          678
           97
            9
           2
          1
          ---
          784
          ---

See how the numbers 678, 97, 9 are placed one
below the other in the above presentation.

In 678, 6 is in hundreds' place, 7 is in
tens' place and 8 is in units' place.

In 97, 9 is in tens' place and
7 is in units' place.

In 9, 9 is in units' place.

All the digits of the units place
have to come one below the other.

Thus, you find 8, 7 and 9 one below the other
in the units' place in the above presentation.

Similarly, you find 7 and 9 one below the other
in the tens' place in the above presentation.

You find only 6 in the hundreds' place.

First, the digits in the units' place
are added ( 8 + 7 + 9) to get 24.

In this 24, 4 is placed in the units'
place of the answer and 2 is placed
under the digits in the tens' place.

Then, add the digits in the tens' place
including the small 2 carried over from
the units' place,(7 + 9 + 2 ) to get 18.

In this 18, 8 is placed in the tens'
place of the answer and 1 is placed
under the digits in the hundreds' place.

Then, add the digits in the hundreds'
place including the small 1 carried over
from the tens' place,(6 + 1 ) to get 7.

This 7 is placed in the hundreds'
place of the answer.

Thus the answer is 784.

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Exercise on Addition Sums

Do the following Addition Sums.

Perform the addition sums of
the following numbers.

  1. 287, 135, 398
  2. 789, 63, 7
  3. 234, 97, 25
  4. 300, 102, 245
  5. 111, 8, 12
  6. 6, 7, 934
  7. 129, 257, 25
  8. 107, 11, 19
  9. 633, 155, 119
  10. 818, 10, 32

For Answers, see at the end of the page.

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Answers to Exercise on Addition Sums

Answers to the Addition sums.

  1. 820
  2. 859
  3. 356
  4. 647
  5. 131
  6. 947
  7. 411
  8. 137
  9. 907
  10. 860

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