TWO DIGIT ADDITION - ADDING TWO DIGIT NUMBERS MADE EASY, EXAMPLES, EXERCISE

Learn/Teach
Two Digit Addition
through Fun Games
For details, see near
the bottom of this page.

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

There, we covered the basics of addition
and a number of examples on adding
single digit numbers.

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

That knowledge is a prerequisite here.

Here, we deal with two digit numbers.

We have already seen in
decimal number sysystem
that the successor to 9 is 10.
i.e. 9 + 1 = 10.

We also saw in the decimal number
system, that the two digit numbers
range from 10 to 99.

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

Addition of single digit numbers which
give two digit number as the answer :

Example 1 :

Now I ask you what is 9 + 2 ?
What is your answer ?

If you open up two fingers,
and start counting after 9,
you get ten when one finger is closed
and eleven when the other finger is

So, 9 + 2 = 11.

By now, we know
10 has one ten and 0 ones.
and 11 has one ten and 1 one.

So, when addition of two single digits
gives more than 9, it is to be split up
into one ten and the remaining ones.

Example 2 :

Answer one more question. What is 7 + 6 ?

Open up six fingers and start counting after
7 and close one finger for each count.

You get 8, 9, 10, 11, 12, 13 successively.

By the time you get thirteen,
all the six fingers are closed.

So 7 + 6 = 13. Ans.

You know 13 has one ten and 3 ones.

Now think of adding two digit numbers.

Addition of Two Digit Numbers

Example 3 of two digit Addition :

What is 11 + 12 ?

Here, you have to add the digits
in ones' place (1 + 2) to get 3
and put it in ones' place.

Then add the digits in tens'
place (1 + 1) to get 2
and put it in tens' place.

This process is conveniently shown
by vertical presentation.

          11
          12
          --
          23
          --

Example 4 of two digit Addition :

Now, Find 18 + 19.

Here, find the addition of the
digits in ones' place ( 8 + 9 ).

Open up nine fingers and start counting
after 8 and close one finger for each count.

You get 9, 10, 11, 12, 13, 14, 15, 16, 17
successively. By the time you get seventeen,
all the nine fingers are closed.

So 8 + 9 = 17.

You know 17 has 1 ten and 7 ones.

7 is to be put in units place of the
answer and 1 in tens' place under the
tens' place digits of the numbers.

This 1 put in tens' place is to be added
to the digits in tens' place.

This process is shown in
vertical presentation below.

          18
          19
          1
          --
          37
          --

Now let us see an example in which
we add three two digit numbers.

Example 5 of two digit Addition :

Let us add 26, 38 and 19.

          26
          38
          19
          2
          --
          83
          --

Add 8 to 6 using the finger
counting method to get 14.

Then add 9 to 14 again using the
finger counting method to get 23.

Now put 2 in tens' place (see the
small 2 below the three digits in
tens' place) and 3 in the units'
place of the answer, below.

Add the digits in the tens' place
including the small 2 (which is
carried over from the addition of the
digits in the units' place), to get 8.

Put this result 8 in the tens' place of
the answer, below, to the left of 3.

Thus the Answer is 83.

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Exercise on two digit Addition

Perform the additions of
the following numbers.

1. 67, 24
2. 79, 16
3. 39, 57
4. 45, 25
5. 11, 88
6. 19, 28, 37
7. 9, 57, 25
8. 46, 11, 19
9. 33, 55, 11
10. 18, 41, 32

For Answers see at the end of the page.

Answers to Exercise

1. 91
2. 95
3. 96
4. 70
5. 99
6. 84
7. 91
8. 76
9. 99
10. 91