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.

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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
--

See the small 1 in tens' place below the two numbers which is the 1 carried from the additon of the digits in units' place.

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
--

See the vertical presentation given above.Here we have to add three digits in the units' place.

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

Solve the following problems on Two digit Addition.

Perform the additions of the following numbers.

67, 24

79, 16

39, 57

45, 25

11, 88

19, 28, 37

9, 57, 25

46, 11, 19

33, 55, 11

18, 41, 32

For Answers see at the end of the page.

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