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Subtraction through Fun Games
before Subtraction Table

For details, see near
the bottom of this page.

Please study
if you have not already done so.

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

That knowledge is a prerequisite here.

Here, we deal with two digit numbers.

Subtraction of two digit numbers

We have already seen in
decimal number system
that the successor to 9 is 10.
or the predecessor to 10 is 9.

i.e. 10 - 1 = 9.

As per the procedure given in
Subtraction of single digit numbers
this. subtracting can be described
as, open 10 fingers and close 1
finger and count the remaining
open fingers to get 9.

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.

Example 1 :

Find 15 - 2

While subtracting, subtract
units' digits ( 5 - 2 ) to
get 3 and put it in units'
place, then, descend 1 in
tens' place as there is
nothing to subtract
in tens' place.

Example 2 : To generate Subtraction Table

Now, I ask you what is 11 - 2 ?
What is your answer ?

Solution 1:
the predecessor to 11 is 10
and predecessor to 10 is 9.

So 11 - 2 = 9.

Solution 2 :
Or you can make use of fingers
of feet also to open 11 fingers
and close 2 fingers and
count the remaining open
fingers to get 9.

Solution 3 :
Or We know 11 - 2 = ---
is same as 2 + --- = 11.

Close all fingers. Start counting
after 2 (to which we are adding)
and rise one finger for every count.
By the time you reach the count to 11,
the number of fingers raised is 9.
So 9 is the answer.

This procedure is explained in
examples 4 and 5 and exercise 1B
of Addtion.
Please study it, if you
have not already done so.

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You should be able to subtract
one digit number from two digit
numbers 10 to 18

See the table given below.

11 98765432
12  9876543
13   987654
14    98765
15     9876
16      987
17       98
18        9

From the table,
18 - 9 = 9; 17 - 8 = 9; 17 - 9 = 8;
16 - 7 = 9; 16 - 8 = 8; 16 - 9 = 7 etc.

If you are able to remember or
arrive at the values given in
the table, you can do any
subtracting with the procedure,
we are going to see.

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Example 3 : using of Subtraction table

Find 63 - 39 using Subtraction table

Solution :
Write 39 below 63.



First we have to subtract bottom
digit in the units' place from
the upper digit in the units' place.

i.e. we have to subtract
9 from 3. But 9 is bigger than 3.

So, we have to borrow one (one10)
from the digit in tens' place i.e. 6.

Because of this borrowing, 3 in
units' place becomes 13 and 6 in
tens' place becomes 5.

When we borrow 1 from the immediate
left digit, that borrowing makes the
digit in the right place increase by 10.
This is so, because the immediate
left place value is 10 times the
place value of the right.

Now subtract 9 from 13 which gives 4
(See table above.) in the units' place.

In Tens' place, we have to subtract
3 from 5 to get 2.

So the answer is 24.

This process is shown in the
vertical presentation below.


See 3 in the units' place is
striked off to become 13
and 6 in the tens' place is
striked off to become 5.

13 - 9 = 4 is written in the
units' place of the answer.

5 - 3 = 2 is written in the
tens' place of the answer.

Thus, 63 - 39 = 24.Ans.

Check :
We know,
minuend - subtrahend = result.
or subtrahend + result = minuend.

We use this idea to check the
accuracy of our Subtracting.

We add subtrahend and result
and verify whether it is equal
to minuend or not.

Here, You may add 24 and 39 and check
whether it is equal to 63 or not.


It is verified to be correct.

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Example 4 : using of Subtraction table

What is 92 - 57 ? Solve using Subtraction table

Solution :


The solution is presented above.
The explanation is similar to the
one given in the previous example.

Thus, 92 - 57 = 35.

Check :
You may add 35 and 57 and check
whether it is equal to 92 or not.


It is verified to be correct.

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Exercise : using of Subtraction table

Subtract the second number from
the first. Also check your result.

  1. 84, 73
  2. 71, 16
  3. 93, 57
  4. 45, 26
  5. 91, 88
  6. 58, 39
  7. 42, 25
  8. 46, 19
  9. 33, 15
  10. 67, 29

For Answers see at the end of the page.

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Answers to Exercise : using of Subtraction table

Answers to problems on using Subtraction table:

  1. 11
  2. 55
  3. 36
  4. 19
  5. 3
  6. 19
  7. 17
  8. 27
  9. 18
  10. 38