SUBTRACTION MADE EASY BY SUBTRACTION TABLE, EXAMPLES, EXERCISE

Learn/Teach
Subtraction through Fun Games
before Subtraction Table
For details, see near
the bottom of this page.

Please study
Subtraction.
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

          15
           2
          -- 
          13
          --

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.

SUBTRACTION TABLE

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

See the table given below.

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.

Example 3 : using of Subtraction table

Find 63 - 39

Solution :
Write 39 below 63.

          63
          39
          --

          --

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.

          65313
          39
          --
          24
          --

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.

          24
          39
          1
          --
          63
          --

Example 4 : using of Subtraction table

What is 92 - 57 ?

Solution :

          98212
          57
          --
          35
          --

Thus, 92 - 57 = 35.

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

          35
          57
          1
          --
          92
          --

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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.

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