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
--

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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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 using Subtraction table

Solution : Write 39 below 63.

63
39
--
--

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.

6^{5}3^{13}
39
--
24
--

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.

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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.

35
57
_{1}
--
92
--

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.

84, 73

71, 16

93, 57

45, 26

91, 88

58, 39

42, 25

46, 19

33, 15

67, 29

For Answers see at the end of the page.

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