Get The Best Grades With the Least Amount of Effort : Subtraction Problems

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Solve one of the the Subtraction Problems given below.

Subtract 1987 from 5673.

Solution : The vertical presentation of the problem is shown below.

5673
1987
----
----

The vertical presentation of the solution to the problem is shown below.

5^{4}6^{15}7^{16}3^{13}
1987
-------
3686
-------

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 7 from 3. But 7 is bigger than 3.

So, we have to borrow one (one10) from the digit in tens' place i.e. 7.

Because of this borrowing, 3 in units' place becomes 13 and 7 in tens' place becomes 6.
Now subtract 7 from 13 which
gives 6 in the units' place.

Now, we have to subtract bottom
digit in the tens' place from the
new upper digit in the tens' place.

i.e. we have to subtract 8 from 6.
But 8 is bigger than 6.

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

Because of this borrowing,
6 in tens' place becomes 16,
and 6 in hundreds' place becomes 5.

Now subtract 8 from 16 which
gives 8 in the tens' place.

Now, we have to subtract bottom
digit in the hundreds' place
from the new upper digit in
the hundreds' place.

i.e. we have to subtract 9 from 5.
But 9 is bigger than 5.

So, we have to borrow one (one10)
from the digit in thousands' place i.e. 5.

Again recall that,

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.

Here the borrowing is applied from
Thousands' place to the Hundreds' place.

Because of this borrowing, 5 in
hundreds' place becomes 15 and 5
in thousands' place becomes 4.

Now subtract 9 from 15 which
gives 6 in the hundreds' place.

Now subtract 1 from 4 which
gives 3 in the thousands' place.

So the answer is 3686.

This process is shown in the
vertical presentation above.

See 3 in the units' place
is sriked off to become 13,

and 7 in the tens' place
is sriked off to become 16,

6 in the hundreds' place
is sriked off to become 15,

5 in the thousands' place
is sriked off to become 4.

Thus 5673 - 1987 = 3686. Ans.

Check :
You may add 3686 and 1987 and check
whether it is equal to 5673 or not.

3686
1987
_{1}_{1}_{1}
----
5673
----

It is verified to be correct.

Learning/Teaching Math Can Be Fun : Subtraction Problems

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Exercise on Subtraction Problems

Subtraction Problems :

Subtract the second number from the first. Also, check your answer by doing the appropriate addition.

3296, 1254

8785, 5897

7012, 623

2314, 98

6300, 7

1101, 865

3034, 1657

1107, 99

6733, 4

8000, 1111

For Answers, see at the end of the page.

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