MULTIPLICATION PROBLEMS - SOLVING MADE EASY, EXAMPLES, EXERCISES
Learn/Teach
Multiplication Problems
through Fun Games
For details, see near
the bottom of this page.
Please study
Multiplication,
if you have not already done so.
There, we introduced multiplication as
repeated addition and solved a number
of examples including word problems.
Also, the need of multiplication tables
and doing multiplication with the help
of tables was introduced.
A number of solved examples on
multiplication of two digit numbers by a
single digit number were lucidly explained.
That knowledge is a prerequisite here.
Here, we extend the topic by giving
more examples. We also explain
multiplication of three or four digit
numbers with a single digit number,
by a number of solved examples.
Other Multiplication Problems
are covered in
multiplication by Two digit numbers,
Multiplying Two Digit Numbers
easily using Vedic math
multiplication by Three
or more digit numbers,
Multiplying Three Digit Numbers
easily using Vedic math
Multiplying Four Digit Numbers
easily using Vedic math
multiplication word problems.
Example 1 of
Multiplication Problems
Find 87 x 9.
Solution :
87
9
---
6
3
72
---
783
---
Thus 87 x 9 = 783.
This presentation is ok for learning
multiplication of single digit number
with two digit number.
However when multiplying a multi-digit
number with a multi-digit number,
multiplication with single-digit
number is a small part of it and we may
have to present it in a single line.
Let us present the above
example 87 x 9 in a single line.
6
87
9
---
783
---
Here, in the value of 7 x 9 (= 63 ),
3 is presented in units' place
and 6 is presented above in tens'
place in small letter.
8 x 9 gave 72 and 6 is added to it
to get 78 and this 78 is presented
to the left side of 3 to get 783.
Later we don't even write small 6 above,
as written here. We write it else where
and rub it off after adding it to 72.
87
9
--- 6
783
---
See small 6 written at a distance. It
is striked off after adding it to 72.
Let us see one more example with
this simplified presentation.
Example 2 of
Multiplication Problems
Find 96 x 4
Solution :
96
4
--- 2
384
---
Here 6 x 4 gave 24.
We write 4 in units' place
and 2 at a distance.
9 x 4 gave 36. We add 2
which is at a distance
(carried over from the result
of units' place multiplication).
This gives 38. Now, we strike
off the 2. We present this
38 before 4 to get 384.
Thus 96 x 4 = 384.
One last example in this category.
Example 3 of
Multiplication Problems
Find 79 x 8.
Solution :
79
8
--- 7
632
---
Thus 79 x 8 = 632.
Next Two Examples will be on
Multiplication of a three or four
digit number by a single digit number.
Example 4 of
Multiplication Problems
Find 786 x 9
Solution :
786
9
---- 5 7
7074
----
Here, 6 x 9 gives 54. We write 4
in units' place and 5 at a distance.
Next, 8 x 9 gives 72. We add 5 to
this 72 to make it 77. Then 5 is
striked off. We write 7 in tens'
place and 7 at a distance.
Then, 7 x 9 gives 63. We add 7 to
this 63 to get 70. Then 7 at a
distance is striked off. We write
70 to the left of 74 already present.
Thus 786 x 9 = 7074. Ans.
Example 5 of
Multiplication Problems
Find 1983 x 7
Solution :
1983
7
----- 2 5 6
13881
-----
Here, 3 x 7 gives 21. We write 1
in units' place and 2 at a distance.
Next, 8 x 7 gives 56. We add 2 to
this 56 to make it 58. Then 2 is
striked off. We write 8 in tens'
place and 5 at a distance.
Then, 9 x 7 gives 63. We add 5 to
this 63 to get 68. Then 5 is striked
off. We write 8 in hundreds' place
and 6 at a distance.
Then, 1 x 7 gives 7. We add 6 to this
7 to get 13. Then 6 is striked off. We
write 13 to the left of 881 already present.
Thus 1983 x 7 = 13881. Ans.
Learning/Teaching Math Can Be Fun
Here is a collection of kids math
games and fun math activities for
the class room or for the home, to
make math exciting and easy to learn.
They help you
* To save you time and money to be
spent on resources, games and books.
* To become a wonderful, fun teacher
or parent who knows how to make math
fun, interesting and effective.
* To cater for all different ability
levels and cater for different
learning styles.
* To see your kids math skills soar
and their grades in math going
up and up.
This Collection of Fun Math Games
are electronic books (e-books)
that are downloaded to your computer
in a flash. You can start printing
games right away. You get to print
only what you want and as many
copies as you need.
For more information or to have
some FREE samples or to order
click
HERE.
Exercise on
Multiplication Problems
Find the following
- 23 x 6
- 67 x 8
- 189 x 7
- 987 x 9
- 2367 x 4
- 254 x 3
- 9876 x 2
- 4567 x 8
- 3456 x 9
- 2345 x 5
For Answers see at the end of the page.
Answers to Exercise on
Multiplication Problems
- 138
- 536
- 1323
- 8883
- 9468
- 762
- 19752
- 36536
- 31104
- 11725
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