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.

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.

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

Here is a collection of proven tips, tools and techniques to turn you into a super-achiever - even if you've never thought of yourself as a "gifted" student.

The secrets will help you absorb, digest and remember large chunks of information quickly and easily so you get the best grades with the least amount of effort.

If you apply what you read from the above collection, you can achieve best grades without giving up your fun, such as TV, surfing the net, playing video games or going out with friends!

Are you spending lot of money for math tutors to your child and still not satisfied with his/her grades ?

Do you feel that more time from the tutor and more personalized Math Help to identify and fix the problems faced by your child will help ?

Here is a fool proof solution I strongly recommend and that too With a minuscule fraction of the amount you spent on tutors with unconditional 100% money back Guarantee, if you are not satisfied.

It is like having an unlimited time from an excellent Tutor.

It is an Internet-based math tutoring software program that identifies exactly where your child needs help and then creates a personal instruction plan tailored to your child’s specific needs.

If your child can use a computer and access the Internet, he or she can use the program. And your child can access the program anytime from any computer with Internet access.

There is an exclusive, Parent Information Page provides YOU with detailed reports of your child’s progress so you can monitor your child’s success and give them encouragement. These Reports include

Time spent using the program

Assessment results

Personalized remediation curriculum designed for your child

Details the areas of weakness where your child needs additional help

Provides the REASONS WHY your child missed a concept

List of modules accessed and amount of time spent in each module

Quiz results

Creates reports that can be printed and used to discuss issues with your child’s teachers

These reports are created and stored in a secure section of the program, available exclusively to you, the parent. The section is accessed by a password that YOU create and use. No unauthorized users can access this information.

Its research-based results have proven that it really works for all students! in improving math skills and a TWO LETTER GRADE INCREASE in math test scores!,if they invest time in using the program.

Proven for More than 10,000 U.S. public school students who increased their math scores.

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 : Multiplication Problems

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

Solve the following Multiplication Problems

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.

Progressive Learning of Math : Multiplication Problems

Recently, I have found a series of math curricula (Both Hard Copy and Digital Copy) developed by a Lady Teacher who taught everyone from Pre-K students to doctoral students and who is a Ph.D. in Mathematics Education.

This series is very different and advantageous over many of the traditional books available. These give students tools that other books do not. Other books just give practice. These teach students “tricks” and new ways to think.

These build a student’s new knowledge of concepts from their existing knowledge. These provide many pages of practice that gradually increases in difficulty and provide constant review.

These also provide teachers and parents with lessons on how to work with the child on the concepts.

The series is low to reasonably priced and include