MULTIPLES OF NUMBERS

By Innusah Samuel
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By Innusah Samuel

8/20/2011 10:48:03 AM -

Today, Mathematics has become the global tool for technological advancement. But until today, to learn mathematics it was still necessary to learn the complex multiplication through memorization process especially in Africa. One has to memorize the multiplication table in order to know the product of numbers from the basic numerals 1 to 12. SamKanDan Mathematics Community is a new mathematics institution based in Ghana.

SamKanDan Mathematics Community Innusah Samuel has designed a practical approach in teaching and learning Mathematics aimed at assisting teachers driving the best possible ways to make the lesson much simpler and friendly to the students. Mathematics which has become a "no-go-area" for many a Ghanaian child could now be studied through the simple but scientific methods in a more flexible and relaxed atmosphere without a slightest knowledge of the learner that he or she is learning something new.

With SamKanDan Mathematics Community you do not need to learn multiplication through memorization process any more. All you need to do is to study the simple basic multiplication rules and patterns. That is all.You will be able to determine products of numbers such as 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, etc.

SamKanDan Mathematics Community has designed this in order to eradicate the fear of mathematics.






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Multiples of 2

Rules:
Double the multiplier or simply add the multiplier to itself.

Example:
2 X 1; Double of 1 is 2. 2 x 1 = 2
2 x 6; Double of 6 is 12. 2 x 6 = 12
2 x 19; Double of 19 is 38.


Multiples of 3

3 times even number

Rules:

a. Write half of the multiplier and put 0 at the end.

b. Double the multiplier and subtract it from Rule (a).

Examples:

3 x 2; Half of 2 is 1. Put 0 at the end to form 10.
Take away twice the multiplier. Twice of 2 is 4.
10-4 = 6. Therefore 3 x 2 = 6.

3 x 4; Half of 4 is 2. Put 0 at the end to form 20.
Take away twice the multiplier. Twice of 4 is 8.
20-8 = 12. Therefore 3 x 4 = 20.

3 x 12; Half of 12 is 6. Put 0 at the end to form 60.
Take away twice the multiplier. Twice of 12 is 24.
60-24 = 36. Therefore 3 x 12 = 36.

3 times odd number

Rules:

a. Write half of the multiplier (odd number by 2 you get decimal)

b. Ignore the decimal point and write the number down.

c. Double the multiplier and subtract it from Rule (b).

Examples:
3 x 1; Half of 1 is 0.5. Ignore the decimal decimal point to get 5.
Double of 1 is 2. 5 - 2 = 3. Therefore 3 x 1 = 3.

3 x 7; Half of 3 is 3.5. Ignore the decimal
decimal point to form 35. Double of 7 is 14.
35 - 14 = 21.Therefore 3 x 7 = 21

3 x 19; Half of 19 is 9.5. Ignore the decimal
point to form 95. Double of 19 is 38.
95 - 38 = 57. Therefore 3 x 19 = 57.



Multiples of 4

4 times even number

Rules:

a. Write half the even number and put 0
at the end.
b. Subtract the same even number from
the answer at (a).

Examples:

4 x 2; Half of 2 is 1. Put 0 at the end to
form10. Subtract the 2 from the 10.
That is 10 - 2 = 8. Hence 4 x 2 = 8

4 x 4; Half of 4 is 2. Put 0 at the end to
form 20. Subtract the 4 from the 20.
That is 20 - 4 = 16. Hence
4 x 4 = 16.

4 x 12; Half of 12 is 6. Put 0 at the end to
form 60. Subtract the 12 from the
60. That is 60 - 12 = 48. Hence
4 x 12 = 48.

4 times odd number

Rules:

a. Write half of the odd multiplier down.

b. Reject the decimal point to get a whole
number.

c. Subtract the odd multiplier from the
answer at (b).

Examples:

4 x 1; Half of 1 is 0.5. Reject the decimal
point to get 5. Subtract the 1 from
the 5. That is 5 - 1 = 4. Hence
4 x 1 = 4.

4 x 3; Half of 3 is 1.5. Reject the decimal
point to get 15. Subtract the 3 from
the 25. That is 15 - 3 = 12. Hence
4 x 3 = 12.

4 x 13; Half of 13 1s 6.5. Reject the
decimal point to get 65. Subtract
the 13 from the 65. That is
65 - 13 = 52. Hence 4 x 13 = 52.


Multiples of 7

7 time seven number

Rules:

a. Write half of the even multiplier down.

b. Double the multiplier and put it behind the answer at (a).

Examples:

7 x 2; Half of 2 is 1. Double of 2 is 4.
Put 4 behind the 1 to get 14. This is your product.

7 x 6; Half of 6 is 3. Double of 6 is 12.
Put the 12 behind 3 to get 312. We
have entered into 3-digits and therefore we
add the first 2-digits and maintain the last digit.
That is 312. This gives 42. This is your answer.

7 x 48; Half of 48 is 24. Double of 48 is 96.
Put the 96 behind 24to get 2496.
Here we have 4-digits and therefore we
add the 2-middle digits and maintain the
last digit. 2496 This means 2 13 6.
Since the sum of the 2-middle digits is more than
9, we maintain the ones-digit and the tens- digit is
carried to the next column.

Hence we have 336.

Multiples of 7

7 times odd number

Rules:

a. Write half of the odd multiplier down.

b. Reject the decimal point.

c. Double the multiplier and add it to the number at (b).

Examples:

7 x 1; Half of 1 is 0.5. Reject the decimal point to get 5.
Double of 1 is 2. Add the 5and the 2 to get 7. This is your answer.

7 x 9; Half of 9 is4.5. Reject the decimal point to get 45.
Double of 9 is 18. Add the 45 and the 18 to get 63.
This is your answer.

7 x 19; Half of 19 is 9.5. Reject the decimal point to get 95.
Double of 19 is 38. Add the 95and the 38 to get 133.
This is your product.


Multiples of 8

8 time seven number

Rules:

a. Write half of the even multiplier down.

b. Triple the multiplier and put it behind the number at step (a).

Examples:

8 x 2; Half of 2 is 1. Triple of 2 is 6.
Put 1 and 6 together to form 16.
This is your product.

8 x 4; Half of 4 is 2. Triple of 4 is 12.
Put 2 and 12 together to form 212.
Theses are 3-digits. Add the first 2-digits
and retained the last digit. Hence 212 gives 32
as the right answer.

8 x 6; Half of 6 is 3. Triple of 6 is 18.
Put 3 and 18 together to form 318.
Add the first 2-digits and maintain the last digit.
Hence 318gives 48 as the correct product of 8 x 6.

Those who cannot increase u will inevitably decrease u.
By: Anita Owusu Boateng