Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**Hostible****Member**- Registered: 2013-05-31
- Posts: 5

MULTIPLES OF 3

3 times even number

Rule

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.

herefore 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 time 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 4

MULTIPLES OF 5

5 times even number

Rules:

Write half of the even multiplier down and put 0 at the end.

Examples:

5 x 2; Half of 2 is 1. Put 0 behind the 1 to form our answer.

Hence 5 x 2 = 10.

5 x 12; Half of 12 is 6. Put 0 behind the 6 to form the correct answer.

Hence 5 x 12 = 60.

5 times odd number

Rules:

Write half of the odd multiplier down and reject the decimal point.

The number you see is your product.

Examples:

5 X 1; Half of 1 is 0.5. Reject the decimal point. Hence 5 x 1 = 5.

5 x 7; Half of 7 is 3.5. Reject the decimal point to get 35.

That is your product.

.

5 x 19; Half of 19 is 9.5. Reject the decimal point to get 95.

This is your product.

MULTIPLES OF 6

6 times even number

Rules:

a. Write half of the even multiplier down.

b. Put the same multiplier behind the number written at (a).

Examples:

6 x 2; Half of 2 is 1. Put the 2 behind the 1 to form your product. Hence 6 x 2 = 12

6 x 8; Half of 8 is 4. Put the 8 behind the 4 to get 48. This is your product.

6 x 14; Half of 14 is 7. Put the 14 behind the 7 to get 714.

Here we have entered into 3-digits. Add the first 2-digits and maintain the last digit.

That is 714 so from here we get 84 as our answer.

Note:

1. When you enter into 3 digits, add the first 2 digits and maintain the last digit.

2. When you enter into four digits, add the 2 middle digits and maintain the last digit.

If the sum of the 2 middle digits exceeds more than a single digit, write the ones

digit down and carry the tens digit to the next column at left.

6 x 22; Half of 22 is 11. Put 22 behind the 11 to get 1122.

Here we have entered into 4 -digits and therefore we add the 2

middle digits 1122 to get 132.

6 x 98; Half of 98 is 49. Put the 98 behind the 49 to get 4998.

Here the sum of the two middle digit is more than 9. Maintain the last digit.

Add the 2 middle digits, maintain the ones digit and carry the tens digit to

the next column at the left.

Hence 4998 which is 4 18 8. This becomes 588. The tens of 18 is carried to 4.

Hence our product is 588.

6 times odd number

Rules:

a. Write half of the odd multiplier down.

b. Reject the decimal point.

c. Add the multiplier to the number at (b) to form your product.

Examples:

6 x 1; Half of 1 is 0.5. Reject the decimal point to get 5.

Add the multiplier to the 5. That is 5 + 1 = 6. This is our product.

6 x 13; Half of 13 is 6.5. Reject the decimal point to get 65.

Add the multiplier to the 65. That is 65 + 13 = 78.

This is our product.

6 x 79; Half of 79 is 39.5. Reject the decimal point to get 395.

Add the multiplier to the 395. That is 395 + 79 = 474. This is our answer.

MULTIPLES OF 7

7 times even 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 24 to 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 7 x 48 = 336.

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 5 and the 2 to get 7. This is your answer.

7 x 9; Half of 9 is 4.5. 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 95 and the 38 to get 133. This is your product.

Offline

**DeanPemberton****Member**- From: USA
- Registered: Yesterday
- Posts: 9
- Website

Hostible wrote:

MULTIPLES OF 3

3 times even number

Rule

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 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.

All the rules are excellent and correctly giving the answer. But the above rule is not getting me properly I think it is wrong please give the correct rule for above.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,248

Did you try it on an example?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

Pages: **1**