Trombone Issue 10

8/2/2019 Trombone Issue 10

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Issue 10: Mutton dressed as lamb

Welcome to issue number 10 of The Team XIV Trombone. Our sister publication has

had a facelift I see: a new underlined header. Wow, now thats progress. It is a step in

the right direction I suppose. Personally I think the picture of the bugle needs a little

work. So we at The Bone have re-imagined The Bugles bugle and whats more,

from the comfort of our legends, have not even asked for payment for the work. We at

the Bone are indeed selfless. Bugle, here is your NEW logo.

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Dont use your phone at work unless youre a manager who is allowed

Hope you enjoyed Easter. We at The Bone are a bit confused about Easter. Looking at

all the adverts and Eastery things weve come to the conclusion that Easter celebrates

Jesus being born out of an egg. Either that or weve got it completely wrong

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There. Its official. If Einstein says it, it must be true.

Fancy a bit of maths fun?

We at The Bone heart maths and maths hearts us.

Read this next article more than once if necessary; use a pen if you want. Then read it

again if need be. Once it clicks, youll have learnt something new. Whats more youll

be a genius and have only The Team XIV Trombone to thank.

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It's fairly easy to multiply two numbers that are close to the same multiple of 10.

The algorithm for doing it is called Nikhilam Navatascaramam Dasata. It is part of a

system of algorithms and mnemonics to remember them, collectively known as Vedic

Math that was developed by Jagadguru Swami Bharati Krishna Tirthaji Maharaj in the

early 20th century.

The easiest way to explain the algorithm is to give examples, and explain the algorithm

along the way.

7x 8

First find a suitable base. Since 7 and 8 are both close to 10, we'll use 10. Write the

difference between the numbers to be muliplied, and the base, off to the right:

base 10

7 | -3x 8 | -2

Multiply the differences. -3 x -2 = 6. We need as many total digits as we have zeros in

our base (1); if we didn't have enough, we would need to pad with leading zeroes, but

that's not a problem because we have one digit and that's all we need. Write it on the

right side of the answer:

base 10

7 | -3x 8 | -2

________

| 6

Now add the difference between the one number to be multiplied and 10, to the other

number to be multiplied. Pick either combination, because you will get the same result

8 + ( 3) = 5 OR 7 + ( 2) = 5

Put the result on the left side of the answer:

base 10

7 | -3x 8 | -2

________

5 | 6

7 x 8 = 56

Now let's try it with significantly bigger numbers, to see why this is such an advantage.

98

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x 89____

Since both numbers are close to 100, we will use 100 as our base. Write the difference

between the numbers to be multiplied, and the base, off to the right. Because 100 has

two zeroes, we need two digits on the right hand side.

base 100

98 (-2)

x 89 (-11)___________

87 | 22

98 x 89 = 8722

The 87 comes from either 89 + (-2), or 98 + (-11). The 22 comes from (-2) x (-11). You

can do this problem in your head. Let's try another one, to show when you need to padthe right side with leading zeroes:

base 100

98 (-2)

x 97 (-3)___________

95 | 06

98 x 97 = 9506

The 95 comes from either 97 + (-2) or 98 + (-3). The 06 comes from (-2) x (-3). Weneed to pad it with a zero, because the base is 100 so we need two digits on the right-

hand side.

Let's try an example where the numbers to be multiplied are a little bigger than a

multiple of 10:

base 100

105 (+5)x102 (+2)

___________

107 | 10

105 x 102 = 10710

The 107 comes from either 102 + 5 or 105 + 2. The 10 comes from 5 x 2 (the product of

the differences on the right).

Let's try another example where the numbers to be multiplied are on either side of amultiple of 10:

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104 (+4)x 98 (-2)

__________102 | -08

Uh oh, we have a negative on the right! Add it to the left hand side:

10200 + (-08) = 10192

104 x 98 = 10192

Let's try bigger numbers.

Base 1000

995 (-5)x998 (-2)

__________

993 | 010

993 = 995 + (-2) OR 993 = 998 + (-5). 010 comes from (-5) x (-2) = 10, then padded

with one leading zero because we need 3 digits because our base is 1000.

The method also works with multiples of powers of 10:

base 20 = 2 x 10

18 (-2)

x17 (-3)_________

15 | 6 (not done yet!)

because we had to multiply 10 by 2 to get to the base, we need to multiply the LEFT

SIDE ONLY of the answer by 2

base 20 = 2 x 10

18 (-2)x17 (-3)

_________30 | 6

18 x 17 = 306

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Ok, so before we part once more, The Bone would like to ask you, dear reader a

favour. We at The Bone taught you something wonderful today that maths is easy.

So to return the favour please explain what the f*** this means

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Thank you, and goodnight.

(Use Outlook)