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ٱ

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ift su

bscr

iptio

n na

me

of p

re-

Wha

t In

dia

Abr

oad–

a p

remier

news

pape

r fo

r In

dian

Amer

i-ca

ns, ha

d to

say

abo

ut u

s...

W

hat

do y

ou g

et w

hen

you

mul

tipl

y 21

and

23?

We

know

the

con

vent

iona

l met

hod.

Th

e an

swer

, aft

er a

ser

ies

of m

ulti

plic

atio

ns a

nd s

umm

atio

n, is

483

. Bu

t Ve

dic

mat

hem

atic

s of

fers

a s

impl

er w

ay.

Mul

tipl

y ve

rtic

ally

on

the

righ

t (1

X3)

and

wri

te t

he r

esul

t ri

ght

unde

r it

. Re

peat

for

the

left

(2X

2).

Then

mul

tipl

y di

agon

ally

and

add

the

res

ults

for

the

mid

dle

posi

tion

(3X

2 +

2X1=

8).

This

is t

he m

etho

d ex

plai

ned

in B

alag

okul

am, i

ntro

duce

d by

pub

lishe

r H

indu

Swa

yam

seva

k Sa

ngh

as “a

Uni

que

Hin

du m

agaz

ine

for

child

ren.

” Th

e ar

ticl

e go

es o

n to

ill

ustr

ate

mor

e el

abor

ativ

e m

ulti

plic

atio

ns in

volv

ing

carr

yove

rs.

Whe

n Sm

rith

i Nam

biar

, 12,

an

avid

rea

der

of H

ighl

ight

s, a

chi

ldre

n’s m

agaz

ine

lade

n wi

th q

uizz

es, j

okes

, sci

ence

, po

etry

and

art

, cam

e ac

ross

a c

opy

of B

alag

okul

am, s

he t

ook

to it

inst

antl

y. “

I lik

e to

sol

ve p

uzzl

es a

nd r

ead

stor

ies

writ

ten

by k

ids,

” she

say

s. O

n a

rece

nt w

eeke

nd, b

etwe

en h

er p

acke

d sc

hedu

le o

f sw

imm

ing

clas

ses

and

hom

ewor

k as

sign

men

ts, s

he f

lippe

d th

roug

h th

e pa

ges.

Whi

le s

he f

ound

the

cro

sswo

rd a

tad

dif

ficu

lt –

som

e cl

ues

requ

ired

a

good

kno

wled

ge o

f In

dian

myt

holo

gy –

Sm

rith

i had

fun

doi

ng c

ross

sum

s an

d sp

otti

ng d

iffe

renc

es in

pic

ture

s.

An

arti

cle

on t

he f

reed

om f

ight

er L

okm

anya

Bal

Gan

gadh

ar T

ilak

gave

her

an

insi

ght

into

Ind

ia’s

Inde

pend

ence

st

rugg

le.

“It

was

the

firs

t ti

me

I le

arne

d ab

out

him

,” sh

e sa

ys.

“I d

on’t

thin

k ki

ds g

rowi

ng u

p he

re w

ill [o

ther

wise

] kn

ow a

bout

Ind

ia’s

free

dom

str

uggl

e,” f

eels

Lak

shm

i Ram

an, a

you

ng p

aren

t wh

o m

igra

ted

to t

he U

nite

d St

ates

ab

out

a ye

ar a

go, a

lludi

ng t

o th

e ar

ticl

e on

Tila

k.

The

mag

azin

e co

ver

high

light

s th

e re

cent

fes

tive

sea

son

in I

ndia

and

bea

rs m

ulti

ple

draw

ings

by

child

ren.

The

re is

Go

ddes

s La

kshm

i wit

h Ka

ndee

l (la

nter

ns) i

n th

e ba

ckgr

ound

, dan

diya

ent

husi

asts

str

ike

a po

se, a

nd a

n ef

figy

of

Ra-

van

is r

eady

for

imm

olat

ion.

Ba

lago

kula

m w

as v

isua

lized

as

a m

agaz

ine

by c

hild

ren

for

the

child

ren

with

a f

air

spri

nklin

g of

art

icle

s by

adu

lts,

Ed

itor

-in-c

hief

Jyo

ti Y

elga

lawa

di s

aid

over

the

pho

ne f

rom

San

Jos

e, C

alif

orni

a. “

Sixt

y pe

rcen

t of

the

wri

ters

are

ch

ildre

n,” s

he s

aid.

BA

LAG

OK

ULA

M IN

TH

E P

RE

SS

Bal

ago

ku

lam

A U

niqu

e H

indu

Mag

azin

e Fo

r C

hild

ren

SUB

SCR

IBE

FO

R O

NLY

$1

1

RE

GU

LAR

FE

AT

UR

ES

♦La

ngua

ges

Of

India

♦Sc

ienc

e Ex

perimen

ts a

nd

Fact

s ♦

Our

Childre

n in t

he n

ews

& th

eir

achiev

emen

ts

♦Cr

ossw

ord,

sum

s &

Quiz

♦Ve

dic

Mat

h ♦

Holy

Land

—A t

rave

logu

e ♦

Balago

kulam E

vent

s ♦

Ask

Bha

rat

Unc

le

♦Co

lor

Me

& Tr

y a

Craf

t ♦

Hea

lth

Corn

er

♦Yo

ur O

wn P

oems

and

Art

-wo

rk

Onc

e up

on a

tim

e th

ere

was

a yo

ung

man

nam

ed K

ashi

who

liv

ed in

a s

mal

l tow

n. T

he t

own

was

in t

he t

ropi

cs a

nd f

ruit

s lik

e gu

avas

, pap

ayas

, and

man

gos

grew

apl

enty

. He

love

d m

ango

es,

and

ever

y ye

ar e

ager

ly w

aite

d fo

r th

e m

ango

sea

son.

The

m

ango

sea

son

brou

ght

with

it u

nbea

rabl

e he

at, a

nd m

any

flie

s,

and

thes

e he

did

not

like

! He

was

able

to

get

rid

of m

ost

of t

he

flie

s by

bai

ting

the

m w

ith

pois

on a

nd k

eepi

ng a

ll th

e ve

ssel

s cl

osed

. He

woul

d th

row

away

the

ski

ns a

nd t

he s

eeds

of

the

man

go c

aref

ully

, thi

s wa

y no

sti

cky

frui

t wa

s th

ere

to a

ttra

ct

the

flie

s.

But

he c

ould

not

do

away

wit

h th

e he

at! F

ans

and

cool

ing

aids

pro

vide

d lit

tle

help

as

he

coul

dn't

sta

y in

door

s al

l day

!

T

o ge

t aw

ay f

rom

the

hea

t an

d th

e ra

in, h

e ca

me

up w

ith

a pl

an. T

he n

ext

sum

mer

, he

went

to

a to

wn in

the

nor

ther

n pa

rt

of t

he c

ount

ry, w

here

it w

as c

ool a

nd p

leas

ant.

He

sett

led

into

a n

ice

littl

e ho

use

and

un-

pack

ed a

ll th

at h

e wo

uld

need

for

his

fou

r-m

onth

long

sta

y.

So w

hat

do y

ou t

hink

hap

pene

d ne

xt, did

Kash

i ge

t man

goes

and

enj

oy t

he s

ummer

? W

ant

to k

now

how

the

stor

y en

ded…

. Co

me

get

the

mag

azine

and

know

how

it

ende

d.

Tech

niqu

e To

Com

pute

a F

ract

ion

Ekad

hike

na P

urve

na

SUM

ME

RTI

ME

MA

NG

OE

S

Let

us s

ay w

e wa

nt t

o co

mpu

te t

he f

rac-

tion

1/1

9 us

ing

the

abov

e su

tra

(or

prin

ci-

ple)

. Th

ere

are

two

ways

to

do t

his.

By

Mul

tipl

icat

ions

, By

div

isio

ns.

In t

his

edit

ion,

we

will

lear

n th

e fi

rst

met

hod.

M

etho

d 1:

Usi

ng M

ulti

plic

atio

ns

1/19

, si

nce

19 i

s no

t di

visi

ble

by 2

or

5,

the

frac

tion

al r

esul

t is

a p

urel

y ci

rcul

atin

g or

rec

urri

ng d

ecim

al. A

rec

urri

ng d

ecim

al

is o

ne w

ith

a se

quen

ce o

f di

gits

tha

t re

-pe

ats

itse

lf i

ndef

init

ely.

(If

the

den

omi-

nato

r co

ntai

ns o

nly

fact

ors

2 an

d 5

is a

pu

rely

non

-cir

cula

ting

dec

imal

.)

So, w

e st

art

with

the

last

dig

it 1

M

ulti

ply

this

by

"one

mor

e",

that

is,

2

(thi

s is

the

"ke

y" d

igit

fro

m E

kadh

iken

a)

21

Mul

tipl

ying

2 b

y 2,

fol

lowe

d by

mul

tipl

ying

4 by

2

421

=> 8

421

Now

, mul

tipl

ying

8 b

y 2,

six

teen

68

421

1

<= c

arry

m

ulti

plyi

ng 6

by

2 is

12

plus

1 c

arry

giv

es

13

3684

21

1

<= c

arry

Co

ntin

uing

7

3684

21 =

> 473

6842

1 =>

947

3684

21

1

<= c

arry

N

ow

we

have

9

digi

ts

of

the

answ

er.

Ther

e ar

e a

tota

l of

18

di

gits

(=

deno

min

ator

-num

erat

or)

in

the

recu

r-ri

ng s

eque

nce

com

pute

d by

com

plem

enti

ng

the

lowe

r ha

lf:

0526

3157

8 94

7368

421

Thus

the

res

ult .0

5263

1578

, 94

7368

421

DO

WN

1)

Foun

der

of A

rya

Sam

aj, a

gre

at s

ocia

l ref

orm

er

2) A

dis

cipl

e of

Swa

mi V

ivek

anan

d, o

rigi

nally

fro

m

Irel

and

3)

The

pro

geni

tor

of B

uddh

ism

, was

als

o kn

own

as

Sidd

hart

ha

4) S

on o

f Ja

mad

agni

& R

enuk

a, c

onsi

dere

d as

the

in

carn

atio

n of

Lor

d Vi

shnu

7)

Col

lect

ions

(of

thre

e pa

rts)

of

the

orig

inal

tea

ch-

ings

of

Budd

ha

8) T

he g

reat

cha

ste

and

fait

hful

god

ly w

omen

- t

ook

Saty

avan

as

her

husb

and

know

ing

fully

wel

l tha

t he

wo

uld

not

live

long

13

) A m

oder

n da

y sa

ge b

orn

in s

outh

ern

Indi

a -

He

stay

ed a

t A

runa

chal

am m

ount

ains

aft

er r

enou

ncin

g hi

s ho

me.

AC

RO

SS

3 ) D

evot

ed h

is e

ntir

e lif

e to

the

ser

vice

of

deni

zens

of

the

jung

les

by e

stab

lishi

ng B

hila

Sev

a-M

anda

la -

Re

al n

ame

is A

mri

t La

l Tha

kkar

5)

The

onl

y da

ught

er o

f th

e 6t

h ki

ng o

f th

e Ka

kati

ya

Dyn

asty

of

And

hra

Prad

esh

– m

arri

ed t

o th

e Ch

alu-

kya

king

Vir

abha

dra

6)

A f

amou

s ph

iloso

pher

who

pro

poun

ded

the

Dva

ita

(Dua

listi

c) s

choo

l of

Veda

nta

- bo

rn in

13t

h ce

ntur

y 9)

The

gra

nd e

pic

com

pose

d by

Krs

na D

vaip

ayan

a Vy

asa

- co

nvey

s th

e et

erna

l mes

sage

of

Dha

rma

10

) A g

reat

gra

mm

aria

n an

d lin

guis

t of

San

skri

t -

Aut

hor

of t

he b

ook

nam

ed A

stad

hyay

i 11

) Pro

poun

der

of P

anca

ratr

a, t

he b

asis

of

the

Bha-

gava

ta D

harm

a an

d of

dev

otio

n (B

hakt

i) 1

2) T

his

is o

ne o

f th

e Sa

cred

boo

ks o

f Ja

ins

Clu

es

Col

or M

e A

nnap

urna

( A

form

of D

evi)

Cro

ssw

ord

A

A

A

V

O

R

A

N

Figu

re o

ut th

e na

mes

of f

our I

ndia

n riv

ers

and

use

the

lette

rs in

the

colo

red

boxe

s to

form

ano

ther

gre

at ri

ver.

Riv

ers

Of

Ind

ia