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Why not check and see
just
how close 356/
11
3
does
approximate 11?
Although
the rest 01
this
manua
l
must
be
read
,
JUSt
between
the IWO o
f
us,
you
can't
hurt
Ihe
calculator by sliding
the power
switch
to
ON
and
pressing
a lew keys,
To
check
the
appr
oxima
tion, key
in
355,
then
press
IDJiiIl
and key in the
denominator,
113,
N<m press
a
to
gel
Ihe
quo
l
ienl,
Theapproximation
is n<min the
display, Let us
now
subtract
the
Irue
value
of
11 !to
len
significant
digits) from the
appr
oximatio
n.
Press
@
and
11:1
It's closer
than
one
would
think
12.66 x
10- 7 ). To
f,nd
the
percent error,
divide
thos
difference
bv 11 and
mu
ltiplv
by
100.
(@'
1:1
'
100,
f3
),
We
n
ow know
tha
t
35
5/113 approximates
71'
to
wi
thin 8.47
millionths of
one percent, !It makes 22n look pretty 5a(U Two
final
comments:
<D
it 's easy
to
remembe
r
the
approximation
Deca
use
it
,s made by
dupic
ating
the first t hree odd
numbers
and
insert,ng a
div'sion
si!1l in the middle:
113}355;
®
you have just evaluated the expression
1355/1 13
-
7l'l
X
1100/71').
Congratulationsl
By the way,
switch
the
calculator off a
nd
put
,t iNlay,
(You are
nOt
supposed
10 know how to work il
, , .
vet).
iii
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