CALCULATION EXAMPLES
EXEMPLES DE CALCUL
ANWENDUNGSBEISPIELE
EJEMPLOS DE CÁLCULO
EXEMPLOS DE CÁLCULO
ESEMPI DI CALCOLO
REKENVOORBEELDEN
PÉLDASZÁMÍTÁSOK
PŘÍKLADY VÝPOČTŮ
RÄKNEEXEMPEL
LASKENTAESIMERKKEJÄ
UDREGNINGSEKSEMPLER
CONTOH-CONTOH PERHITUNGAN
陹ꩥ
PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA
07HGK (TINSZ1308EHZZ)
1 J
100000 ÷ 3 =
[NORM1] j 100000 z 3
= U U33'333.33333
[FIX: TAB 2] @ J 1 0 233'333.33
[SCI: SIG 2] @ J 1 1 23.3b04
[ENG: TAB 2]@ J 1 2 233.33b03
[NORM1] @ J 1 333'333.33333
3 ÷ 1000 =
[NORM1] j 3 z 1000 =
U0.003
[NORM2] @ J 1 43.b
-
03
[NORM1] @ J 1 30.003
2 U
2 3
⎯ + ⎯ =
5 4
j 2 W 5 r
+ W 3 r 4
=
3
1
20
U 23
20
U1.15
U 3
1
20
P
3 ×
P
5 =@ * 3 r k
@ * 5 =H
15
U3.872983346
P
2 ÷ 3 + P
5 ÷ 5 =@ * 2 r z 3
+ @ * 5 r
z 5 =3Q
5+5Q
2
15
U0.918618116
82 34 × 52 =8 m S 2 r
& 3 m 4 r
k 5 A =
63
-
2024
64
U 129599
-
64
U
-
2'024.984375
o8 m S 2 &
3 m 4 k 5
A =
-
2'024.984375
U
-
2024
m
63
m
64
U
-
129599
m
64
(123)1
4 =( 12 m 3
r ) m
1 W 4 =6.447419591
o( 12 m 3 )
m 1 W 4 =6.447419591
83 =8 @ 1 =512.
p
49 4p
81 =@ * 49 r & 4
@ D 81 =4.
o@ * 49 & 4
@ D 81 =4.
3p
27 =@ q 27 =3.
4! =4 @ B =24.
10P3 =10 @ e 3 =720.
5C2 =5 @ c 2 =10.
500 × 25% =500 k 25 @ a125.
120 ÷ 400 = ?% 120 z 400 @ a30.
500 + (500 × 25%) =500 + 25 @ a625.
400 (400 × 30%) =400 & 30 @ a280.
| 5 9
| =@ W 5 & 9 =4.
o@ W ( 5 & 9
) =4.
θ = sin1
x, θ = tan1
xθ = cos1
x
DEG 90 θ 90 0 θ 180
RAD π
2 θ π
20 θ π
GRAD 100 θ 100 0 θ 200
7 F G
2
8(x2 5)dxj F 2 u 8 r
; X A & 5
n = 100 =138.
n = 10 l l H 10 =138.
oj F ; X A & 5
H 2 H 8 ) =138.
l l H 10 =138.
1
1(x2 1)dx
+ 1
3(x2 1)dx =
S F S 1 u 1 r
; X A & 1 r +
F 1 u 3 r ; X A
& 1 =8.
11
6 + 4 = ANS j 6 + 4 =10.
ANS + 5 =+ 5 =15.
8 × 2 = ANS 8 k 2 =16.
ANS2 =A =256.
44 + 37 = ANS 44 + 37 =81.
ANS =@ * =9.
12 W k
1 4
3
⎯ + ⎯ =
2 3 j 3 @ k 1 d 2
r + W 4 d 3 =
5
4
6
U29
6
U4.833333333
o3 W 1 W 2
+ 4 W 3 =*
4m5m6
U29m6
U4.833333333
102
3 =@ Y 2 W 3 =4.641588834
(
7
5
)
5 =7 W 5 r m 5 =16807
3125
o7 W 5 m 5 =16807m3125
1
8
3 =@ q 1 W 8 =1
2
64
225 =@ * 64 W 225 =8
15
23
34 =2 @ 1 W 3 m 4 =8
81
o2 @ 1 W ( 3 m 4
) =8m81
1.2
2.3 =1.2 W 2.3 =12
23
1°2’3”
2 =1 [ 2 [ 3 W 2 =0(31q1.5"
1 × 103
2 × 103 =1 ` 3 W 2 ` 3 =1
2
7 A j 7 x A7.
4
A = 4 W ; A =4
7
1.25 + 2
5 =1.25 + 2 W 5 = 13
1
20
U33
20
U1.65
o1.25 + 2 W 5 =1.65
U1m13m20
U33m20
* 4m5m6 = 5
4
6
13 z r g h / d n 4
p x C
DEC (25) BIN j @ / 25
@ zBIN 11001
HEX (1AC) @ h 1AC
BIN @ zBIN 110101100
PEN @ rPEN 3203
OCT @ gOCT 654
DEC @ /428.
(1010 100)
× 11 =
[BIN]
@ z (
1010 &
100) k 11
=BIN 10010
BIN (111)
NEG d 111 =BIN 1111111001
HEX (1FF) +
OCT (512) =
@ h 1FF
@ g +
512 = OCT 1511
HEX (?) @ hHEX 349
2FEC
2C9E
M1
+) 2000 1901
M2
M
=
j x M
@ h 2FEC
& 2C9E mHEX 34E
2000 &1901
mHEX 6FF
t M
j x M HEX A4D
1011 AND 101 =
[BIN] @ z 1011
4 101 =BIN 1
5A OR C3 =
[HEX] @ h 5A p
C3 =HEX DB
NOT 10110 =
[BIN] @ z n
10110 =BIN 1111101001
24 XOR 4 =
[OCT] @ g 24 x
4 =OCT 20
B3 XNOR 2D =
[HEX] @ h B3 C
2D =HEXFFFFFFFF61
DEC @ /
-
159.
14 [ :
7°31’49.44” [10] j 7 [ 31 [
49.44 @ :
663
7
1250
123.678 [60] 123.678 @ :123(40q40.8"
3h 30m 45s +
6h 45m 36s = [60]
3 [ 30 [ 45
+ 6 [ 45 [
36 =10(16q21."
1234°56’12” +
0°0’34.567” = [60]
1234 [ 56 [
12 + 0 [ 0
[ 34.567 =1234(56q47."
3h 45m – 1.69h
= [60]
3 [ 45 & 1.69 =
@ :2(3q36."
sin 62°12’24”
= [10] v 62 [ 12 [
24 =0.884635235
24° [”] 24 [ N 486q400.
1500” [’] 0 [ 0 [ 1500
N 525.
15 u E H
(
x = 6
y = 4
(
r =
θ = [°] j 6 H 4
@ u
r:
{:
7.211102551
33.69006753
(
r = 14
θ = 36 [°]
(
x =
y =
14 H 36
@ E
X:
Y:
11.32623792
8.228993532
16 K L
V0 = 15.3 m/s
t = 10 s
V0t + 1
2gt2 = ? m
j 15.3 k 10 +
2 @ Z k K 03
k 10 A =
U643.3325
125 yd = ? m j 125@ L 05 =
U U114.3
Physical constants and metric conversions are shown in the tables.
Les constantes physiques et les conversions des unités sont
indiquées sur les tableaux.
Physikalische Konstanten und metriche Umrechnungen sind in
der Tabelle aufgelistet.
Las constants fi sicas y conversiones métricas son mostradas
en las tables.
Constantes fi sicas e conversões métricas estão mostradas nas
tablelas.
La constanti fi siche e le conversioni delle unità di misura vengono
mostrate nella tabella.
De natuurconstanten en metrische omrekeningen staan in de
tabellen hiernaast.
A fi zikai konstansok és a metrikus átváltások a táblázatokban
találhatók.
Fyzikální konstanty a převody do metrické soustavy jsou uvedeny
v tabulce.
Fysikaliska konstanter och metriska omvandlingar visas i tabellerna.
Fysikaaliset vakiot ja metrimuunnokset näkyvät taulukoista.
Fysiske konstanter og metriske omskrivninger vises i tabellen.
Konstanta fi sika dan konversi metrik diperlihatkan di dalam tabel.
斲殯
͑
儆垫穢
͑
恂庲
͑
旇朞
͑
͑
埮氊
͑
筞斶
͑
愯憛汆
͑
埪汒
͑
祢歆
͑
償枻城埪͟
K
01–52
01: c, c0(m
s–1)19: µB(J
T–1)37: eV(J)
02: G(m3
kg–1
s–2)20: µe(J
T–1)38: t(K)
03: gn(m
s–2)21: µN(J
T–1)39: AU (m)
04: me(kg) 22: µp(J
T–1)40: pc (m)
05: mp(kg) 23: µn(J
T–1)41: M(12C)(kg
mol–1)
06: mn(kg) 24: µµ(J
T–1)42: h
-
(J s)
07: mµ(kg) 25: λc(m) 43: Eh(J)
08: 1u(kg) 26: λc, p (m) 44: G0(s)
09: e(C) 27: σ(W
m–2
K–4)45: α–1
10: h(J
s) 28: NA, L(mol–1)46: mp/me
11: k(J
K–1)29: Vm(m3
mol–1)47: Mu(kg
mol–1)
12: µ0(N
A–2)30: R(J
mol–1
K–1)48: λc, n (m)
13: ε0(F
m–1)31: F(C
mol–1)49: c1(W
m2)
14: re(m) 32: RK()50: c2(m
K)
15: α33: –e/me(C
kg–1)51: Z0()
16: a0(m) 34: h/2me(m2
s–1) 52: atm (Pa)
17: R(m–1)35: γp(s–1
T–1)
18: Φ0(Wb) 36: KJ(Hz
V–1)
x
@
L
01–44
01: in cm 16: kg 31: calIT J
02: cm in 17: °F°C32: J calIT
03: ft m 18: °C °F 33: hp W
04: m ft 19: gal (US) L 34: W hp
05: yd m 20: L gal (US) 35: ps W
06: m yd 21: gal (UK) L 36: W ps
07: mi km 22: L gal (UK) 37: kgf/cm2Pa
08: km mi 23: fl oz(US) mL 38: Pa kgf/cm2
09: n mi m 24: mL fl oz(US) 39: atm Pa
10: m n mi 25: fl oz(UK) mL 40: Pa atm
11: acre m226: mL fl oz(UK) 41: mmHg Pa
12: m2acre 27: calth J 42: Pa mmHg
13: oz g 28: J calth 43: kgf·m N·m
14: g oz 29: cal15 J 44: N·m kgf·m
15: lb kg 30: J cal15
17 N (ENG)
100 m × 10 k = ? 100 N 3 4 k
10 N 3 0 =1'000.
18 n J
[FIX, TAB = 1] j @ J 1 0 10.0
5 ÷ 9 = ANS 5 z 9 =5
9
U0.6
ANS × 9 =k 9 = *15.0
5 z 9 =5
9
U0.6
[MDF] @ n3
5
ANS × 9 =k 9 = *2 2
5
5
U U5.4
[NORM1] @ J 1 35.4
*1 5
9 × 9 = 5.5555555555555 × 101 × 9
*2 3
5 × 9 = 0.6 × 9
19 N (ALGB)
f(x) = x3 3x2 + 2 j ; X @ 1
- 3 ; X A + 2
x = 1N 1 S 1 e
-
2.
x = 0.5 N 1 S 0.5 e 1
1
8
A2
+
B2@ * ; A A
+ ; B A
A = 2, B = 3 N 1
2 e 3 eH
13
A = 2, B = 5 N 1
e 5 eH
29
20 N (SOLVER)
sin
x 0.5 j v ; X - 0.5
Start = 0 N 2 0 e e30.
Start = 180 e 180 e e150.
21 _ H R v p c g o Q
G s i j h f a b S
V U
DATA
95
80
80
75
75
75
50
b 1 0
@ Z
S#a# 0 [SD]
0.
95 _DATA SET= 1.
80 _DATA SET= 2.
_DATA SET= 3.
75 H 3 _DATA SET= 4.
50 _DATA SET= 5.
x
=t Rx
=75.71428571
σx =t pσx=12.37179148
n =t cn=7.
Σx =t gΣx=530.
Σx2 =t oΣx2=41'200.
sx =t vsx=13.3630621
sx2 =A =sx2=178.5714286
(95 x
)
× 10 + 50 =
sx
( 95 &
; R )
z ; v
k 10 + 50
=64.43210706
24 N ( t, P
(
, Q
(
, R
(
)
DATA
xF
20
30
40
50
60
70
80
90
1
3
5
8
13
10
7
3
b 1 0
@ Z
S#a# 0 [SD]
0.
20 H 1 _DATA SET= 1.
30 H 3 _DATA SET= 2.
40 H 5 _DATA SET= 3.
50 H 8 _DATA SET= 4.
60 H 13 _DATA SET= 5.
70 H 10 _DATA SET= 6.
80 H 7 _DATA SET= 7.
90 H 3 _DATA SET= 8.
x
= t Rx
=60.4
σx = t pσx=16.48757108
x = 35 P(t)?N 2 35 N 1
) =0.061713
x = 75 Q(t)?N 3 75 N 1
) =0.312061
x = 85 R(t)?N 4 85 N 1
) =0.067845
t = 1.5 R(t)?N 4 1.5 ) =0.066807
25 b (CPLX)
(12 6i) + (7 + 15i)
(11 + 4i) =
b 3
12 - 6 O + 7 + 15 O
- ( 11 + 4 O
) =8.
+5.K
6 × (7 9i)
× (5 + 8i) =
6 k ( 7 - 9 O )
k ( S 5 + 8 O )
=222.
+606.K
16 × (sin 30° +
icos 30°) ÷ (sin 60°
+ icos 60°) =
16 k ( v 30 + O
$ 30 ) z ( v 60
+ O $ 60 )
=13.85640646
+8.K
y
x
A
B
r
r
2
θ1
θ2
r
1
θ
r1 = 8, θ1 = 70°
r2 = 12, θ2 = 25°
r = ?, θ =
@ u 8 Q 70 + 12 Q
25 =18.5408873
42.76427608
1 + i
r = ?, θ =
@ E 1 + O
=1.
+1.K
@ u1.414213562
45.
(2 3i)2 =@ E ( 2 - 3 O )
A =
-
5.
-
12.K
1
1
+
i = ( 1 + O ) @ Z
=0.5
-
0.5K
CONJ(5 + 2i) = N 1 ( 5 + 2 O )
=5.
-
2.K
EL-W506
EL-W516
EL-W546
sin 45 =v 45 = Q
2
2
U0.707106781
2cos1 0.5 [rad] =@ J 0 1
2 @ ^ 0.5 =
2
J
3
U2.094395102
3 u d
@ Z 0.
3(5 + 2) =3 ( 5 + 2 ) =21.
3 × 5 + 2 =3 k 5 + 2 = 17.
(5 + 3) × 2 =( 5 + 3) k 2 =16.
@ u21.
d17.
d16.
u17.
4 + & k z ( ) S `
45 + 285 ÷ 3 =j 45 + 285 z 3
=140.
(18 + 6) ÷ (15 8) =( 18 + 6 ) z
(
15 & 8 =
3
3
7
42 × 5 + 120 =42 k S 5 + 120
=
-
90
(5 × 103) ÷ (4 × 103) =5 ` 3 z
4 ` S 3 =1'250'000.
5
34 + 57 =34 + 57 =91.
45 + 57 =45 =102.
68 × 25 =68 k 25 =1'700.
68 × 40 =40 = 2'720.
6 v $ t w ^ y s H >
i l O " V Y Z A 1
* m D q B e c a W
@ P 00.
sin 60 [°] =j v 60 =Q
3
2
U0.866025403
cos π
4 [rad] =@ J 0 1
$ @ s W 4 =
Q
2
2
U0.707106781
tan1
1 [g] =@ J 0 2
@ y 1 =50.
@ J 0 0
(cosh 1.5 + sinh 1.5)2 = j ( H $
1.5 + H v
1.5 ) A =20.08553692
5
tanh1
⎯ =
7
@ > t (
5 z 7 ) = 0.895879734
ln 20 =i 20 =2.995732274
log 50 =l 50 = 1.698970004
log2 16384 =@ O 2 r 16384 =14.
o@ O 2 H 16384 )
=14.
e3 =@ " 3 =20.08553692
1 ÷ e =1 z ; V
=0.367879441
101.7 =@ Y 1.7 =50.11872336
1 1
⎯ + ⎯ =
6 7
6 @ Z + 7
@ Z =
13
42
U0.309523809
d(x4 0.5x3 + 6x2)
dx
@ G ; X m 4 r
& 0.5 ; X @ 1
+ 6 ; X A
(
x = 2
dx = 0.00002 r 2 =50.
(
x = 3
dx = 0.001
l l N 3
H 0.001 =130.5000029
o@ G ; X m 4
& 0.5 ; X @ 1
+ 6 ; X A H 2
) =50.
l l N 3
H 0.001 =130.5000029
8 I
5
x
=
1(x + 2) j @ I 1 r 5 r
; X + 2
n = 1 =25.
n = 2 l l H 2 =15.
oj @ I ; X + 2
H 1 H 5 ) =25.
l l H 2 =15.
9 ]
90° [rad] j 90 @ ] 1
J
2
[g] @ ]100.
[°] @ ]90.
sin1 0.8 = [°] @ w 0.8 =53.13010235
[rad] @ ]0.927295218
[g] @ ]59.03344706
[°] @ ]53.13010235
10 ; t x m M < [ ] T
X I
J
K
L
8 × 2 M j 8 k 2 x M 16.
24 ÷ (8 × 2) =24 z ; M = 1
1
2
(8 × 2) × 5 =; M k 5 =80.
0 M j x M0.
$150
× 3 M1
+) $250: M1 + 250 M2
) M2 × 5%
M
=
150 k 3 m450.
250 m250.
t M k 5 @ a
@ M35.
t M665.
$1 = ¥110 (110 Y) 110 x Y110.
¥26,510 = $? 26510 z ; Y
=241.
$2,750 = ¥? 2750 k ; Y
=302'500.
r = 3 cm (r Y) 3 x Y3.
πr2 = ?
@
s
;
Y
A
=
U28.27433388
24
4 + 6 = 2
2
5
…(A) 24 z ( 4 + 6
) =
2
2
5
3 × (A) + 60 ÷ (A) =3 k ; < + 60
z ; < =
1
32
5
πr2 F1
r = 3 cm (r Y)
4
3
V = ?
@ s ; Y A
x [jF1
3 x Y 3.
t [ k 4
z 3 = U 37.69911184
sinh1 D1 x I @ > v
sinh1 0.5 =I 0.5 =0.481211825
DATA
xy
2
2
12
21
21
21
15
5
5
24
40
40
40
25
b 1 1
@ Z
S#a# 1 [LINE]
0.
2 H 5 _DATA SET= 1.
_DATA SET= 2.
12 H 24 _DATA SET= 3.
21 H 40 H 3
_DATA SET= 4.
15 H 25 _DATA SET= 5.
a =t aa=1.050261097
b =t bb=1.826044386
r =t fr=0.995176343
sx =t vsx=8.541216597
sy =t Gsy=15.67223812
x = 3 y´ = ? 3 @ U 3y´6.528394256
y = 46 x´ = ? 46 @ V46 x´24.61590706
DATA
xy
12
8
5
23
15
41
13
2
200
71
b 1 2
@ Z
S#a# 2 [QUAD]
0.
12 H 41 _DATA SET= 1.
8 H 13 _DATA SET= 2.
5 H 2 _DATA SET= 3.
23 H 200 _DATA SET= 4.
15 H 71 _DATA SET= 5.
a =t aa=5.357506761
b =t bb=
-
3.120289663
c =t Sc=0.503334057
x = 10 y´ = ? 10 @ U 10 y´24.4880159
y = 22 x´ = ? 22 @ V
22x´
1:
2:
9.63201409
-
3.432772026
22 _ H u d #
DATA
20
30
40
40
50
DATA
30
45
45
45
60
b 1 0
@ Z
S#a# 0 [SD]
0.
20 _DATA SET= 1.
30 _DATA SET= 2.
40 H 2 _DATA SET= 3.
50 _DATA SET= 4.
d @ #DATA SET= 3.
d d d
45
_X: 45.
3 _F: 3.
d 60 _X: 60.
j
23
x
= Σx
nσx = Σx2 nx
2
n
sx = Σx2 nx
2
n 1
Σx = x1 + x2 + + xn
Σx2 = x12 + x22 + + xn2
y
= Σy
nσy = Σy2 ny
2
n
sy = Σy2 ny
2
n 1
Σxy = x1y1 + x2y2 + + xnyn
Σy = y1 + y2 + + yn
Σy2 = y12 + y22 + + yn2