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    PROBLEM SOLVING

    1. BHETY ANGGRAENI K. R 1002102040112. INTAN FIDDIYAH 100210204110

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    1. 59669 x 999 + (2213) - (712) =

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    Langkah 1 :

    59669 x 999 =

    59669

    xx

    = 59609331

    diubah menjadi

    (1000 1)59669 x

    = 59669000 -

    59669 x 999

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    2 1 3 =2x13 2 =2

    13 = +

    7 36 9984

    0_ _ _

    04 0 25x 2

    Langkah 2 :

    2 13 = __04 0

    9

    x13 2 =

    13 = +

    5 36 94

    25

    61

    x 2

    2

    8

    Dikuadratkan

    002 0

    mendekati

    2213

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    712 = 0_06 4

    4

    x12 2 =

    12 = +

    9 34 45

    91

    41

    x 8

    Langkah 3 :

    _

    2

    6Langkah 4 :

    59669 x 999 + (2213) - (712) =

    = 65166044

    Dikuadratkan 08 0mendekati

    712

    59609331 4897369 659344+ +

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    3

    2735

    - 2702

    - 713 - 2702

    2. =

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    Langkah 1 :

    2735 21= 2

    22

    = 423=

    menentukan

    pola 824= . . . 625= . . . 2

    Berulang 4 kali

    karena nilai

    satuan pada 25sama dengan nilai

    satuan pada 21

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    Berdasarkan pola,bilangan 2 yang

    dipangkatkan

    memiliki 4 jenis

    maka

    2735735

    4=183(sisa 3 )

    maka

    = 23= 8

    2702

    702

    4 =175(sisa 2 )maka

    = 22= 4

    Langkah 2 :

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    Langkah 3 :

    3

    2735

    - 2702

    + 713+2702

    = 3

    8 - 4+

    713+4

    = 34+ 71

    7

    = 375

    7

    x

    = 2175

    = 725

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    3. B = ; C =

    , maka =

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    Langkah 1 :

    B =

    B = 30 +dimisalkan B

    B = 30 + B

    B 30-B- = 0(B 6)(B + 5) VB = 6 B = -5

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    Langkah 2 :

    C =

    C = 30 -

    dimisalkan C

    C = 30 - CC 30-C+ = 0

    (C + 6)(C - 5)

    VC = -6 C = 5

    Langkah 3 :

    =

    =

    =

    6 - 530

    15 - 16

    130

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    4. 1 + 2 + 3 + . . . + 20 =

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    Langkah 1 :Menentukan pola terlebih dahulu :

    1 =1 = 1 x 2( 1 + 2 )1 x 2 x 3

    =

    Bilangan selanjutnya

    1 (dugaan)

    2= 5 = 2 x 3( 2 + 3 )1 x 2 x 3

    = 5

    3=14= 3 x 4 ( 3 + 4 )1 x 2 x 3 = 14(pola)

    1+

    21+ +

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    1 + 2 + 3 + . . . + 20

    Langkah 2 :

    Berdasarkan pola :

    20 x 21 ( 20 + 21 )

    1 x 2 x 3

    420 ( 41)

    6=

    =

    6

    =

    = 2870

    4 2 0

    4

    1

    6

    1

    00

    8

    0

    0

    4

    0 0

    02

    022

    1

    7

    X

    1 +

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    5. 1

    x1 3

    +1

    x3 5

    +1

    x5 7

    +1

    x 99

    +. . .

    97

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    1

    x1 3+

    1

    x3 5+

    1

    x5 7+

    1

    x97 99+. . .

    Langkah :

    1

    1

    -1

    3

    =

    . . .

    1

    3-1

    1

    3

    -1

    5

    1

    5-3

    + +1

    5-

    1

    7

    1

    7-5

    +

    +1

    97-

    1

    99

    1

    99-97

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    =1

    1-

    1

    3

    1

    2

    +1

    3

    -1

    5

    1

    2

    +1

    5

    -1

    7

    1

    2

    +

    . . . + 1

    97-

    1

    99

    1

    2

    =1

    2

    1

    1-

    1

    3+

    1

    3-

    1

    5+

    1

    5-

    1

    7+

    . . .1

    97+

    1

    97-

    1

    99-

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    =1

    2

    99

    99

    - 1

    = 12

    9899

    =

    49

    99

    =1

    2

    1

    1-

    1

    99

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    TERIMA KASIH