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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: Bài 3. Tính nhanh: a) A= 1.2 + 2.3+ 3.4 +…+ 100.101 b) B= 1.2.3 + 2.3.4 + 3.4.5 +…+ 100.101.102 Bài 4. Tính giá trị các biểu thức sau b

Toán Lớp 6: Bài 3. Tính nhanh:
a) A= 1.2 + 2.3+ 3.4 +…+ 100.101
b) B= 1.2.3 + 2.3.4 + 3.4.5 +…+ 100.101.102
Bài 4. Tính giá trị các biểu thức sau bằng cách hợp lý:
a) A = 714 + 382 + 286 + 318 b) B = 35.34 +35.86 +65.75 +65.45
c) C = (257.139 – 257 .39) : 100 d) D = 102 – 96 + 90 – 84 +…+ 54 – 48
e) E = 3 + 5 + 7 + … + 2021
Bài 5. Tính nhanh:
a) A= 1.2 + 2.3+ 3.4 +…+ 2020.2021
b) B= 1.2 + 2.3 + 3.4 +…+ n.(n + 1)

Comments ( 2 )

  1. 3)
    a) A= 1.2 + 2.3+ 3.4 +…+ 100.101
    3A = 1.2.3+2.3.3+3.4.3+…+100.101.3
    3A = 1.2.3+2.3.(4-1)+3.4.(5-2)+…+100.101.(102-99)
    3A= 1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+…+100.101.102-99.100.101
    3A= (1.2.3-1.2.3)+…+(99.100.101-99.100.101)+100.101.102
    3A= 100.101.102
    A = 100.101.102 : 3
    A = 343 400
    b) B= 1.2.3 + 2.3.4 + 3.4.5 +…+ 100.101.102
    4B=1.2.3.4+2.3.4.4+3.4.5.4+…+100.101.102.4
    4B=1.2.3.4+2.3.4.(5-1)+3.4.5.(6-2)+…+100.101.102.(103-99)
    4B=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+…+100.101.102.103-99.100.101.102
    4B=(1.2.3.4-1.2.3.4)+…+(99.100.101.102)+100.101.102.103
    4B=100.101.102.103
    B= 100.101.102.103:3
    B= 35370200
    4)
    a) A= (714+286)+(382+318)
    A=1000+700
    A=1700
    b) B=35.34+35.86+65.75+65.45
    B=35.(34.86)+65.(75.45)
    B=35.120+65.120
    B=120.(35+65)
    B=120.100
    B=12000
    c)C= (257.139 – 257 .39):100
    C=257.(139-39):100
    C=257.(100:100)
    C=257
    d)D=102 – 96 + 90 – 84 +…+ 54 – 48
    D=(102-96)+(90-84)+(78-72)+(66-60)+(54-48)
    D=6.5
    D=30
    e) E=3+5+7+…+2021
    E=[(2021-3):3+1](số số hạng)=678 số 
    =>  [(3+2021).678:2
    = 686136

  2. Giải đáp:
     1234
    Lời giải và giải thích chi tiết:
     Bài 3: Tính nhanh:
    a) A= 1.2 + 2.3+ 3.4 +…+ 100.101
    3A = 1.2.3+2.3.3+3.4.3+…+100.101.3
    3A = 1.2.3+2.3.(4-1)+3.4.(5-2)+…+100.101.(102-99)
    3A= 1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+…+100.101.102-99.100.101
    3A= (1.2.3-1.2.3)+…+(99.100.101-99.100.101)+100.101.102
    3A= 100.101.102
    A = 100.101.102 : 3
    A = 343 400
    b) B= 1.2.3 + 2.3.4 + 3.4.5 +…+ 100.101.102
    4B=1.2.3.4+2.3.4.4+3.4.5.4+…+100.101.102.4
    4B=1.2.3.4+2.3.4.(5-1)+3.4.5.(6-2)+…+100.101.102.(103-99)
    4B=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+…+100.101.102.103-99.100.101.102
    4B=(1.2.3.4-1.2.3.4)+…+(99.100.101.102)+100.101.102.103
    4B=100.101.102.103
    B= 100.101.102.103:3
    B= 35370200
    Bài 4: 
    a) A= (714+286)+(382+318)
    A=1000+700
    A=1700
    b) B=35.34+35.86+65.75+65.45
    B=35.(34.86)+65.(75.45)
    B=35.120+65.120
    B=120.(35+65)
    B=120.100
    B=12000
    c)C= (257.139 – 257 .39):100
    C=257.(139-39):100
    C=257.(100:100)
    C=257
    d)D=102 – 96 + 90 – 84 +…+ 54 – 48
    D=(102-96)+(90-84)+(78-72)+(66-60)+(54-48)
    D=6.5
    D=30
    e) E=3+5+7+…+2021
    E=[(2021-3):3+1](số số hạng)=678 số
       =>  [(3+2021).678:2
            = 686136
    Bài 5: 
    a)
    b) 

    toan-lop-6-bai-3-tinh-nhanh-a-a-1-2-2-3-3-4-100-101-b-b-1-2-3-2-3-4-3-4-5-100-101-102-bai-4-tinh

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222-9+11+12:2*14+14 = ? ( )