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

Toán Lớp 5: Tính nhanh a, 20212021×2020-20202020×2021 b, 1×2+2×3+3×4+–..+99×100

Toán Lớp 5: Tính nhanh
a, 20212021×2020-20202020×2021
b, 1×2+2×3+3×4+……….+99×100

Comments ( 2 )

  1. a, 20212021xx2020-20202020xx2021
    = 20212021xx2020-2020xx10001 xx2021
    = 20212021 xx 2020 – 2020xx20212021
    = 0
    b, 1xx2+2xx3+3xx4+4xx5+…+99xx100
    Đặt A = 1xx2+2xx3+3xx4+…+99xx100
    3A = 1xx2xx3+2xx3xx(4-1)+3xx4xx(5-2)+….+99xx100xx(101-98)
    3A = 1xx2xx3+2xx3xx4-1xx2xxx3xx4xx5-2xx3xx4+…+99xx100xx101- 98xx99xx100
    3A = 99xx100xx101
    A = (99xx100xx101)/3
    A = 333300
    Vậy kết quả của phép tính là : 333300

  2. a)20202020 xx 2021 – 20212021 xx 2020
    = 2020 xx 10001 xx 2021 – 20212021 xx 2020
    = 2020 xx 20212021 – 20212021 xx 2020
    = 2020 xx (20212021 – 20212021)
    =  2020 xx 0
    = 0
    b)1xx2+2xx3+3xx4+……….+99xx100
    Gọi tổng dãy số là C
    Dãy số này ta đem nhan với 3
    C.3=1.2.3 + 2.3.3 + 3.4.3 + … + 99.100.3 
    C . 3 = 1.2.3 + 2.3.(4 – 1) + 3.4.( 5 – 2) + … + 99.100. (101 – 98) 
    C . 3 = 1.2.3 + 2.3.4 – 1.2.3 + 3.4.5 – 2.3.4 + … + 99.100.101 – 98.99.100
    C. 3 = 99.100.101 
    C = 99.100.101 : 3 
    C = 33.100.101 
    C = 333 300
    ~Học tốt~
     

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