【急】!简便运算!(1) 3/4+9 3/4(九又四分之三)+99 3/4(九十九又四分之三)+999 3/4(九百九十

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  • 1) 3/4+9 3/4(九又四分之三)+99 3/4(九十九又四分之三)+999 3/4(九百九十九又四分之三)+1

    =1) 3/4+9 3/4(九又四分之三)+99 3/4(九十九又四分之三)+999 3/4(九百九十九又四分之三)+1/4+1/4+1/4+1/4

    =1+10+100+1000

    =1111

    (2)1-1/2-1/4-1/8-1/16-1/32-1/64

    =1-(1/2+1/4+1/8+1/16+1/32+1/64)-1/64+1/64

    =1-(1/2+1/4+1/8+1/16+1/32+1/64+1/64)+1/64

    =1-1+1/64

    =1/64

    (3) 1/3x7+1/7x11+1/11x15+……+1/55x59

    =1/4*(1/3-1/7)+1/4*(1/7-1/11)+.1/4*(1/55_1/59)

    =1/4*(1/3-1/7+1/7_1/11+.+1/55-1/59)

    =1/4*(1/3-1/59)

    =14/177

    (4) 1/6+1/12+1/20+1/30+1/40 (最后应该是1/42)

    =1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7

    =1/2-1/7

    =5/14

    (5) 7+77+777+7777+77777

    =7*(1+11+111+1111+11111)

    =7*12345

    =86415

    6) 8×(3.1-2.85)×12.5×(1.62+2.38)

    =8×12.5X(3.1-2.85)×(1.62+2.38)

    =100*0.25*4

    =100*1

    =100

    (7)100+99-98+97-96+……+3-2+1

    =100+(99-98)+(97-96).+(3-2)+1

    =100+49+1

    =150