问题 解答题
用简便方法计算
①100-98+96-94+92-90+…+8-6+4-2②(25+125)×8
③(98+98+98+98)×25④785-(217+185)
⑤454+999×999+545⑥426+1999.
答案

①100-98+96-94+92-90+…+8-6+4-2,

=(100-98)+(96-94)+(92-90)+…+(8-6)+(4-2),

=2+2+2+…+2+2,

=2×25,

=50;

②(25+125)×8,

=25×8+125×8,

=25×4×2+1000,

=200+1000,

=1200;

③(98+98+98+98)×25,

=98×4×25,

=98×(4×25),

=98×100,

=9800;

④785-(217+185),

=785-217-185,

=785-185-217,

=600-217,

=383;

⑤454+999×999+545,

=(454+545)+999×(1000-1),

=1000+999×1000-999,

=1000×(1+999)-999,

=1000000-999,

=999001;

⑥426+1999,

=426+(2000-1)

=426-1+2000,

=425+2000,

=2425.

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