问题 解答题

计算:①125×25×5675000÷25÷40

②9999+999+99+9100+99+98+…+3+2+1

③98+97-96-95+94+93-92-91+90+89-…-4-3+2+1.

答案

①125×25×5675000÷25÷40,

=125×25×5675000÷(25×40),

=125×25×5675000÷1000,

=125×25×(5675000÷1000),

=125×25×5675,

=17734375;

②9999+999+99+9100+99+98+…+3+2+1,

=(2000-1)+(1000-1)+(100-1)+9000+(100+99+98+…+3+2+1),

=3100-3+9000+5050,

=(3000+9000+5000)+(100-3+50),

=17000+147,

=17147;

③98+97-96-95+94+93-92-91+90+89-…-4-3+2+1,

=98+(97-96)-(95-94)+(93-92)-(91-90)+…+(5-4)-(3-2)+1,

=98+1,

=99.

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