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.