题目内容
【题目】计算题
(1)
(2)1997+1996﹣1995﹣1994+1993+1992﹣1991﹣1990+…﹣3﹣2+1
(3)(9991×1999.1999+9991.9991×1999)÷2.0002
【答案】(1)
(2)1997
(3)19972009
【解析】
(1)
=[0.35×+0.3]÷
=[0.2+0.3]÷
=0.5÷
=
(2)根据题意可知,一共1997个数,1997到2这1996个每4个一组,每组4个数的和为:1997+1996﹣1995﹣1994=4,一共有1996÷4=499组;
1997+1996﹣1995﹣1994+1993+1992…﹣2+1
=(1997+1996﹣1995﹣1994)×(1996÷4)+1
=4×499+1
=1997
(3)(9991×1999.1999+9991.9991×1999)÷2.0002
=(9991×1999×1.0001+9991×1.0001×1999)÷2.0002
=9991×1999×(1.0001+1.0001)÷2.0002
=
=9991×1999
=9991×(2000﹣1)
=9991×2000﹣9991×1
=19982000﹣9991
=19972009
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