题目内容

脱式计算(能简算的要简算)
(1)
4
9
×[
3
4
-(
7
16
-
1
4
)]
(2)6.25×0.56+
5
8
×3.4+5×
1
8

(3)6.72-2.3÷0.5×0.8              
(4)2007÷2007
2007
2008
考点:整数、分数、小数、百分数四则混合运算,运算定律与简便运算,小数四则混合运算
专题:运算顺序及法则,运算定律及简算
分析:(1)先算小括号里的减法,再算中括号里的减法,最后算括号外的乘法;
(2)运用乘法的分配律进行简算;
(3)先算除法,再算乘法,最后算减法;
(4)2007
2007
2008
=
2007×2008+2007
2008
=
2007×(2008+1)
2008
=
2009×2007
2008
,又根据分数除法法则,甲数除以乙数(0除外),等于甲数乘乙数的倒数.所以,2007÷2007
2007
2008
=2007×
2008
2009×2007
=
2008
2009
解答: 解:(1)
4
9
×[
3
4
-(
7
16
-
1
4
)]
=
4
9
×[
3
4
-
3
16
]
=
4
9
×
9
16

=
1
4


(2)6.25×0.56+
5
8
×3.4+5×
1
8

=6.25×0.56+
5
8
×3.4+5×
1
8

=0.625×5.6+0.625×3.4+0.625
=0.625×(5.6+3.4+1)
=0.625×10
=6.25;

(3)6.72-2.3÷0.5×0.8
=6.72-4.6×0.8
=6.72-3.68
=3.04;

(4)2007÷2007
2007
2008

=2007÷
2007×2008+2007
2008

=2007÷
2007×(2008+1)
2008

=2007÷
2009×2007
2008

=2007×
2008
2009×2007

=
2008
2009
点评:完成本题时要细心,能用简便方法的用简便方法.
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