题目内容

计算(能简算的要写出简算过程)
①7968-2968÷28×27             
②5.47-3
5
9
+3.63-2
4
9

③(8.8-23.4×
1
3
)÷
5
9
         
 ④0.3×1
4
9
+6
5
9
×
3
10

⑤12.5×2.5×12×
8
3
          
 ⑥[1.6-(
6
5
-
4
15
)×
3
7
2
3
分析:①先算除法,再算乘法,最后算减法;
②根据加法交换律和结合律进行计算;
③先算乘法,再算减法,最后算除法;
④根据乘法分配律进行计算;
⑤根据乘法交换律和结合律进行计算;
⑥先算小括号里面的减法,再算中括号里面的乘法,再算中括号里面的减法,最后算除法.
解答:解:
①7968-2968÷28×27,
=7968-106×27,
=7968-2862,
=5106;

②5.47-3
5
9
+3.63-2
4
9

=(5.47+3.63)-(3
5
9
+2
4
9
),
=9-6,
=3;

③(8.8-23.4×
1
3
)÷
5
9

=(8.8-7.8)÷
5
9

=1÷
5
9

=
9
5


 ④0.3×1
4
9
+6
5
9
×
3
10

=0.3×1
4
9
+6
5
9
×0.3

=0.3×(1
4
9
+6
5
9
)

=0.3×8,
=2.4;

⑤12.5×2.5×12×
8
3

=12.5×2.5×(4×8),
=(12.5×8)×(2.5×4),
=100×10,
=1000;

⑥[1.6-(
6
5
-
4
15
)×
3
7
2
3

=[1.6-
14
15
×
3
7
2
3

=[1.6-0.4]÷
2
3

=1.2÷
2
3

=1.8.
点评:四则运算,先弄清运算顺序,然后再进行计算,能简算的要简算.
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