题目内容

递等式计算(第④⑤⑥用简便方法计算)
1
15
÷[(
2
3
+
1
5
1
26
]
5
16
+(
7
16
-
1
4
1
2
2450-450÷18×25
25×3.2×125 17×
5
8
-
5
8
11
16
+
8
13
-(
11
16
-
5
13
)
分析:①先算加法,再算乘法,最后算除法;
②先算减法,再算除法,最后算加法;
③先算除法,再算乘法,最后算减法;
④根据乘法交换律和结合律进行计算;
⑤根据乘法分配律进行计算;
⑥根据加法交换律和结合律进行计算.
解答:解:
1
15
÷[(
2
3
+
1
5
)×
1
26
],
=
1
15
÷[
13
15
×
1
26
],
=
1
15
÷
1
30

=2;

5
16
+(
7
16
-
1
4
)÷
1
2

=
5
16
+
3
16
÷
1
2

=
5
16
+
3
8

=
11
16


③2450-450÷18×25,
=2450-25×25,
=2450-625,
=1825;

④25×3.2×125,
=25×(4×0.8)×125,
=(25×4)×(0.8×125),
=100×100,
=10000;

⑤17×
5
8
-
5
8

=(17-1)×
5
8

=16×
5
8

=10;

11
16
+
8
13
-(
11
16
-
5
13
),
=
11
16
+
8
13
-
11
16
+
5
13

=(
11
16
-
11
16
)+(
8
13
+
5
13
),
=0+1,
=1.
点评:四则运算,先弄清运算顺序,然后再进一步计算,能简算的要简算.
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