用合理的方法计算.116÷[125×(25+110)]5.6×334-425×3.75+0.88×3712(94735+941925+9.476+0.9476)÷0.11112011×(3.4×69+

题目简介

用合理的方法计算.116÷[125×(25+110)]5.6×334-425×3.75+0.88×3712(94735+941925+9.476+0.9476)÷0.11112011×(3.4×69+

题目详情

用合理的方法计算.
1
16
÷[
1
25
×(
2
5
+
1
10
)]

5.6×3
3
4
-4
2
5
×3.75+0.88×37
1
2

(947
3
5
+94
19
25
+9.476+0.9476)÷0.1111
2011×(3.4×69+3.5)
3.5×69-3.4
题型:解答题难度:中档来源:不详

答案

(1)class="stub"1
16
÷[class="stub"1
25
×(class="stub"2
5
+class="stub"1
10
)],
=class="stub"1
16
÷[class="stub"1
25
×(class="stub"4
10
+class="stub"1
10
)],
=class="stub"1
16
÷[class="stub"1
25
×class="stub"1
2
],
=class="stub"1
16
÷class="stub"1
50

=class="stub"1
16
×50,
=class="stub"25
8


(2)5.6×3class="stub"3
4
-4class="stub"2
5
×3.75+0.88×37class="stub"1
2

=5.6×3.75-4.4×3.75+0.88×37.5,
=5.6×3.75-4.4×3.75+8.8×3.75,
=(5.6-4.4+8.8)×3.75,
=10×3.75,
=37.5;

(3)(947class="stub"3
5
+94class="stub"19
25
+9.476+0.9476)÷0.1111,
=(947.6+94.76+9.476+0.9476)÷0.1111,
=(9476×0.1+9476×0.01+9476×0.001+9476×0.0001)÷0.1111,
=[(0.1+0.01+0.001+0.0001)×9476]÷0.1111,
=0.1111×9476÷0.1111,
=9476;

(4)
2011×(3.4×69+3.5)
3.5×69-3.4

=
2011×[3.4×(70-1)+3.5]
[(3.4+0.1)×69-3.4]

=
2011×(3.4×70+0.1)
3.4×69+3.5

=
2011×(3.4×70+0.1)
3.4×70+0.1

=2011.

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