计算:(1)3.75×4.23×36-125×0.423×2.8(2)1110+2110+3110+…+9110+10110-11465-12465-…-19465-20465(3)如:a※b=2a-

题目简介

计算:(1)3.75×4.23×36-125×0.423×2.8(2)1110+2110+3110+…+9110+10110-11465-12465-…-19465-20465(3)如:a※b=2a-

题目详情

计算:
(1)3.75×4.23×36-125×0.423×2.8
(2)
1
110
+
2
110
+
3
110
+…+
9
110
+
10
110
-
11
465
-
12
465
-…-
19
465
-
20
465

(3)如:a※b=2a-b成立,已知x※(4※1)=6,求x.
(4)1030×0.125+44.3×12.5+262×1.25.
题型:解答题难度:中档来源:不详

答案

(1)3.75×4.23×36-125×0.423×2.8,
=3.75×4.23×36-12.5×4.23×2.8,
=4.23×(3.75×36-12.5×2.8),
=4.23×(12.5×0.3×36-12.5×2.8),
=4.23×12.5×(0.3×36-2.8),
=4.23×12.5×(10.8-2.8),
=4.23×12.5×8,
=423;

(2))class="stub"1
110
+class="stub"2
110
+class="stub"3
110
+…+class="stub"9
110
+class="stub"10
110
-class="stub"11
465
-class="stub"12
465
-…-class="stub"19
465
-class="stub"20
465

=(class="stub"1
110
+class="stub"2
110
+class="stub"3
110
+…+class="stub"9
110
+class="stub"10
110
)-(class="stub"11
465
+class="stub"12
465
+…+class="stub"19
465
+class="stub"20
465
),
=class="stub"1+2+3+…+9+10
110
-class="stub"11+12+…+19+20
465

=
(1+10)×10÷2
110
-
(11+20)×10÷2
465

=class="stub"55
110
-class="stub"155
465

=class="stub"1
2
-class="stub"1
3

=class="stub"1
6


(3)根据题意可得:
4※1=4×2-1=7;
x※(4※1)=x※7=2x-7=6;
2x-7=6,
2x-7+7=6+7
2x=13
2x÷2=13÷2
x=6.5;

(4)1030×0.125+44.3×12.5+262×1.25,
=103×1.25+443×1.25+262×1.25,
=(103+443+262)×1.25,
=808×1.25,
=(800+8)×1.25,
=800×1.25+8×1.25,
=1000+10,
=1010.

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