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(1)2×(-3)3-4×(-3)+15;(2)(12-59+712)×(-36);(3)已知1+2+3+…+31+32+33=17×33,求1-3+2-6+3-9+4-12+…+31-93+32-96+33-99的值.
题目详情
(1)2×(-3)3-4×(-3)+15;
(2)(
-
+
)×(-36);
(3)已知1+2+3+…+31+32+33=17×33,求 1-3+2-6+3-9+4-12+…+31-93+32-96+33-99的值.
(2)(
1 |
2 |
5 |
9 |
7 |
12 |
(3)已知1+2+3+…+31+32+33=17×33,求 1-3+2-6+3-9+4-12+…+31-93+32-96+33-99的值.
▼优质解答
答案和解析
(1)2×(-3)3-4×(-3)+15
=2×(-27)-4×(-3)+15
=-54-(-12)+15
=-54+12+15
=-54+27
=-(54-27)
=-27;
(2)(
-
+
)×(-36)
=(-36)×
+(-36)×(-
)+(-36)×
=-18+20+(-21)
=[-18+(-21)]+20
=-39+20
=-(39-20)
=-19;
(3)∵1+2+3+…+31+32+33=17×33,
∴1-3+2-6+3-9+4-12+…+31-93+32-96+33-99
=-2(1+2+3+…+31+32+33)
=-2×17×33
=-1122.
=2×(-27)-4×(-3)+15
=-54-(-12)+15
=-54+12+15
=-54+27
=-(54-27)
=-27;
(2)(
1 |
2 |
5 |
9 |
7 |
12 |
=(-36)×
1 |
2 |
5 |
9 |
7 |
12 |
=-18+20+(-21)
=[-18+(-21)]+20
=-39+20
=-(39-20)
=-19;
(3)∵1+2+3+…+31+32+33=17×33,
∴1-3+2-6+3-9+4-12+…+31-93+32-96+33-99
=-2(1+2+3+…+31+32+33)
=-2×17×33
=-1122.
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