题目内容
8.3-2.1÷1.75×(1.7+0.45)
+
-(
-
)
5.4×3.2+3.2+32×0.36
+
+
+
+
+
.
解:(1)8.3-2.1÷1.75×(1.7+0.45),
=8.3-2.1÷1.75×2.15,
=8.3-1.2×2.15,
=8.3-2.58,
=5.72;
(2)
+
-(
-
),
=
+
-
+
,
=(
-
)+(
),
=
+1,
=1
;
(3)5.4×3.2+3.2+32×0.36,
=5.4×3.2+3.2×1+3.2×3.6,
=(5.4+1+3.6)×3.2,
=10×3.2,
=32;
(4)
+
+
+
+
+
,
=(1-
)+(
-
)+(
-
)+(
-
)+(
-
)+(
-
),
=1-
+
-
-…+
-
+
,
=1-
,
=
.
分析:(1)先算小括号内的加法,再算除法,然后算乘法,最后算减法;
(2)去掉括号后用加法结合律计算;
(3)运用乘法分配律简算;
(4)
=
;
=
-
;…由此找出规律计算.
点评:第四题根据
=
-
(n≠0)这一关系找到规律求解.
=8.3-2.1÷1.75×2.15,
=8.3-1.2×2.15,
=8.3-2.58,
=5.72;
(2)
=
=(
=
=1
(3)5.4×3.2+3.2+32×0.36,
=5.4×3.2+3.2×1+3.2×3.6,
=(5.4+1+3.6)×3.2,
=10×3.2,
=32;
(4)
=(1-
=1-
=1-
=
分析:(1)先算小括号内的加法,再算除法,然后算乘法,最后算减法;
(2)去掉括号后用加法结合律计算;
(3)运用乘法分配律简算;
(4)
点评:第四题根据
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