题目内容
【题目】递等式计算(能简便的要简便)
(1)25.3×12﹣33.46÷0.35
(2)12.74﹣0.125+2.26﹣9.875
(3)(
+
)÷ ![]()
(4)2.5×13×0.4
(5)
÷[(
+
)×
]
(6)
+
×19.
【答案】(1)208 (2)5 (3)29 (4)13 (5)
(6)16
【解析】
①按照先算乘除再算加减的法则运算;②运用加法结合律计算;③先变成乘法,再运用乘法分配律简算;④运用乘法交换律简算;⑤先算小括号,再算中括号的法则运算;⑥运用乘法分配律简算.熟记各种运算定律,特别是乘法分配律和结合律.这是常用的简算方法.
(1)25.3×12﹣33.46÷0.35
=303.6﹣95.6
=208
(2)12.74﹣0.125+2.26﹣9.875
=(12.74+2.26)﹣(0.125+9.875)
=15﹣10
=5
(3)(
+
)÷ ![]()
=(
+
)×24
=
×24+
×24
=9+20
=29
(4)2.5×13×0.4
=2.5×0.4×13
=1×13
=13
(5)
÷[(
+
)×
]
=
÷(
×
)
=
÷ ![]()
= ![]()
= ![]()
(6)
+
×19
=(1+19)× ![]()
=20× ![]()
=16
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