解:(1)25×
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×
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=25×(
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×
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);
(2)
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×
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×
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=(
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×
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)×
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;
(3)
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×(15×
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)=15×(
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×
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);
(4)25
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×4=25×4+
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×4;
(5)7×
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=8×
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-1×
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;
(6)1
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×25=1×25+
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×25;
(7)54×(
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-
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)=54×
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-54×
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;
故答案为:(1)25、
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;
(2)
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;
(3)15、
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;
(4)25、4、
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、4;
(5)8、
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、-、1、
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;
(6)1、25、+、
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、25;
(7)54、
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、-、54、
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.
分析:(1)25×
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×
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=□×(□×□),运用乘法结合律填空;
(2)
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×
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×
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=(□×□)×□,运用乘法交换律和结合律填空;
(3)
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×(15×
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)=□×(□×□),运用乘法交换律和结合律填空;
(4)25
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×4=□×□+□×□,运用乘法分配律填空;
(5)7×
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=□×□〇□×□,运用乘法分配律填空;
(6)1
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×25=□×□〇□×□,运用乘法分配律填空;
(7)54×(
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-
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)=□×□〇□×□,运用乘法分配律填空.
点评:此题考查的目的是理解掌握乘法交换律、结合律、分配律的意义,并且能够灵活运用这些运算定律进行简便计算.