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7.5×25+25×2.5=25×(7.5+2.5),运算的依据是________.

乘法分配律
分析:式子7.5×25+25×2.5=25×(7.5+2.5)符合乘法的乘法分配律a×c+b×c=(a+b)×c,所以是运用了乘法的分配律进行计算的.
解答:解;7.5×25+25×2.5=25×(7.5+2.5),
符合乘法的乘法分配律a×c+b×c=(a+b)×c,
所以是运用了乘法的分配律进行计算的.
故答案为:乘法分配律.
点评:本题考查了分数的乘法分配律的运用,考查了学生对运算定律的理解及运用.
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