问题 填空题

83+41+59=83+(41+59)是运用了______.36×29+71×36=36×(29+71)是运用了______.24×25=20×25+4×25是运用了______.5×4×25×2=(5×2)×(4×25)是运用了______.

答案

83+41+59,

=83+(41+59),

=83+100,

=183;

运用了加法结合律进行简算;

36×29+71×36,

=36×(29+71),

=36×100,

=3600;

运用了乘法分配律进行简算;

24×25,

=20×25+4×25,

=500+100,

=600;

运用了乘法分配律进行简算;

5×4×25×2,

=(5×2)×(4×25),

=10×100,

=1000;

运用了乘法交换律和结合律进行简算.

故答案为:加法结合律,乘法分配律,乘法分配律,乘法交换律和结合律.

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