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.