Question

56×31+59×56+560的简便运算？

Answer 1

56×31+59×56+560
=56×31+59×56+56×10
=56×（31+59+10）
=56×100
=5600
麻烦请及时采纳,谢谢！

Answer 2

乘法分配律为：两个数的和与一个数相乘，先将它们与这个数分别相乘，再相加，积不变．即：（a+b）×c=a×c+b×c．反过来则：a×c+b×c=（a+b）×c
56 ×31+59 ×56+560
= 56× 31+59×56+56 ×10
= 56× ( 31+ 59+10)
= 59×100
= 5900