Question

37X47+36X53怎样简便运算？

Answer 1

把37*47转化为36*47+47，再反用乘法分配律，36*100+47=3647

Answer 2

此题可以根据乘法分配率和结合律来解决
37×47+36×53
=(36+1)×47+36×53
=36×47+1×47+36×53
=36×47+36×53+1×47
=36×(47+53)+1×47
=36×100+47
=3600+47
=3647

Answer 3

小朋友，要认真观察，想一想，怎么去凑100，还要看到47+53=100，37=36+1
37x47十36x53
=(36十1）x47十36x53
=36x47十47十36x53
=36x（47十53）十47
=36x100十47
=3600十47
=3647

Answer 4

因为37×47=1×47+36×47，所以原式等于47+36×47+36×53，运用乘法分配律逆运算有47+36×（47+53）=47+3600=3647

Answer 5

答：37×47十36x53＝37x47十（36十1）x47一1Ⅹ37＝（47十53）x37一37＝3700一37＝3663