Question

350×33+660×35+50×707的简便运算是什么？

Answer 1

解法一
350×33+660×35+50×707
=35×10×33+35×660+50×707
=35×330+35×660+50×707
=35×(330+660)+50×707
=35×990+50×707
=35×990+50×7×101
=35×990+5×7×10×101
=35×990+35×1010
=35×(1000－10)+35×(1000+10)
=35×1000－35×10+35×1000+35×10
=35×1000×2
=70×1000
=70000

方法二:
350×33+660×35+50×707
=33×10×35+33×20×35+50×707
=33×350+33×700+50×707
=33×(350+700)+50×707
=33×1050+50×707
=33×1050+7×101×5×10
=33×1050+101×350
=33×3×350+350×101
=350×99+350×101
=350×(99+101)
=350×200
=70000

这就是本题简便计算结果，如对您有帮助，还请点击采纳为我点赞，谢谢。

Answer 2

660x35=35x（10x66）=35x10x66=350x66
50x707=50x（7x101）=50x7x101=350x101
然后利用乘法分配律
350x33+350x66+350x101
=350x（33+66+101）
= 350x200
= 70000

Answer 3

原式=350X33+350X66+350Ⅹ101
=350Ⅹ(33+66+101)
=350Ⅹ200
=70000