Question

2458×345670-345671×2457简便方法如何计算？

Answer 1

2458×345670-345671×2457=343213
把2458看成2457+1
所以（2457+1）×345670=2457×345670+345670
代入原式，2457×345670+345670-345671×2457
提公因式2457，2457×（345670-345671）=-2457
最后用-2457+345670=343213
所以简便计算结果343231

Answer 2

原式=2457*345670+345670-2457*345671=345670-2457=343213

Answer 3

解：2458x345670-345671x2457
=2458x345671-2458-345671x2457
=(2458-2457)x345671-2458
=1x345671-2458
=343213

Answer 4

2458×345670–345671×
2457
=2458×(345671-1)
–345671×2457
=2458×345671-2458×1-345671×2457
=2458×345671-345671×2457-2458×1
=(2458-2457)×345671-2458
=1×345671-2458
=345671-2458
=343213

Answer 5

原式=（2457+1）×345670-（345670+1）×2457=2457×345670+345670-345670×2457-2457=343213