654322*123456-123455*654321简算?
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654322×123456-123455×654321
=(654321+1)×123456-123455×654321
=654321×123456+123456-123455×654321
=654321×(123456-123455)+123456
=654321×1+123456
=654321+123456
=777777
=(654321+1)×123456-123455×654321
=654321×123456+123456-123455×654321
=654321×(123456-123455)+123456
=654321×1+123456
=654321+123456
=777777
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654322×123456-123455×654321
=(654321+1)×123456-123455×654321
=654321×123456+123456-123455×654321
=654321×(123456-123455)+123456
=654321×1+123456
=654321+123456
=777777
=(654321+1)×123456-123455×654321
=654321×123456+123456-123455×654321
=654321×(123456-123455)+123456
=654321×1+123456
=654321+123456
=777777
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654322×123456-123455×654321=(654321+1)×123456-123455×654321=654321×123456+123456-123455×654321=654321×(123456-123455)+123456=654321×1+123456=654321+123456=777777
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654322×123456-123455×654321=(654321+1)×123456-123455×654321=654321×123456+123456-123455×654321=654321×(123456-123455)+123456=654321×1+123456=654321+123456=777777
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本题可以通过分拆形成简便运算。具体为——
654322×123456-123455×654321
=(654321+1)×123456-(123456-1)×654321
=654321×123456+123456-123456×654321+654321
=(654321×123456-123456×654321)+123456+654321
=123456+654321
=777777
654322×123456-123455×654321
=(654321+1)×123456-(123456-1)×654321
=654321×123456+123456-123456×654321+654321
=(654321×123456-123456×654321)+123456+654321
=123456+654321
=777777
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