123.123×789-123×789点789简便一点?
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123.123*789-123*789.789
=(123+0.123)*789-123*(789+0.789)
=123*789+0.123*789-123*789-123*0.789
=123*789-123*789+0.123*789-123*0.789
=0.123*789-123*0.789
=0.01*123*789-123*0.01*789
=0
=(123+0.123)*789-123*(789+0.789)
=123*789+0.123*789-123*789-123*0.789
=123*789-123*789+0.123*789-123*0.789
=0.123*789-123*0.789
=0.01*123*789-123*0.01*789
=0
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解:此题可以运用乘法分配律将123.123化为1.001ⅹ123同789连乘,789.789化为1.001ⅹ789同123连乘,提取1.001,然后按四则运算法则进行计算。计算过程
123.123ⅹ789-123ⅹ789.789
=1.001ⅹ123x789-123ⅹ1.001ⅹ789
=1.001ⅹ(123ⅹ789-789x123)
=1.001ⅹ0
=0。
123.123ⅹ789-123ⅹ789.789
=1.001ⅹ123x789-123ⅹ1.001ⅹ789
=1.001ⅹ(123ⅹ789-789x123)
=1.001ⅹ0
=0。
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=(123+0.123)×789-123×(789+0.789)
=123×789+0.123×789-123×789-123×0.789
=0.123×789-123×0.789
=0
=123×789+0.123×789-123×789-123×0.789
=0.123×789-123×0.789
=0
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123.123×789-123×789.789
=123×1.001×789-123×789×1.001
=0
=123×1.001×789-123×789×1.001
=0
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