7.81×3.1+6.9×4.29+3.52×6.9的简便计算是什么?
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解:7.81X3.1+6.9X4.29+3.52X6.9=7.81X3.1+6.9X(4.29+3.52)=7.81X3.1+6.9X7.81=7.81X(3.1+6.9)=7.81X10=78.1
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观察这道题的后面的两个乘法算式中有相同的数6.9,符合乘法分配律,计算后和前面的乘法算式中又有相同的数7.81,再次符合乘法分配律,所以经过两次计算后就简便了。过程如下:
7.81×3.1+6.9×4.29+3.52×6.9
=7.81×3.1+6.9×(4.29+3.52)
=7.81×3.1+6.9×7.81
=7.81×(3.1+6.9)
=7.81×10
=78.1
7.81×3.1+6.9×4.29+3.52×6.9
=7.81×3.1+6.9×(4.29+3.52)
=7.81×3.1+6.9×7.81
=7.81×(3.1+6.9)
=7.81×10
=78.1
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原式=7.81×3.1+6.9×(4.29+3.52)=7.81×3.1+6.9×7.81=7.81×(3.1+6.9)=7.81×10=78.1
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7.81×3.1+6.9×4.29+3.52×6.9
=7.81×3.1+6.9×(4.29+3.52)
=7.81×3.1+6.9×7.81
=7.81×(3.1+6.9)
=7.81×10
=78.1
=7.81×3.1+6.9×(4.29+3.52)
=7.81×3.1+6.9×7.81
=7.81×(3.1+6.9)
=7.81×10
=78.1
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=7.81×3.1+(4.29+3.52)×6.9
=7.81×3.1+7.81×6.9
=(3.1+6.9)×7.81
=10×7.81
=78.1
=7.81×3.1+7.81×6.9
=(3.1+6.9)×7.81
=10×7.81
=78.1
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