Question

10.7×9.96+1.07×0.04的简便方法？

Answer 1

10.7×9.96+1.07×0.04
=10.7×(10－0.04)+1.07×0.04
=10.7×10－10.7×0.04+1.07×0.04
=107－0.04×(10.7－1.07)
=107－0.04×9.63
=107－0.3852
=106.6148

Answer 2

10.7×9.96+1.07×0.04
=1.07×10×9.96+1.07×0.04
=1.07×(10×9.96)+1.07×0.04
=1.07×99.6+1.07×0.04
=1.07×(99.6+0.04)
=1.07×99.64
=(1+0.07)×99.64
=99.64+0.07×99.64
=99.64+6.9748
=106.6148
这一题应该是题目出错了，正常来说应该是107

Answer 3

10.7*9.96+1.07*0.04 10.7是1.07的10倍，所以将1.07放大10倍，那么0.04就要缩小10倍
=10.7*9.96+10.7*0.004
=10.7*（9.96+0.004）
=10.7*9.964（式子算到这里，其实并没有简化多少，原式子有没有抄错了）
=10.7*（10-0.036）
=107-0.3852
=106.6148

Answer 4

10.7×9.96+1.07×0.04
=10.7×9.96+（10.7×0.04-9x1.07x0.04)
=10.7x(9.96+0.04)-9.63x0.04
=10.7x10-0.3852
=107-0.3852
=106.6148

Answer 5

10.7×9.96+1.07×0.04=1.07×99.6+1.07×0.04=1.07×(99.6+0.04)=1.07×99.64=1.07×(100-0.36)=1.07×100-1.07×0.36=107-0.3852=106.6148