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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 0.03^2×60%^2+0.05^2×40%^2+2×60%×40%×(-0.8)×0.03×0.05 .
    Question type: Mathematical calculation
    Solution:
          0.03^2×60%^2+0.05^2×40%^2+2×60%×40%×(-0.8)×0.03×0.05
        =0.03^2×60%^2+0.05^2×40%^2+2×60%×40%×(-0.8)×0.03×0.05
        =0.03^2×0.6^2+0.05^2×40%^2+2×60%×40%×-0.8×0.03×0.05
        =0.03^2×0.6^2+0.05^2×0.4^2+2×60%×40%×-0.8×0.03×0.05
        =0.03^2×0.6^2+0.05^2×0.4^2+2×0.6×40%×-0.8×0.03×0.05
        =0.03^2×0.6^2+0.05^2×0.4^2+2×0.6×0.4×-0.8×0.03×0.05
        =0.0009×0.6^2+0.05^2×0.4^2+2×0.6×0.4×(-0.8)×0.03×0.05
        =0.0009×0.36+0.05^2×0.4^2+2×0.6×0.4×(-0.8)×0.03×0.05
        =0.0009×0.36+0.0025×0.4^2+2×0.6×0.4×(-0.8)×0.03×0.05
        =0.0009×0.36+0.0025×0.16+2×0.6×0.4×(-0.8)×0.03×0.05
        =0.000324+0.0025×0.16+2×0.6×0.4×(-0.8)×0.03×0.05
        =0.000324+0.0004+2×0.6×0.4×(-0.8)×0.03×0.05
        =0.000324+0.0004+1.2×0.4×(-0.8)×0.03×0.05
        =0.000324+0.0004+0.48×(-0.8)×0.03×0.05
        =0.000324+0.0004+(-0.384)×0.03×0.05
        =0.000324+0.0004+(-0.01152)×0.05
        =0.000324+0.0004+(-0.000576)
        =0.000724+(-0.000576)
        =0.000148

    Answer:0.03^2×60%^2+0.05^2×40%^2+2×60%×40%×(-0.8)×0.03×0.05=0.000148


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