请教两道简算题

来源:百度知道 编辑:UC知道 时间:2024/05/16 13:05:29
(1)199.9×19.98-199.8×19.97

(2)4.83×0.59+0.41×1.59-0.324×5.9

希望各位热心的人能提供出这些题的解决方法,谢谢了!
向各位敬礼!
答案应该得3.996、1.59,如果各位好心人发现自己算得答案不对,就不要往上发了啊!谢谢了!

(1)199.9×19.98-199.8×19.97
=19.98×(199.9-19.97×10 )
=19.98×0.2
=3.996
(2)4.83×0.59+0.41×1.59-0.324×5.9
=4.83×0.59+0.41×(1+0.59)-0.324×5.9
=4.83×0.59+0.41×0.59-0.324×5.9+0.41
=0.59×(4.83+0.41-3.24)+0.41
=0.59×2+0.41
=1.59

(1)199.9×19.98-199.8×19.96+199.8×0.001
=199.8×0.01
(2)4.83×0.59+0.41×0.59-0.324×5.9+0.41
=5.24×0.59-0.324×5.9+0.41

(1)原式=(199.8+0.1)×(19.97+0.01)-199.8×19.97
=199.9×19.97+199.8×0.01+19.97×0.1+0.1×0.01-199.81×9.97
=1.998+1.997+0.001
=3.996
(2)原式=4.830×.59+0.41×(1+0.59)-3.24×0.59
=4.83×0.59+0.41×0.59+0.41-3.24×0.59
=(4.83+0.41-3.24)×0.59+0.41
=2×0.59+0.41
=1.18+0.41
=1.59