一道初二计算题!

来源:百度知道 编辑:UC知道 时间:2024/07/01 01:55:55
123^2-122×124-2^100×(-0.5)^98(简便计算)

=123^2-(123+1)(123-1)-2^(100)*2^(-98)
=123^2-123^2+1-2^2
=1-4
=-3

123^2-122×124-2^100×(-0.5)^98
=123^2-(123-1)×(123+1)-2^2×2^98×(-1/2)^98
=123^2-(123^2-1)-2^2×[2×(-1/2)]^98
=123^2-123^2+1-2^2×(-1)^98
=1-4
=-3

解答如下:
123^2-122×124-2^100×(-0.5)^98
=123^2-(123-1)×(123+1)-2^2×2^98×(-1/2)^98
=123^2-(123^2-1)-2^2×[2×(-1/2)]^98
=123^2-123^2+1-2^2×(-1)^98
=1-4
=-3

原式=123^2-(123-1)*(123+1)-2^100/2^98
=123^2-(123^2-1)-2^2
=1-4
=-3