运用完全平方公式计算:
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/11/06 04:43:58
运用完全平方公式计算:
(1)632;
(2)982;
(3)700.12;
(4)499.92.
(1)632;
(2)982;
(3)700.12;
(4)499.92.
(1)632=(60+3)2
=602+2×60×3+32
=3600+360+9
=3939;
(2)982
=(100-2)2
=1002-2×100×2+22
=10000-400+4
=9604;
(3)700.12
=(700+0.1)2
=7002+2×700×0.1+0.12
=490000+140+0.01
=490140.01;
(4)499.92
=(500-0.1)2
=5002-2×500×0.1+0.12
=250000-100+0.01
=249900.01.
=602+2×60×3+32
=3600+360+9
=3939;
(2)982
=(100-2)2
=1002-2×100×2+22
=10000-400+4
=9604;
(3)700.12
=(700+0.1)2
=7002+2×700×0.1+0.12
=490000+140+0.01
=490140.01;
(4)499.92
=(500-0.1)2
=5002-2×500×0.1+0.12
=250000-100+0.01
=249900.01.