运用完全平方公式计算: (1)632; (2)982; (3)700.12; (4)499.92.
问题描述:
运用完全平方公式计算:
(1)632;
(2)982;
(3)700.12;
(4)499.92.
答
(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.