用二项式定理计算9.985,精确到1的近似值为( )
A.99000
B.99002
C.99004
D.99005
9.985=(10-0.02)5=105-C51•104×0.02+C52•103•0.022-C53•102•0.033+C54101•0.024-0.025
≈105-C51•104×0.02+C52•103•0.022=10000-1000+4=99004
故选C
用二项式定理计算9.985,精确到1的近似值为( )
A.99000
B.99002
C.99004
D.99005
9.985=(10-0.02)5=105-C51•104×0.02+C52•103•0.022-C53•102•0.033+C54101•0.024-0.025
≈105-C51•104×0.02+C52•103•0.022=10000-1000+4=99004
故选C