Tính nhanh
1. 10012
2. 29,9 * 30,1
tính nhanh
a) 1001^2
b)29,9 . 30,1
c) ( 31,8 )^2 - 63,6 . 21,8 + ( 21,8 )^2
d)( 25,7 )^2 + ( 14,3 )^2 + 28,6 . 25,7
Tính nhanh:
a) 1001^2
b) 29,9 . 30,1
c) 199^2
d) 84^2 - 16^2
e) 313^2 - 312^2
f) 47 . 53
Giúp mik vs! mik cần gấp lắmmm !!!
Mik cám ơn
a)1001^2=(1000+1)^2=1000^2+2000+1^2=1000000+2001=1002001
b)=(30-0.1)*(30+0.1)=30^2-1^2=900-1=899
c)=(200-1)^2=200^2-400+1^2=40000-401=39599
d)=(84-16)*(84+16)=68*100=6800
e)=(313-312)*(313+312)=1*625=625
f)=(50-3)*(50+3)=50^2-3^2=550-9=541
Chúc bạn học tốt!
Tính nhanh
a) 10012
b) 29,9 x 30,1
c) (31,8)2 - 2 x 31,8 x 21,8 +(21,8)2
d) 32 - 54 + 18 - 42
GIÚP MÌNH NHA MK ĐANG CẦN GẤP Ạ !!!!
a) \(1001^2=\left(1000+1\right)^2=1000^2+2.1000.1+1^2=1002001\)
b) \(29,9\times30,1=\left(30-0,1\right).\left(30+0,1\right)=30^2-\left(0,1\right)^2=899,99\)
c) \(\left(31,8\right)^2-2.31,8.21,8+\left(21,8\right)^2=\left(31,8-21,8\right)^2=10^2=100\)
tinh nhanh
a)10012 b)29,9 . 30,1 c)(31,8)2-2.31,8.21,8+(21,8)2
a) 10012 = 1002001
b) 29,9 . 30,1 = 899,99
c) (31,8 )2 - 2 . 31,8 . 21,8 + (21,8 )2 = 100
tính nhanh
1/2x3/4x5/6x...x999/1000
Tính nhanh
1+2+3+4+...+19=...
GIÚP EM VỚI
Tính nhanh
1/3.2/7+1/3.4/7+1/3:7
\(\dfrac{1}{3}\left(\dfrac{2}{7}+\dfrac{4}{7}+\dfrac{1}{7}\right)=\dfrac{1}{3}\times1=\dfrac{1}{3}\)
Đề ra: Tính nhanh
1/12+1/20+1/30+.............+1/9702
Ta có: \(\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+...+\dfrac{1}{9702}\)
\(=\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+...+\dfrac{1}{98\cdot99}\)
\(=\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+...+\dfrac{1}{98}-\dfrac{1}{99}\)
\(=\dfrac{1}{3}-\dfrac{1}{99}\)
\(=\dfrac{32}{99}\)
Giải:
1/12+1/20+1/30+...+1/9702
=1/3.4+1/4.5+1/5.6+...+1/98.99
=1/3-1/4+1/4-1/5+1/5-1/6+...+1/98-1/99
=1/3-1/99
=32/99
Chúc bạn học tốt!
Ta sử dụng t/c sau:
`1/(a(a+1))=1/a-1/(a+1)`
`=>1/12+1/20+1/30+...+1/9072`
`=1/(3.4)+1/(4.5)+....+1/(98.99)`
`=1/3-1/4+1/4-1/5+....+1/98-1/99`
`=1/3-1/99`
`=32/99`
tính nhanh
1/6x7+1/7x8+1/8x9+1/9x10+1/10x11
=1/6-1/7+1/7-1/8+1/8-1/9+...+1/10-1/11
=1/6-1/11=5/66