99999999-9999999999+9999999999=
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9 . 1 + 9. 11 + 9.111 + 9.1111 + 9.11111 + 9.111111 + 9.1111111 + 9.11111111 + 9.111111111 + 9.1111111111
= (10-1) + (100 -1) + (1000-1) + (10000-1) + ............+ (10000000000-1)
= ( 10+100+1000+10000+..........+10000000000) - (1+1+1+1+..........+1+1)
=11111111110 - 1.10
=1111111100
= (10-1) + (100 -1) + (1000-1) + (10000-1) + ............+ (10000000000-1)
= ( 10+100+1000+10000+..........+10000000000) - (1+1+1+1+..........+1+1)
=11111111110 - 1.10
=1111111100
\(A=\frac{\text{9999999999}}{2}-\frac{\text{9999999999}}{3}-\frac{\text{9999999999}}{6}\)
\(A=\text{9999999999}\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
\(A=\text{9999999999}.0\)
\(A=0\)
Vậy A = B
A = 0 nhé bạn tôi thề là đúng luôn
bạn ko cần cảm ơn đâu cho 1 k là ok
Nhân xét biểu thức A, ta thấy:
\(\frac{9999999999}{2}>\frac{9999999999}{3}>\frac{9999999999}{6}>0\)
=> \(A>0\left(đpcm\right)\)
ta có 9999999999/2=9999999999*3/2*3
9999999999/3=9999999999*2/3*2
suy ra 9999999999*3/2*3 - 9999999999*2/3*2=9999999999*3-9999999999*2/6=9999999999/6
suy ra A=9999999999/6-9999999999/6=0
vậy A=0
99 999 999-9 999 999 999+9 999 999 999=99 999 999