A = 4000 x 4000
B = 3998 x 4002
Không tính , hãy so sánh :
A = 4000 x 4000
B = 3998 x 4002
A=4000x4000
B=3998x4002
= (4000-2)x(4000+2)
= 4000x4000+4000x2-2x4000-2x2
= 4000x4000+8000-8000-4
= 4000x4000-4
Ta thấy:
A= 4000x4000
B= 4000x4000-4
=> A>B.
Ủng hộ nhé.
\(A=4000.4000\)\(=\left(3998+2\right).4000=3998.4000+8000\)
\(B=3998.4002=3998.\left(4000+2\right)\)\(=3998.4000+7996\)
Vì \(8000>7996\) nên \(A>B\)
Nhớ nha các bạn
Rút gọn: 4000/1+3999/2+3998/3+...+1/4000 / 1/2+1/3+1/4+...+1/4001
A=[(3999/2+1)+(3998/3+1)+...+(1/4000+1)+1]/(1/2+1/3+...+1/4001)
A=(4001/2+4001/3+...+4001/4001)/(1/2+1/3+...+1/4001)
A=[4001(1/2+1/3+...+1/4001)]/(1/2+1/3+...+1/4001)
A=4001
Vậy A=4001
4000:3000+4001:2999+4002:2998+...+6000:1000
1) Tính A/B biết:
A = 4000/1+3999/2+3998/3+...+1/4000
B = 1/2+1/3+1/4+...+1/4001
2) So sánh
A=(2014/2015)+(2015/2014) ; B=666665/333333
! ) A = (3999 /2 +1 ) + ( 3998/ 3 + 1 ) + ( 3997 / 4 + 1 ) +...+ ( 1/ 4000 + 1 ) + 1
(Ta lấy 4000/1 = 4000 rải đều 1, 1 ,1 cho 3999 phân số và dư lại 1 = 4001/4001 )
= 4001 /2 + 4001 / 3 + 4001 /4 + ...+ 4001 /4000 + 4001 / 4001
= 4001 ( 1/2 + 1/3 + 1/4 +..+ 1/ 4001 ) vay A: B = 4001
\(y=\frac{\frac{4000}{1}+\frac{3999}{2}+\frac{3998}{3}+...+\frac{1}{4000}}{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{4001}}=?\)
Đặt A=\(\frac{4000}{1}+\frac{3999}{2}+\frac{3998}{3}+........+\frac{1}{4000}\)
A=\(1+\left(1+\frac{3999}{2}\right)+\left(1+\frac{3998}{3}\right)+........+\left(1+\frac{1}{4000}\right)\)
A=\(\frac{4001}{4001}+\frac{4001}{2}+\frac{4001}{3}+...........+\frac{4001}{4000}\)
A=\(4001.\left(\frac{1}{2}+\frac{1}{3}+........+\frac{1}{4000}+\frac{1}{4001}\right)\)
=>\(y=\frac{4001.\left(\frac{1}{2}+\frac{1}{3}+........+\frac{1}{4001}\right)}{\frac{1}{2}+\frac{1}{3}+.........+\frac{1}{4001}}\)
=>\(y=4001\)
\(\frac{\frac{4000}{1}+\frac{3999}{2}+\frac{3998}{3}+...+\frac{1}{4000}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{4001}}\)=?
Rút gọn
\(B=\frac{\frac{4000}{1}+\frac{3999}{2}+\frac{3998}{3}+...+\frac{1}{4000}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{4001}}\)
Tìm x
X x 2 = 3998
Tìm x
X x 2 = 3998