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Ta có:

\(444^{555}=\left(111.4\right)^{555}=111^{555}.4^{555}=111^{555}.\left(4^5\right)^{111}=111^{555}.1024^{111}\)

\(555^{444}=\left(111.5\right)^{444}=111^{444}.5^{444}=111^{444}.\left(5^4\right)^{111}=111^{444}.625^{111}\)

Vì \(111^{555}.1024^{111}>111^{444}.625^{111}\) nên \(444^{555}>555^{444}\)

Vậy \(444^{555}>555^{444}\)

Hãy ôn lại kiến thức phần nâng cao lớp 6:

444⁵⁵⁵=(444⁵)¹¹¹= (4⁵.111⁵)¹¹¹=...

555⁴⁴⁴=(555⁴)¹¹¹= (5⁴.111⁴)¹¹¹=...

Chúc bạn học ngày một vươn xa nhé!

444^555 = (111.4)^(111.5) = (111^5.4^5)^111 = (111^5.1024)^111

555^444 = (111.5)^(111.4) = (111^4.5^4)^111 = (111^4.625)^111

Vì 111^5.1024 > 111^4.625 nên (111^5.1024).111 > (111^4.625).111 hay nói cách khác 444^555 > 555^444

 444^555 = (444^5)^111 = (111^5.4^5)^111. 
555^444 = (555^4)^111 = (111^4.5^4)^111. 
Do 111^5 > 111^4 va 4^5 > 5^4 nen 111^5.4^5 > 111^4.5^4

\(\dfrac{555}{1110};\dfrac{333}{444};\dfrac{444}{555};\dfrac{118}{119};\dfrac{119}{120}\)

\(\dfrac{444}{555}\) = \(\dfrac{444:111}{555:111}\) = \(\dfrac{4}{5}\) = 1 - \(\dfrac{1}{5}\)

\(\dfrac{333}{444}\) = \(\dfrac{333:111}{444:111}\) = \(\dfrac{3}{4}\) = 1 - \(\dfrac{1}{4}\)

                   \(\dfrac{118}{119}\)        = 1 -  \(\dfrac{1}{119}\)

                    \(\dfrac{119}{120}\)      = 1 - \(\dfrac{1}{120}\)

\(\dfrac{555}{1110}\) = \(\dfrac{555:555}{1110:555}\) = \(\dfrac{1}{2}\) = 1 - \(\dfrac{1}{2}\)

Vì : \(\dfrac{1}{2}>\dfrac{1}{3}>\dfrac{1}{4}>\) \(\dfrac{1}{119}\) > \(\dfrac{1}{120}\)

 nên \(\dfrac{555}{1110}>\dfrac{333}{444}>\)\(\dfrac{444}{555}\) > \(\dfrac{118}{119}\) > \(\dfrac{119}{120}\)

Vậy Các phân số đã cho được sắp xếp theo thứ tự từ bé đến lớn là:

          \(\dfrac{555}{1110}\);   \(\dfrac{333}{444}\); \(\dfrac{444}{555}\); \(\dfrac{118}{119}\);  \(\dfrac{119}{120}\)

333-222=111
111+444=555
555-555=0
0+666=666
hc tốttttttttttt

\(333-222=111\)

\(555-555=0\)

\(111+444=555\)

\(0+666=666\)

333-222=111
111+444=555
555-555=0
0+666=666
hc tốt nha em ^_^

(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2.................999 x 2 x 2 x 2 ?

A.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 > 999 x 2 x 2 x 2 = 9990 > 7992

B.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 < 999 x 2 x 2 x 2 = 9990 < 7992

C.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 = 999 x 2 x 2 x 2 = 9990 = 7992

Đáp án A nhé

(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2.................999 x 2 x 2 x 2 ?

A.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 > 999 x 2 x 2 x 2 = 9990 > 7992

B.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 < 999 x 2 x 2 x 2 = 9990 < 7992

C.(111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999)x 2 = 999 x 2 x 2 x 2 = 9990 = 7992

333 + 444 = 777

555 + 444 = 999

ủng hộ mk nhé

333 + 444 = 777

555 + 444 = 999

333+444=777

555+444=999