tính một cách hợp lí
c) 3 119 x 121 - 3 119 x 11 x 11
ghi các bước giúp mình nhé!
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Bài 1:
a) A = 210+211+212
=210*(1+21+22)
=210*(1+2+4)
=7*210 chia hết 7
Đpcm
b)7*32=244
=32+64+128
=25+26+27
1500 - { 53 . 23 - 11. [ 72 - 5.23 + 8..( 112 - 121 )]}
= 1500 - ( 5.2 )3 - 11. [ 49 - 40 + 8. 0 ]}
= 1500 - 103 - 11. 9
= 1500 - 1000 - 99
= 401
Chúc bn hc tốt <3
1500-{53.23-11.[72-5.23+8.(112-121)]}
= 1500-{125.8-11.[49-5.8+8.(121-121)]}
= 1500-{1000-11.[49-40+8.0]}
= 1500-{1000-11.[9+0]}
= 1500-{1000-11.9}
= 1500-{1000-99}
= 1500-901
= 599
Chúc bn học tốt! Kick cho mik nhé!
A=(6 : 35−116 x 67) : (415 x 1011+5211)A=(6 : 35−116 x 67) : (415 x 1011+5211)
A=(6 : 35−76 x 67) : (215 x 1011+5711)A=(6 : 35−76 x 67) : (215 x 1011+5711)
A=(10−1) : (4211+5711)A=(10−1) : (4211+5711)
A=9 : 9A=9 : 9
A=1
a,( 3/29 - 1/5 ) x 29/3
=(15/145-29/145)x29/3
=(-14/145)x29/3
=-406/435
=-14/15
b,4 x 11 x 3/4 x 9/121
=4 x 11 x 3x9/1x1x4x121
=1188/484
=59/242
k mk nha
A / ( 3/29 - 1/5 ) x 29/3 = -14/145 x 29/3 = -14/15 B/ 4 x 11 x 3/4 x 9/121 = (4 x 11) x ( 3/4 x 9/121 ) = 44 x 27/484 =27/11 xong rồi đó
dau . la nhan nha em
a) \(\left(\frac{3}{29}-\frac{1}{5}\right).\frac{29}{3}=\frac{29}{3}.\frac{3}{29}-\frac{1}{5}.\frac{29}{3}=1-\frac{29}{15}=\frac{-14}{15}\)
b)\(4.11.\frac{3}{4}.\frac{9}{121}\)
\(=\left(4.\frac{3}{4}\right).\left(11.\frac{9}{121}\right)\)
\(=3.\frac{9}{12}\)
\(=\frac{9}{4}=2\frac{1}{4}\)
a ) \(-\frac{3}{7}.\frac{3}{11}+-\frac{3}{7}.\frac{8}{11}+1\frac{3}{7}\)
\(=-\frac{3}{7}.\left(\frac{3}{11}+\frac{8}{11}\right)+\frac{10}{7}\)
\(=-\frac{3}{7}.\frac{11}{11}+\frac{10}{7}\)
\(=-\frac{3}{7}.1+\frac{10}{7}\)
\(=\frac{10}{7}\)
b ) \(75\%.10,5=\frac{3}{4}.10,5=7,875\)
c ) \(5-3.\left(\left|-4\right|-30:15\right)\)
\(=5-3.\left(4-2\right)\)
\(=5-3.2\)
\(=5-6\)
\(=-1\)
d ) \(-\frac{5}{7}.\frac{2}{11}+-\frac{5}{7}.\frac{9}{11}+1\frac{5}{7}\)
\(=-\frac{5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{12}{7}\)
\(=-\frac{5}{7}.1+\frac{12}{7}\)
\(=\frac{7}{7}\)
\(=1\)
Chúc bạn học tốt !!!
Dạng tổng quát: Với n là các số lẻ lớn hơn hoặc bằng 3 thì \(\frac{1}{n\sqrt{n-2}+\left(n-2\right)\sqrt{n}}=\frac{1}{\sqrt{n\left(n-2\right)}\left(\sqrt{n}+\sqrt{n-2}\right)}=\frac{1}{\sqrt{n\left(n-2\right)}.\frac{2}{\sqrt{n}-\sqrt{n-2}}}=\frac{\sqrt{n}-\sqrt{n-2}}{2\sqrt{n\left(n-2\right)}}=\frac{1}{2}\left(\frac{1}{\sqrt{n-2}}-\frac{1}{\sqrt{n}}\right)\)Áp dụng, ta được: \(C=\frac{1}{3\sqrt{1}+1\sqrt{3}}+\frac{1}{5\sqrt{3}+3\sqrt{5}}+...+\frac{1}{121\sqrt{119}+119\sqrt{121}}=\frac{1}{2}\left(\frac{1}{\sqrt{1}}-\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{3}}-\frac{1}{\sqrt{5}}+...+\frac{1}{\sqrt{119}}-\frac{1}{\sqrt{121}}\right)=\frac{1}{2}\left(1-\frac{1}{11}\right)=\frac{5}{11}\)Vậy C = 5/11
Xét :\(\frac{1}{\left(a+2\right)\sqrt{a}+a\sqrt{a+2}}=\frac{1}{\sqrt{a}.\sqrt{a+2}\left(\sqrt{a+2}+\sqrt{a}\right)}=\frac{\sqrt{a+2}-\sqrt{a}}{2\sqrt{a}.\sqrt{a+2}}=\frac{1}{2\sqrt{a}}-\frac{1}{2\sqrt{a+2}}\)
Xét:
\(C=\frac{1}{3\sqrt{1}+1\sqrt{3}}+\frac{1}{5\sqrt{3}+3\sqrt{5}}+...+\frac{1}{121\sqrt{119}+119\sqrt{121}}\)
\(=\frac{1}{2}-\frac{1}{2\sqrt{3}}+\frac{1}{2\sqrt{3}}-\frac{1}{2\sqrt{5}}+\frac{1}{2\sqrt{5}}-\frac{1}{2\sqrt{7}}+...+\frac{1}{2\sqrt{119}}-\frac{1}{2\sqrt{121}}\)
\(=\frac{1}{2}-\frac{1}{2\sqrt{121}}=\frac{1}{2}-\frac{1}{2.11}=\frac{5}{11}\)
`c, 3119 . 121 - 3119 . 11 . 11`
`= 3119 . 121 - 3119 . 121`
`= (3119 - 3119) . 121`
`= 0 . 121`
`= 0`