Tính nhanh :
\(\left(13\frac{9}{11}:\frac{38}{49}-5\frac{2}{11}:\frac{38}{49}\right):\left(\frac{49}{38}.\frac{5}{11}\right)\)
Tính nhanh :
\(\left(13\frac{9}{11}:\frac{38}{49}-5\frac{2}{11}:\frac{38}{49}\right):\left(\frac{49}{38}.\frac{5}{11}\right)\)
Mình làm thử, không biết có sai không, nếu sai thì cho mình đáp án rút kinh nghiệm nhé:
\(\left(13\frac{9}{11}:\frac{38}{49}-5\frac{2}{11}:\frac{38}{49}\right):\left(\frac{49}{38}.\frac{5}{11}\right)\)
\(=\left(\frac{152}{11}:\frac{38}{49}-\frac{57}{11}:\frac{38}{49}\right):\left(\frac{49}{38}.\frac{5}{11}\right)\)
\(=\left(\frac{196}{11}-\frac{147}{22}\right):\frac{245}{418}\)
\(=\frac{245}{22}:\frac{245}{418}=19\)
\(\left(13\frac{9}{11}:\frac{38}{49}-5\frac{2}{11}:\frac{38}{49}\right):\left(\frac{49}{38}.\frac{5}{11}\right)\)=?
=\(\left(13\frac{9}{11}.\frac{49}{38}-5\frac{2}{11}.\frac{49}{38}\right).\left(\frac{38}{49}.\frac{11}{5}\right)\)
= \(\left(13\frac{9}{11}-5\frac{2}{11}\right).\frac{49}{38}.\frac{38}{49}.\frac{11}{5}\) = \(\left(13+\frac{9}{11}-5-\frac{2}{11}\right).\frac{11}{5}\)
= \(\left(8+\frac{7}{11}\right).\frac{11}{5}\)= \(\frac{95}{11}.\frac{11}{5}=19\)
\(\left(13\frac{9}{11}:\frac{38}{49}-5\frac{2}{11}:\frac{38}{49}\right):\left(\frac{49}{38}.\frac{5}{11}\right)\)
\(=\left(\frac{152}{11}:\frac{38}{49}-\frac{57}{11}:\frac{38}{49}\right):\left(\frac{49}{38}.\frac{5}{11}\right)\)
\(=\left(\frac{196}{11}-\frac{147}{22}\right):\frac{245}{418}=\frac{245}{22}:\frac{245}{418}=19\)
\(\left(13\frac{9}{11}:\frac{38}{49}-5\frac{2}{11}:\frac{38}{49}\right):\left(\frac{49}{38}.\frac{5}{11}\right)\)
Cho các số thực a, b, c thỏa mãn \(a^{\log_37}=27;b^{\log_711}=49;c^{\log_{11}25}=\sqrt{11}\)
Tính : \(a^{\left(\log_37\right)^2}+b^{\left(\log_711\right)^2}+c^{\left(\log_{11}25\right)^2}\)
Ta có : \(\left(a^{\log_37}\right)^{\log_37}+\left(b^{\log_711}\right)^{\log_711}+\left(c^{\log_{11}25}\right)^{\log_{11}25}=27^{^{\log_37}}+49^{^{\log_711}}+\left(\sqrt{11}\right)^{^{\log_{11}25}}\)
\(=7^3+11^2+25^{\frac{1}{2}}=469\)
Chứng minh đẳng thức sau \(\left(5x-11\right)^2+\left(4-5x\:\right)^2+2\left(5x\:-11\right)\left(4-5x\:\right)=49\)
Ta có (5x-11)2+(4-5x)2+2(5x-11)(4-5x)
=25x2-110x+121+16-40x+25x2+40x-50x2- 88+110x
=16-88+121
=49(đpcm)
TK MK NHA BN
a) A=\(\left(\frac{-5}{11}\right).\frac{7}{15}.\left(\frac{11}{-5}\right).\left(-30\right)\)
b) B=\(\left(-\frac{1}{6}\right).\left(\frac{-15}{19}\right).\left(\frac{38}{45}\right)\)
c) C= \(\left(\frac{-5}{9}\right).\frac{3}{11}+\left(\frac{-13}{18}\right).\frac{3}{11}\)
d) D= \(\left(2\frac{2}{15}.\frac{9}{17}.\frac{3}{32}\right):\left(\frac{-3}{27}\right)\)
Tính nhanh
a) \(5-\left(1997-2005\right)+1997\)
b) \(1579-\left(53+1579\right)-\left(-53\right)\)
c) \(-48-\left(357-48\right)+300\)
d) \(173-\left(36+173\right)+[\left(175-27\right)-175-(-36+50)]\)
e) \(-[-171+\left(171+23\right)]-[172-\left(38+172\right)]-49\)
Giúp mik vs ạ
Bài 3: Tính hợp lí các giá trị biểu thức sau
A= \(49\dfrac{8}{23}=-\left(5\dfrac{7}{32}+14\dfrac{8}{23}\right)\)
B=\(71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{57}\right)\)
a: \(A=49+\dfrac{8}{23}-14-\dfrac{8}{23}-5-\dfrac{7}{32}=30-\dfrac{7}{32}=\dfrac{953}{32}\)
b:
Sửa đề: \(B=71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{51}\right)\)
\(B=71+\dfrac{38}{45}-43-\dfrac{8}{45}+1+\dfrac{17}{51}\)
\(=71-43+1+1\)
=28+2=30
Bài 3: Tính hợp lí các giá trị biểu thức sau:
A=\(49\dfrac{8}{23}-\left(5\dfrac{7}{32}+14\dfrac{8}{23}\right)\)
B=\(71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{57}\right)\)
a: \(A=49+\dfrac{8}{23}-14-\dfrac{8}{23}-5-\dfrac{7}{32}=30-\dfrac{7}{32}=\dfrac{953}{32}\)
b:
Sửa đề: \(B=71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{51}\right)\)
\(B=71+\dfrac{38}{45}-43-\dfrac{8}{45}+1+\dfrac{17}{51}\)
\(=71-43+1+1\)
=28+2=30
Tính nhanh
a) \(5-\left(1997-2005\right)+1997\)
b) \(1579-\left(53+1579\right)-\left(-53\right)\)
c) \(-48-\left(357-48\right)+300\)
d) \(173-\left(36+173\right)+\left[\left(175-27\right)-175-\left(-36+50\right)\right]\)
e) \(-\left[-171+\left(171+23\right)\right]-\left[172-\left(38+172\right)\right]-49\)
Làm ơn giúp mik vs ạ mik đag cần gấp!
\(5-\left(1997-2005\right)+1997\)
\(=5-1997+2005+1997\)
\(=2010\)
\(1579-\left(53+1579\right)-\left(-53\right)\)
\(=1579-53-1579+53\)
\(=0\)
\(-48-\left(357-48\right)+300\)
\(=\)\(-48-357+48+300\)
\(=-57\)
\(173-\left(36+173\right)+\left(175-27\right)-175-\left(-36+50\right)\)
\(=173-36-173+175-27-175+36-50\)
\(=-27-50\)
\(=-77\)
\(\)
\(-\left[-171+171+23\right]-\left[172-\left(38+172\right)\right]-49\)
\(=171-171-23-172+38+172-49\)
\(=-23+38-49=-34\)