4*7*76+28*24
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![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt A=\(\dfrac{4^2}{20.24}+\dfrac{4^2}{24.28}+...+\dfrac{4^2}{76.80}\)
A=\(\dfrac{16}{20.24}+\dfrac{16}{24.28}+...+\dfrac{16}{76.80}\)
A=4.[\(\dfrac{4}{20.24}+\dfrac{4}{24.28}+...+\dfrac{4}{76.80}\)]
A=4.\(\left[\dfrac{1}{20}-\dfrac{1}{24}+\dfrac{1}{24}-\dfrac{1}{28}+...+\dfrac{1}{76}-\dfrac{1}{80}\right]\)
A=4.\(\left[\dfrac{1}{20}+\dfrac{1}{24}-\dfrac{1}{24}+\dfrac{1}{28}-\dfrac{1}{28}+...+\dfrac{1}{78}-\dfrac{1}{78}-\dfrac{1}{80}\right]\)
A=4.\(\left[\dfrac{1}{20}-\dfrac{1}{80}\right]\)
A=4.\(\dfrac{3}{80}\)
A=\(\dfrac{3}{20}\)<1
=>A<1
Tick mink nha
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(\frac{4^2}{20.24}+\frac{4^2}{24.28}+...+\frac{4^2}{76.80}\)
\(=4.\left(\frac{4}{20.24}+\frac{4}{24.28}+...+\frac{4}{76.80}\right)\)
\(=4.\left(\frac{1}{20}-\frac{1}{24}+\frac{1}{24}-\frac{1}{28}+...+\frac{1}{76}-\frac{1}{80}\right)\)
\(=4.\left(\frac{1}{20}-\frac{1}{80}\right)=4.\frac{3}{80}=\frac{3}{20}< 1\)
Vậy \(\frac{4^2}{20.24}+\frac{4^2}{24.28}+...+\frac{4^2}{76.80}< 1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
28 x 76 + 24 x 28 - 28 x 20
= 28 x (76 + 24 - 20)
= 28 x 80
= 2240
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : 28 . 76 + 24 . 28 - 28 . 20 = 28 . ( 76 + 24 - 20 )
= 28 . 80
= 2240
![](https://rs.olm.vn/images/avt/0.png?1311)
Học sinh nhẩm và ghi kết quả như sau:
35 : 5 = 7
28 : 7 = 4
24 : 6 = 4
21 : 3 = 7
35 : 7 = 5
28 : 4 = 7
24 : 4 = 6
21 : 7 = 3
35 : 5 = 7
28 : 7 = 4
24 : 6 = 4
21 : 3 = 7
35 : 7 = 5
28 : 4 = 7
24 : 4 = 6
21 : 7 = 3
![](https://rs.olm.vn/images/avt/0.png?1311)
Giải cho bạn 2 bài tìm x nhé! Bài kia dễ,tự giải
a) \(3^{x+2}-3^x=8.243\Leftrightarrow3^x.3^2-3^x=1944\)
\(\Leftrightarrow3^x\left(3^2-1\right)=1944\Leftrightarrow3^x.8=1944\)
\(\Leftrightarrow3^x=243=3^5\Leftrightarrow x=5\)
b) \(1+2+3+...+x=210\)
\(\Leftrightarrow\frac{x\left(x+1\right)}{2}=210\Leftrightarrow x\left(x+1\right)=420\)
\(\Leftrightarrow20\left(20+1\right)=420\Rightarrow x=20\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 57 + 28 = 85
24 + 67 = 91
46 + 39 = 85
b) 83 - 19 = 64
42 - 38 = 4
90 - 76 = 14
\(\begin{array}{*{20}{c}}{a)\,\,}\\{}\\{}\end{array}\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{57}\\{28}\end{array}}\\\hline{\,\,\,\,85}\end{array}\) \(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{24}\\{67}\end{array}}\\\hline{\,\,\,\,91}\end{array}\) \(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{46}\\{39}\end{array}}\\\hline{\,\,\,\,85}\end{array}\)
\(\begin{array}{*{20}{c}}{b)\,\,}\\{}\\{}\end{array}\begin{array}{*{20}{c}}{ - \begin{array}{*{20}{c}}{83}\\{19}\end{array}}\\\hline{\,\,\,\,64}\end{array}\) \(\begin{array}{*{20}{c}}{ - \begin{array}{*{20}{c}}{42}\\{38}\end{array}}\\\hline{\,\,\,\,04}\end{array}\) \(\begin{array}{*{20}{c}}{ - \begin{array}{*{20}{c}}{90}\\{76}\end{array}}\\\hline{\,\,\,\,14}\end{array}\)
4 x 7 x 76 + 28 x 24
= 28 x 76 + 28 x 24
= 28 x (76 + 24)
= 28 x 100
= 2800
\(4.7.76+28.24\)
\(=28.76+28.24\)
\(=28.\left(76+24\right)\)
\(=28.100\)
\(=2800\)