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1: \(B=\dfrac{1}{7}-\dfrac{1}{9}=\dfrac{2}{63}>\dfrac{1}{7\cdot9}=A\)
2: \(A=\dfrac{15}{301}< \dfrac{15}{300}=\dfrac{1}{20}=\dfrac{25}{500}< \dfrac{25}{499}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,A=\dfrac{1}{7.9}\) và \(B=\dfrac{1}{7}-\dfrac{1}{9}\)
\(\Leftrightarrow2A=\dfrac{2}{7.9}=\dfrac{1}{7}-\dfrac{1}{9}\)
Vì \(2A=B\left(=\dfrac{1}{7}-\dfrac{1}{9}\right)\)
\(\Leftrightarrow A< B\)
\(b,A=\dfrac{15}{301}\) và \(B=\dfrac{25}{499}\)
Ta thấy: \(\dfrac{15}{301}< \dfrac{15}{300}\) và \(\dfrac{25}{499}>\dfrac{25}{500}\)
\(\dfrac{15}{300}=\dfrac{1}{20}\) và \(\dfrac{25}{500}=\dfrac{1}{20}\)
Vì \(\dfrac{1}{20}=\dfrac{1}{20}\Leftrightarrow\dfrac{15}{300}=\dfrac{25}{500}\)
\(\Leftrightarrow\dfrac{15}{301}< \dfrac{1}{20}< \dfrac{25}{499}\)
\(\Leftrightarrow\dfrac{15}{301}< \dfrac{25}{499}\)
\(\Leftrightarrow A< B\)
\(c,A=\dfrac{5.6}{9.25}\) và \(B=\dfrac{18.4-18}{8.9+7.9}\)
\(A=\dfrac{5.6}{9.25}=\dfrac{1.2}{3.5}=\dfrac{2}{15}\)
\(B=\dfrac{18.4-18}{8.9+7.9}=\dfrac{18\left(4-1\right)}{9\left(8+7\right)}=\dfrac{18.3}{9.15}=\dfrac{2.1}{1.5}=\dfrac{2}{5}\)
Vì \(\dfrac{2}{15}< \dfrac{2}{5}\)
\(\Leftrightarrow A< B\)
Chúc bạn học tốt!
Là \(A< B\) mà. Cách trên khó hiểu chút. Theo cách này đi.
\(B=\dfrac{1}{7}-\dfrac{1}{9}\)
\(\Leftrightarrow B=\dfrac{2}{7.9}\)
Vì \(\dfrac{1}{7.9}< \dfrac{2}{7.9}\)
\(\Leftrightarrow A< B\)
![](https://rs.olm.vn/images/avt/0.png?1311)
k. \(\left(2x+\dfrac{3}{5}\right)\cdot2-\dfrac{9}{25}=0\\ \Leftrightarrow\left(2x+\dfrac{3}{5}\right)\cdot2=\dfrac{9}{25}\\ \Leftrightarrow2x+\dfrac{3}{5}=\dfrac{9}{50}\\ \Leftrightarrow2x=\dfrac{-21}{50}\\ \Leftrightarrow x=\dfrac{-21}{100}\)
l. \(3\left(3x-\dfrac{1}{2}\right)\cdot3+\dfrac{1}{9}=0\\ \Leftrightarrow\left(3x-\dfrac{1}{2}\right)\cdot9=-\dfrac{1}{9}\\ \Leftrightarrow3x-\dfrac{1}{2}=-\dfrac{1}{81}\\ \Leftrightarrow3x=\dfrac{79}{162}\\ \Leftrightarrow x=\dfrac{79}{486}\)
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a, 249 - 25 × 8 + 32 × 4
= 249 - 200 + 9 × 4
= 49 + 36
= 85
b,27 : { 480 : [(513 : 9 + 19 ) + 84 ]}
= 27 : { 480 : [(57 + 19) + 84 ]}
= 27 : { 480 : [76 + 84]}
= 27 : { 480 : 160}
= 27 : 3
= 9
c. 73 × 25 + 28 × 25 - 25
= 73 × 25 + 28 × 25 - 25 × 1
= 25 × (73 + 28 - 1)
= 25 × 100
= 2500
d. 2× 9 × 50 - 890
= (2 × 50) × 9 - 1
= 100 × 9 - 1
= 900 - 1
= 899
a)\(249-25\cdot8+3^2\cdot4\)
\(=249-200+9\cdot4\)
\(=49+36=85\)
b)\(27:\left\{480:\left[\left(513:9+19\right)+84\right]\right\}\)
\(=27:\left\{480:\left[\left(57+19\right)+84\right]\right\}\)
\(=27:\left\{480:\left[76+84\right]\right\}\)
\(=27:\left\{480:160\right\}\)
\(=27:3=9\)
c)\(73\cdot25+28\cdot25-25\)
\(=73\cdot25+28\cdot25-25\cdot1\)
\(=\left(73+28-1\right)\cdot25\)
\(=100\cdot25=2500\)
d)\(2\cdot9\cdot50-89^0\)
\(=2\cdot9\cdot50-1\)
\(=900-1=899\)
![](https://rs.olm.vn/images/avt/0.png?1311)
(2x+3/5)^2-9/25=0
<=> (2x+3/5)2 = 9/25
<=> 2x+3/5 = + 3/5
TH1 : 2x+3/5 = 3/5
<=> x =(3/5 -3/5 ) :2 =0
TH2 : 2x+3/5 = -3/5
<=> x = ( -3/5 -3/5) :2 = -3/5
3(3x-1)^3+1/9=0
<=> 3(3x-1)^3 = -1/9
<=> (3x-1)^3 = -1/9 :3 = -1/27
<=> 3x-1 = -1/3
<=> 3x = -1/3 +1 = 2/3
<=> x = 2/3 :3 =2/9