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Bài 1
a) \(\dfrac{3}{8}+\dfrac{5}{8}=\dfrac{8}{8}=1\)
b) \(\dfrac{3}{4}+\dfrac{-7}{16}=\dfrac{12}{16}+\dfrac{-7}{16}=\dfrac{5}{16}\)
c) \(2\dfrac{17}{20}-\dfrac{1}{2}+3\dfrac{3}{20}=\dfrac{57}{20}-\dfrac{1}{2}+\dfrac{63}{20}\)\(=\dfrac{47}{20}+\dfrac{63}{20}=\dfrac{110}{20}=\dfrac{11}{2}\)
d) \(\dfrac{2}{3}-2\dfrac{1}{8}+\dfrac{7}{24}=\dfrac{2}{3}-\dfrac{17}{8}+\dfrac{7}{24}=\dfrac{16}{24}-\dfrac{51}{24}+\dfrac{7}{24}=\dfrac{16-51+7}{24}=\dfrac{-28}{24}=\dfrac{-7}{6}\)
Bài 2 :
a) \(x-\dfrac{7}{4}=3\)
\(x=3+\dfrac{7}{4}\)
\(x=\dfrac{19}{4}\)
b) \(x-\dfrac{1}{2}=\dfrac{4}{16}\cdot\dfrac{8}{3}\)
\(x-\dfrac{1}{2}=\dfrac{2}{3}\)
\(x=\dfrac{2}{3}+\dfrac{1}{2}\)
\(x=\dfrac{5}{6}\)
c) \(\dfrac{15}{11}\div x=\dfrac{45}{22}\)
\(x=\dfrac{15}{11}\div\dfrac{45}{22}\)
\(x=\dfrac{2}{3}\)
d) \(\dfrac{8}{3}-2x=\dfrac{8}{5}-1\)
\(\dfrac{8}{3}-2x=\dfrac{3}{5}\)
\(2x=\dfrac{8}{3}-\dfrac{3}{5}\)
\(2x=\dfrac{31}{15}\)
\(x=\dfrac{31}{15}\div2\)
\(x=\dfrac{31}{30}\)
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a: =-3/7-5/9+3/7=-5/9
b: \(=\dfrac{5}{7}\left(\dfrac{2}{11}+\dfrac{3}{11}-\dfrac{16}{11}\right)=\dfrac{-5}{7}\)
c: \(=\dfrac{5}{4}-\dfrac{1}{4}\cdot\dfrac{-16}{3}+1=\dfrac{9}{4}+\dfrac{4}{3}=\dfrac{43}{12}\)
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Bài 1
a) (-72) + 1435 + 72 + (-435)
= (-72 + 72) + (1435 - 435)
= 0 + 1000
= 1000
b) (-2)³.17.125.11
= [(-8).125].(17.11)
= -1000.187
= -187000
c) (-127) - 65 + 37 - 135 + 163
= -127 + (-65 - 135) + (37 + 163)
= -127 - 200 + 200
= -127
d) 18.11 - (-89).18 + 64.173 + (-64).73
= 18.(11 + 89) + 64.(173 - 73)
= 18.100 + 64.100
= 100.(18 + 64)
= 100.82
= 8200
e) Đặt E = (-2) + (-4) + (-6) + ... + (-408)
= -(2 + 4 + 6 + ... + 408)
= -41820
Số số hạng của E:
(408 - 2) : 2 + 1 = 204 (số)
E = -(408 + 2) . 204 : 2 =
Bài 2
a) 2³.(x + 5) - 3² = 4³ + 7
8.(x + 5) - 9 = 64 + 7
8(x + 5) - 9 = 71
8(x + 5) = 71 + 9
8(x + 5) = 80
x + 5 = 80 : 8
x + 5 = 10
x = 10 - 5
x = 5
b) 3672 : [121 - (x + 5)] = 36
121 - (x + 5) = 3672 : 36
121 - (x + 5) = 102
x + 5 = 121 - 102
x + 5 = 19
x = 19 - 5
x = 14
c) 119 - (2x - 1)² = 70
(2x - 1)² = 119 - 70
(2x - 1)² = 49
2x - 1 = 7 hoặc 2x - 1 = -7
*) 2x - 1 = 7
2x = 7 + 1
2x = 8
x = 8 : 2
x = 4
*) 2x - 1 = -7
2x = -7 + 1
2x = -6
x = -6 : 2
x = -3
Vậy x = -3; x = 4
d) 2ˣ⁺¹ + 2ˣ⁺³ + 2ˣ⁺⁵ = 168
2ˣ⁺¹.(1 + 2² + 2⁴) = 168
2ˣ⁺¹ .21 = 168
2ˣ⁺¹ = 168 : 21
2ˣ⁺¹ = 8
2ˣ⁺¹ = 2³
x + 1 = 3
x = 3 - 1
x = 2
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\(=\dfrac{3\left(0.2-\dfrac{1}{2020}+\dfrac{1}{91}-\dfrac{1}{2}\right)}{9\left(\dfrac{1}{91}+0.2-\dfrac{1}{2020}-\dfrac{1}{2}\right)}\cdot2022\)
=2022/3=674
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`@` `\text {Ans}`
`\downarrow`
`135 - 21.x = 72`
`\Rightarrow 21x = 135 - 72`
`\Rightarrow 21x = 63`
`\Rightarrow x = 63 \div 21`
`\Rightarrow x = 3`
Vậy, `x = 3.`
k: =17(85+15)-120
=1700-120
=1580