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Ghét 
1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
1+2+3+4+5+6+7+8+9+10+11+12+13+14 +15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30-50-53=362
\(1+2+3+4+5+6+7+8+9+10=55\)
\(11+12+13+14+15+16+17+18+19+20=155\)
Bài 1:
5; (-23) + 105
= 105 - 23
= 82
6; 78 + (-123)
= 78 - 123
= - (123 - 78)
= - 45
bài1
1)2763 + 152 = 2915
2)-7 +(-14)
=-(14 +7)
=-21
ĐỀ 2:
1/ Tính:
a/ (– 18) +(– 16)
=-(18+16)
=-34
d/ ( – 5).6 + 36 : (– 9) – 7
=-30+(-4)-7
=-34-7
=-41
b/ 7 – 15 + ( – 10)
=-8+(-10)
=-18
e/ 4.(–3)2 – 7 – 57
có ghi thiếu dấu ko e
c/ 24: 2 – 2 9
=12-18
=-6
2/Tìm x:
a/ x – 12 = – 5
x=-5+(-12)
x=-17
b/ (x – 4) : 3 = (– 8)
x – 4=-8.3
x-4=-24
x=-24+4
x=-20
c/ (–9) – 3x = 12
3x=(-9)-12
3x=-21
x=-21:3
x=-7
d/ 9 x 10
ko hiểu e ơi
3/ Tìm số nguyên x sao cho:
(x – 3) ⋮ ( x + 8)
\(\Rightarrow\)(x+8)-11\(⋮\)(x+8)
\(\Rightarrow\)11\(⋮\)x+8
\(\Rightarrow\)x+8\(\in\)Ư(11)=\(\left\{\pm1;\pm11\right\}\)
lập bang
| x+8 | 1 | -1 | 11 | -11 |
| x | -7 | -9 | 3 | -19 |
Đề 3:
a/(–14) + 5=-9
c/ 5.( – 4) + 28 : (– 7) – 8
=-20+(-4)-8
=-24-8
=-32
b/ 18 – 24 + (–17)
=-6+(-17)
=-23
d/ (–2)3 + 9 – 25
=-8+9-25
=1-25
=-24
2/Tìm x:
a/ x – 14 = (– 8)
x=-8+14
x=6
b/ 30:(5 + x) =(–10)
5 + x=30:(-10)
5+x=-3
x=-3-5
x=-8
c/ 18 – 4x = 34
4x=18-34
4x=-16
x=-16:4
x=-4
d/ x 3 5
e/ (x – 2)2 – 2 = 7
(x – 2)2=7+2
(x – 2)2=9
(x – 2)2=32
x-2=3
x=3+2
x=5
3/Tính hợp lý: A= 1– 4 + 7 – 10 + …. + 103 – 106 + 109.
A = (1– 4 )+ (7 – 10) + …. +( 103 – 106) + 109.
A=-3+(-3)+.......+(-3)+109
A=-3.[(106-1):3+1]:2+109
A=-3.18+109
A=-54+109
A=55
ĐỀ 4:
1/ Tính:
a/19 + ( –26)=19-26=-7(cái này lm tắt cs dc, nhưng thi thì ko dc)
c/ ( – 12) . 3 + (–49) : 7 –16
=-26+(-7)-16
=-33-16
=-49
b/ 8 –(– 12) +(– 22)
=8+12-22
=20-22
=-2
d/ (–1) 5 + 18 – 23
=-1+18-23
=17-23
=-6
2/Tìm x:
a/20 – x = 25
x=20-25
x=-5
b/( x –15).( –6 )= 18
x-15=18:(-6)
x-15=-3
x=-3+15
x=12
c/ 24 + 3x = 12
3x=12-24
3x=-12
x=-12:3
x=-4
d/ x 4 9
e/ ( 12 – x)2 + 3= 39
( 12 – x)2=39-3
( 12 – x)2=36
( 12 – x)2=62
12-x=6
x=12-6
x=6
3/Tính hợp lý: A = 1– 6 + 11 – 16 + …. + 121 – 126 + 131
A = (1– 6) + (11 – 16 )+ …. +( 121 – 126 )+ 131.
A=-5+(-5)+......+(-5)+131
A=-5.[(126-1):5+1]:2+131
A=-5.13+131
A=-65+131
A=66
mệt quá, trong bài tính toán có sai sót mong e thông cảm, đề 5 e tự lm nha
Bài 1:
a; \(\dfrac{5}{18}\) + \(\dfrac{8}{19}\) - \(\dfrac{7}{21}\) + (- \(\dfrac{10}{36}\) + \(\dfrac{11}{19}\) + \(\dfrac{1}{3}\)) - \(\dfrac{5}{8}\)
= \(\dfrac{5}{18}\) + \(\dfrac{8}{19}\) - \(\dfrac{1}{3}\) -\(\dfrac{10}{36}\) + \(\dfrac{11}{19}\) + \(\dfrac{1}{3}\) - \(\dfrac{5}{8}\)
= (\(\dfrac{5}{18}\) - \(\dfrac{10}{36}\)) + (\(\dfrac{8}{19}\) + \(\dfrac{11}{19}\)) - (\(\dfrac{1}{3}\) - \(\dfrac{1}{3}\)) - \(\dfrac{5}{8}\)
= (\(\dfrac{5}{18}\) - \(\dfrac{5}{18}\)) + \(\dfrac{19}{19}\) - 0 - \(\dfrac{5}{8}\)
= 0 + 1 - \(\dfrac{5}{8}\)
= \(\dfrac{3}{8}\)
b; \(\dfrac{1}{13}\) + (\(\dfrac{-5}{18}\) - \(\dfrac{1}{13}\) + \(\dfrac{12}{17}\)) - (\(\dfrac{12}{17}\) - \(\dfrac{5}{18}\) + \(\dfrac{7}{5}\))
= \(\dfrac{1}{13}\) - \(\dfrac{5}{18}\) - \(\dfrac{1}{13}\) + \(\dfrac{12}{17}\) - \(\dfrac{12}{17}\) + \(\dfrac{5}{18}\) - \(\dfrac{7}{5}\)
= (\(\dfrac{1}{13}\) - \(\dfrac{1}{13}\)) + (\(\dfrac{12}{17}\) - \(\dfrac{12}{17}\)) + (-\(\dfrac{5}{18}\) + \(\dfrac{5}{18}\)) - \(\dfrac{7}{5}\)
= 0 + 0 + 0 - \(\dfrac{7}{5}\)
= - \(\dfrac{7}{5}\)
Bài 1 c;
\(\dfrac{15}{14}\) - (\(\dfrac{17}{23}\) - \(\dfrac{80}{87}\) + \(\dfrac{5}{4}\)) + (\(\dfrac{17}{23}\) - \(\dfrac{15}{14}\) + \(\dfrac{1}{4}\))
= \(\dfrac{15}{14}\) - \(\dfrac{17}{23}\) + \(\dfrac{80}{87}\) - \(\dfrac{5}{4}\) + \(\dfrac{17}{23}\) - \(\dfrac{15}{14}\) + \(\dfrac{1}{4}\)
= (\(\dfrac{15}{14}-\dfrac{15}{14}\)) + (\(-\dfrac{17}{23}+\dfrac{17}{23}\)) - (\(\dfrac{5}{4}\) - \(\dfrac{1}{4}\)) + \(\dfrac{80}{87}\)
= 0 + 0 - 1 + \(\dfrac{80}{87}\)
= - \(\dfrac{7}{87}\)
Bài 46:
11: Ta có: \(-4\left|x-2\right|=-8\)
\(\Leftrightarrow\left|x-2\right|=2\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=2\\x-2=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=0\end{matrix}\right.\)
Vậy: x∈{0;4}
12: Ta có: \(5\left|x+2\right|=-10\cdot\left(-2\right)\)
\(\Leftrightarrow5\left|x+2\right|=20\)
\(\Leftrightarrow\left|x+2\right|=4\)
\(\Leftrightarrow\left[{}\begin{matrix}x+2=4\\x+2=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-6\end{matrix}\right.\)
Vậy: x∈{-6;2}
13: Ta có: \(6\left|x-2\right|=18:\left(-3\right)\)
\(\Leftrightarrow6\left|x-2\right|=-6\)(1)
Ta có: \(\left|x-2\right|\ge0\forall x\)
\(\Rightarrow6\left|x-2\right|\ge0\forall x\)(2)
Ta có: -6<0(3)
Từ (1), (2) và (3) suy ra x∈∅
Vậy: x∈∅
14: Ta có:\(-7\left|x+4\right|=21:\left(-3\right)\)
\(\Leftrightarrow-7\left|x+4\right|=-7\)
\(\Leftrightarrow\left|x+4\right|=1\)
\(\Leftrightarrow\left[{}\begin{matrix}x+4=1\\x+4=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-5\end{matrix}\right.\)
Vậy: x∈{-5;-3}
15: Ta có: \(4\left|x+1\right|=8\left(-2\right)-8\left(-5\right)\)
\(\Leftrightarrow4\left|x+1\right|=-16-\left(-40\right)\)
\(\Leftrightarrow4\left|x+1\right|=24\)
\(\Leftrightarrow\left|x+1\right|=6\)
\(\Leftrightarrow\left[{}\begin{matrix}x+1=6\\x+1=-6\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-7\end{matrix}\right.\)
Vậy: x∈{-7;5}
16: Ta có: \(3\left|x+5\right|=-9\)(4)
Ta có: |x+5|≥0∀x
⇒3|x+5|≥0∀x(5)
Ta có: -9<0(6)
Từ (4), (5) và (6) suy ra x∈∅
Vậy: x∈∅
17: Ta có: \(-8\left|x-3\right|=24-16:2\)
\(\Leftrightarrow-8\left|x-3\right|=16\)
\(\Leftrightarrow\left|x-3\right|=-2\)
mà |x-3|≥0>-2∀x
nên x∈∅
Vậy: x∈∅
18: Ta có: \(-3\left|x+6\right|=6\cdot2-9\)
\(\Leftrightarrow-3\left|x+6\right|=3\)
\(\Leftrightarrow\left|x+6\right|=-1\)
mà |x+6|≥0>-1∀x
nên x∈∅
Vậy: x∈∅
19: Ta có: \(5-\left|x+7\right|=4\)
\(\Leftrightarrow\left|x+7\right|=1\)
\(\Leftrightarrow\left[{}\begin{matrix}x+7=-1\\x+7=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-8\\x=-6\end{matrix}\right.\)
Vậy: x∈{-8;-6}
20: Ta có: \(12-\left|x+8\right|=10\)
\(\Leftrightarrow\left|x+8\right|=2\)
\(\Leftrightarrow\left[{}\begin{matrix}x+8=2\\x+8=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-6\\x=-10\end{matrix}\right.\)
Vậy: x∈{-10;-6}
A = - 1 + 3 - 5 + 7 - 9 + 11 - 13 + 15 - 17
A = (-1 + 11) + (3 - 13) + (7- 17) + (-5 + 15) - 9
= - 10 + 10 - 10 + 10 - 9
= (-10 + 10) + (-10 + 10) - 9
= 0 + 0 - 9
= - 9
B = 1+2-3-4+5+6-7-8+9+10-11-12+13+14-15-16+17+18-19-20
B =(1+2-3-4)+(5+6-7-8)+(9+10-11-12)+(13+14-15-16)+(17+18-19-20)
B = -4+ (-4) + (-4) + (-4) + (-4)
B = -4 x 5
B = -20