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a)5.4 – 18 : 9 b)17. (85 + 15) – 120
= 20 – 2 = 17.100 – 120
= 18 = 170 – 120
= 50
c)23.(17 - 14)
= 23.3
= 8.3
= 24
a) 5 . 2\(^2\) - 18 : 3
⇔ 5 . 4 - 18 : 3
⇔ 20 - 6
⇔ 14
b) 17 . 85 + 15 . 17 - 120
⇔ 17 . ( 85 + 15 ) - 120
⇔ 17 . 100 - 120
⇔ 1700 - 120
⇔ 1580
c) 2\(^3\) . 17 - \(2^3\) . 14
⇔ \(2^3\) . ( 17 - 14 )
\(\Leftrightarrow\) 8 . 3
⇔ 24
`a)3/5+(-4/9)`
`=3/5-4/9`
`=27/45-20/45`
`=7/45`
`b)3/5+2/5 . 15/8`
`=3/5 + 30/40`
`=3/5+3/4`
`=12/20+15/20`
`=27/20`
`c)7/2 . 8/13 + 8/13 . (-5/2)`
`=8/13 . (7/2 +(-5)/2)`
`=8/13 . 1`
`=8/13`
`d)-5/17 . (-9/23)+9/23 . (-22/17) + 11 9/23`
`=-5/17 . (-9/23) + 9/23 . (-1) . 22/17 + 11 + 9/23`
`=-5/17 . (-9/23) + (-9/23) . 22/17+11+9/23`
`= -9/23 ( -5/17 + 22/17)+11+9/23`
`= - 9/23 . 1+11+9/23`
`=-9/23+11+9/23`
`=(-9/23+9/23)+11`
`=0+11`
`=11`
a: =27/45-20/45=7/45
b: =3/5+30/40
=3/5+3/4
=12/20+15/20
=27/20
c: =8/13(7/2-5/2+1)=8/13*2=16/13
d: =9/23*5/17-9/23*22/17+11+9/23
=-9/23+11+9/23
=11
a)5*2^2-18:3=20-6=14
b)17*85+15*17-120=17*(120-85+15)=17*20=340
c2^3*17-2^3*14=2^3(17-14)=8*3=24
\(=\dfrac{9}{23}\left(\dfrac{5}{17}-\dfrac{22}{17}\right)+11+\dfrac{9}{23}=11\)
a: \(4\cdot3^3-75:5^2\)
\(=4\cdot27-\dfrac{75}{25}\)
=108-3
=105
b: \(7\cdot2^4-16\cdot3\)
\(=16\cdot7-16\cdot3\)
=16(7-3)
=16*4=64
c: \(2^3\cdot17-2^3\cdot14\)
\(=8\cdot17-8\cdot14\)
=8(17-14)
=8*3
=24
d: \(45+\dfrac{54}{3^2}\)
\(=45+\dfrac{54}{9}\)
=45+6
=51
e: \(17\cdot85+15\cdot17-120\)
\(=17\left(85+15\right)-120\)
=1700-120
=1580
f: \(\dfrac{3^{24}}{3^{21}}+2^2\cdot2^3\)
\(=3^3+2^5\)
=27+32
=59
g: \(92+4^3:8\)
=92+64/8
=92+8
=100
h: \(5\cdot2^3+7^{11}:7^9-1^{2023}\)
\(=5\cdot8+49-1\)
=40+48
=88
A. -14 - 7 - 12 - 24
= - 21 - 12 - 24
= - 33 - 24
= - 57
B. -10 - 14 - 16 + 43
= - 24 - 16 + 43
= - 40 + 43
= - 83
C. 32 + |-23| - 57 - (-23)
= 32 + 23 - 57 +23
= 55 - 57 + 23
= - 2 + 23
= 21
D. |-8| + |-4| - (-12) + 5
= 8 + 4 + 12 + 5
= 12 + 12 + 5
= 24 + 5
= 29
E. |-13| - |-17| + (-20) - (-18)
= 13 - 17 - 20 + 18
= - 4 - 17 - 20 + 18
= - 21 - 20 + 18
= - 41 + 18
= 23
A. -14-7-12-24=-21-36=-57
B. -10-14-16+43=-24+27=3
C.32+\(^{|-23|}\)-57-(-23)=32+23-57+23=55-80=-25
D.\(|-8|+|-4|\)-(-12)+5=8+4+12+5=12+17=29
E.\(|-13|-|-17|\)+(-20)-(-18)=13-17-20+18=-4-2=-6
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 + \(\dfrac{80}{87}\)
= - \(\dfrac{7}{87}\)
a) 5.2² - 18 : 3
= 5.4 - 18 : 9
= 20 - 2
= 18
b) 17 . 85 + 15 . 17 - 120
= 17 . (85 + 15) - 120
= 17 . 100 - 120
= 1700 - 120
= 1580
c) 2³ . 17 - 2³ . 14
= 8 . 17 - 8 . 14
= 8 . (17 - 14)
= 8 . 3
= 24
a) 5 . 22 – 18 : 32
= 5.4 – 18 : 9
= 20 – 2
= 18
b) 17 . 85 + 15 . 17 – 120
= 17. (85 + 15) – 120
= 17.100 – 120
= 170 – 120
= 50
c) 23 . 17 – 23 . 14
= 23.(17 - 14)
= 23.3
= 8.3
= 24