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a, \(\begin{array}{l}A = \dfrac{{ - 3}}{{14}} + \dfrac{2}{{13}} + \dfrac{{ - 25}}{{14}} + \dfrac{{ - 15}}{{13}}\\A = \left( {\dfrac{{ - 3}}{{14}} + \dfrac{{ - 25}}{{14}}} \right) + \left( {\dfrac{2}{{13}} + \dfrac{{ - 15}}{{13}}} \right)\\A = \dfrac{{ - 3 + \left( { - 25} \right)}}{{14}} + \dfrac{{2 + \left( { - 15} \right)}}{{13}}\\A = \dfrac{{ - 28}}{{14}} + \dfrac{{ - 13}}{{13}}\\A = - 2 + (-1)\\A = - 3\end{array}\)
b,
Cách 1:
\(\begin{array}{l}B = \dfrac{5}{3}.\dfrac{7}{{25}} + \dfrac{5}{3}.\dfrac{{21}}{{25}} - \dfrac{5}{3}.\dfrac{7}{{25}}\\B = \left( {\dfrac{5}{3}.\dfrac{7}{{25}} - \dfrac{5}{3}.\dfrac{7}{{25}}} \right) + \dfrac{5}{3}.\dfrac{{21}}{{25}}\\B = 0 + \dfrac{5}{3}.\dfrac{{21}}{{25}}\\B = \dfrac{{5.21}}{{3.25}}\\B = \dfrac{7}{5}\end{array}\)
Cách 2:
\(B = \dfrac{5}{3}.\dfrac{7}{{25}} + \dfrac{5}{3}.\dfrac{{21}}{{25}} - \dfrac{5}{3}.\dfrac{7}{{25}}\\B = \dfrac{5}{3}.({\dfrac{7}{{25}} -\dfrac{7}{{25}} + \dfrac{{21}}{{25}}})\\B = \dfrac{5}{3}.\dfrac{{21}}{{25}}\\B = \dfrac{{5.21}}{{3.25}}\\B = \dfrac{7}{5}\)
a) A = ( 11 + 19 ) + ( 12 + 18 ) + ( 13 + 17 ) + (14 + 16) + 15 + 20
= 30 + 30 + 30 + 30 + 15 + 20
= 155
b)B=11+13+15+17+...+25
B=(11+25)+(13+23)+(15+21)+(17+19)
B=36+36+36+36
B=36.4
B=144
c)C=12+14+16+18+...+26
C=(12+26)+(14+24)+(16+22)+(18+20)
C=38+38+38+38
C=38.4
C=152
a) 2/9 - (1/20 + 2/9)
= 2/9 - 1/20 - 2/9
= (2/9 - 2/9) - 1/20
= 0 - 1/20
= -1/20
b) -3/14 + 2/13 + (-25/14) + (-15/13)
= (-3/14 - 25/14) + (2/13 - 15/13)
= -2 - 1
= -3
c) -3/11 + 11/8 - 3/8 + (-8/11)
= (-3/11 - 8/11) + (11/8 - 3/8)
= -1 + 1
= 0
d) 3/8 + (-1/4) - (7/12 - 1/6)
= 1/8 - 5/12
= -7/24
e) (1/3 + 12/67 + 13/41) - (79/67 - 28/41)
= 1/3 + 12/67 + 13/41 - 79/67 + 28/41
= 1/3 + (12/67 - 79/67) + (13/41 + 28/41)
= 1/3 - 1 + 1
= 1/3
11 - 12 + 13 - 14 + 15 - 16 + 17 - 18 + 19 -20
= (11 + 19) - (12 + 18) + (13 + 17) - (14 + 16) - (20 - 15)
= 30 - 30 + 30 - 30 - 5
= 0 + 0 - 5
= - 5
\(a)3784+23-3785-15\)
\(= \left(3784-3785\right)+\left(23-15\right)\)
\(=-1+8=7\)
\(b)21+22+23+24-11-12-13-14\)
\(=\left(21-11\right)+\left(22-12\right)+\left(23-13\right)+\left(24-14\right)\)
\(=10+10+10+10=40\)
11-12+13-14+15-16+17-18+19-20
=(11-12)+(13-14)+(15-16)+(17-18)+(19-20)
=(-1)+(-1)+(-1)+(-1)+(-1)
=-1.5
=-5
ta co
11-12+13-14+15-16+17-18+19-20\
= (11-12)+(13-14)+(15-16)+(17-18)+(19-20)
=(-1)+(-1)+(-1)+(-1)+(-1)
=(-1)x5
=-5
a) \(13+22+\left(-20\right)+\left(-153\right)+8=13+22-20-153+8\)
\(=\left(13-153\right)+\left(22+8\right)-20=-140+30-20=-130\)
b) \(371+731+\left(-271\right)+\left(-281\right)=371+731-271-281\)
\(=\left(371-271\right)+\left(731-281\right)=100+450=550\)
c) \(9+\left(-10\right)+11+\left(-12\right)+13+\left(-14\right)+15+\left(-16\right)\)
\(=9-10+11-12+13-14+15-16\)
\(=\left(9-10\right)+\left(11-12\right)+\left(13-14\right)+\left(15-16\right)\)
\(=\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)=-4\)
a) 2575+37-2576-29=(2575+2576)-29+37=-1-29+37=-30+37=7
b)34+35+36+37-14-15-16-17=(34-14)+(35-15)+(36-16)+(37-17)=20+20+20+20=80
X
Xa,2575+37-2576-29=37+[(2575-2576)-29]=37+(-30)=7
b,34+35+36+37-14-15-16-17=(34-14)+(35-15)+(36-16)+(37-17)=20+20+20+20=80
a) 12 + 13 + 14 - 15 - 16 - 17
= (12 - 15) + (13 - 16) + (14 - 17)
= (-3) + (-3) + (-3) = -9
b) (35 - 17) - (25 - 7 + 22)
= 35 - 17 - 25 + 7 - 22
= (35 - 25) - (17 - 7) - 22
= 10 - 10 - 22 = -22
Lời giải:
$A=\frac{(-3)+(-25)}{14}+\frac{2+(-15)}{13}=\frac{-28}{14}+\frac{-13}{13}$
$=-2+(-1)=-3$