Tính :
a) \(26+\left(-6\right)\)
b) \(\left(-75\right)+50\)
c) \(80+\left(-220\right)\)
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a/ A = 1002 - 992 + 982 -...+22 - 12
= (1002 - 992) + (982 - 972) +...+ (22 - 12)
= 199 + 195 + 191 + ... + 1
= (\(\frac{199-1}{4}+1\))(\(\frac{199+1}{2}\)) = 5050
b/ Y chang câu a luôn nha
c/ \(C=\frac{780^2-220^2}{125^2+150.125+75^2}=\frac{\left(780-220\right)\left(780+220\right)}{\left(125+75\right)^2}\)
\(=\frac{560.1000}{200^2}=14\)
Tính :
a) (26−6).(−4)+31(−7−13)
=20.(-4)+31.(-20)
=-20(4+31)
=(-20).35
=-700
b) (−18).(55−24)−28.(44−68)
=(-18). 31- 28. (-24)
=6.(-3).31-28.(-4).6
=6. (-93)+ 112.6
=6.(-93+112)=114
\(\left(780^2-220^2\right):\left(125^2+150\cdot125+75^2\right)\)
\(=\dfrac{1000\cdot540}{200^2}\)
\(=\dfrac{10000\cdot54}{40000}=\dfrac{54}{4}=\dfrac{27}{2}\)
a,\(25-\left(-75\right)+32-\left(32+75\right)\))
=\(25+75+32-32-75\)
=\(\left(75-75\right)+\left(32-32\right)+25\)
=\(0+0+25=25\)
\(b,\left|-127\right|-18.\left(5-6\right)\)
\(=127-18.\left(-1\right)\)
\(=127-\left(-18\right)\)
\(=145\)
\(c,17-25+55-17\)
\(=\left(17-17\right)+\left(55-25\right)\)
\(=0+30\)
\(=30\)
a)
25 - (-75) + 32 - ( 32 + 75 )
= 25 + 75 + 32 - 107
=100+32 - 107
=132 - 107
=25
a)
Cách 1.
\(\begin{array}{l}\left( {4 + 32 + 6} \right) + \left( {10 - 36 - 6} \right)\\ = 4 + 32 + 6 + 10 - 36 - 6\\ = 52 + \left( { - 36} \right) + \left( { - 6} \right)\\ = 52 + \left( { - 42} \right) = 52 - 42 = 10\end{array}\)
Cách 2.
\(\begin{array}{l}\left( {4 + 32 + 6} \right) + \left( {10 - 36 - 6} \right)\\ = 4 + 32 + 6 + 10 - 36 - 6\\ = 36 + 6 + 10 + \left( { - 36} \right) + \left( { - 6} \right)\\ = 36 + \left( { - 36} \right) + 6 + \left( { - 6} \right) + 10\\ = 0 + 0 + 10 = 10\end{array}\)
b) \(\left( {77 + 22 - 65} \right) - \left( {67 + 12 - 75} \right)\)
\(\begin{array}{l} = 77 + 22 - 65 - 67 - 12 + 75\\ = 77 - 67 + 22 - 12 + 75 - 65\\ = 10 + 10 + 10 = 30\end{array}\)
c) \( - \left( { - 21 + 43 + 7} \right) - \left( {11 - 53 - 17} \right)\)
\(\begin{array}{l} = 21 - 43 - 7 - 11 + 53 + 17\\ = 21 - 11 + 53 - 43 + 17 - 7\\ = 10 + 10 + 10 = 30\end{array}\)
a) 26+ (-6)= 26-6= 20
b) (−75)+50= -(75-50)= -25
c) 80+(−220)= -(220-80)= -140
a) 26 + (-6)
= 26 - 6
= 20
b) (-75) +50
= - (75 - 50)
= -25
c) 80 + (-220)
= - (220 - 80)
= -140