Thực hiện phép tính
a, −2020+(2019−1968)−(2019−2020)
b, −37∙16+36∙(−37)−2∙(−37)
c, 1000÷(−10)2+3∙(−5)−(−155)0
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\(\left(-\frac{5}{12}\right):\frac{7}{3}-\left(-\frac{5}{12}\right):\frac{7}{4}=\left(-\frac{5}{12}\right):\left(\frac{7}{3}-\frac{7}{4}\right)=\left(-\frac{5}{12}\right):\frac{7}{12}=-\frac{5}{7}\)
\(\left[\left(\frac{2}{5}\right)^0\right].\frac{19}{13}-\left(\frac{7}{3}\right)^{2019}.\frac{3}{7}^{2019}\)
\(=\left(\frac{2}{5}\right)^0.\frac{19}{13}-\left(\frac{7}{3}.\frac{3}{7}\right)^{2019}\)
\(=1.\frac{19}{13}-1^{2019}\)
\(=1.\frac{19}{13}-1\)
\(=\frac{19}{13}-1\)
\(=\frac{6}{13}\)
Bài giải
a, \(\left(-\frac{5}{12}\right)\text{ : }\frac{7}{3}-\left(-\frac{5}{12}\right)\text{ : }\frac{7}{4}\)
\(=\left(-\frac{5}{12}\right)\text{ : }\frac{7}{3}-\left(-\frac{5}{12}\right)\text{ : }\frac{7}{4}\)
\(=\left(-\frac{5}{12}\right)\cdot\frac{3}{7}-\left(-\frac{5}{12}\right)\cdot\frac{4}{7}\)
\(=\frac{-15}{84}+\frac{20}{84}=\frac{5}{84}\)
b, \(\left[\left(\frac{2}{5}\right)^0\right]^{2020}\cdot\frac{19}{37}-\left(\frac{7}{3}\right)^{2019}\cdot\frac{3^{2019}}{7}\)
\(=1^{2020}\cdot\frac{19}{37}-\frac{7^{2019}}{3^{2019}}\cdot\frac{3^{2019}}{7}\)
\(=\frac{19}{37}-7^{2018}\)
a) 5 69 : 5 67 – 3 40 : 3 39 = 5 2 – 3 1 = 25 – 3 = 22
b) 155 – [ 2 . ( 30 + 5 – 26 ) . ( 24 : 3 )]
= 155 – [ 2 . 9 . 8 ] = 155 – 144 = 11
c) 37 . 143 + 37 . 57 + 1300
= (37 . 143 + 37.57) + 1300
= 37.(143+ 57) + 1300
= 37. 200 + 1300
= 7400 + 1300
8700.
a)-1-2-3-4-5-6-....-80
=(-1)+(-2)+(-3)+(-4)+(-5)+(-6)+...+(-80)
Khoảng cách giữa các số:(-1)-(-2)=1
Tổng các số hạng:(-1)-(-80)+1=80 số
Tổng:[(-1)+(-80)].80:2= -3240
=>-1-2-3-4-5-6+......-80=-3240
b,1-2+3-4+5-6+......+2021-2022
=(1-2)+(3-4)+(5-6)+...+(2021-2022)
=(-1)+(-1)+(-1)+...+(-1)
Tổng số cặp là:
(2022-1+1):2=1011 cặp
-1.1011=-1011
=>1-2+3-4+5-6+......+2021-2022= -1011
c, Đề bài sai
d,-4-8-12-16-.......-2020
=-4+(-8)+(-12)+(-16)+...+(-2020)
Khoảng cách giữa các số:-4-(-8)=4
Tổng các số hạng:[-4-(-2020]:4+1=505 số
Tổng:[-4+(-2020)].505:2=-511060
=>-4-8-12-16-.......-2020=-511060
\(\left(\frac{1}{2}\right)^5.2^5-\left(\frac{1}{2019}-\frac{1}{2020}+\frac{1}{2021}\right)\)
\(=\frac{1^5}{2^5}.2^5-\left(\frac{1}{2019}-\frac{1}{2020}+\frac{1}{2021}\right)\)
\(=\frac{1^5.2^5}{2^5}-\left(\frac{2020.2021}{2019.2020.2021}-\frac{2019.2021}{2019.2020.2021}+\frac{2019.2020}{2019.2020.2021}\right)\)
\(=1^5-\left(\frac{2020.2021-2019.2021+2019.2020}{2019.2020.2021}\right)\)
\(=1-\left(\frac{\left(2020-2019\right).2021+2019.2020}{2019.2020.2021}\right)\)
\(=1-\left(\frac{1.2021+2019.2020}{2019.2020.2021}\right)\)
\(=1-\left(\frac{1+2020+2019.2020}{2019.2020.2021}\right)\)
\(=1-\left(\frac{1+2020.\left(1+2019\right)}{2019.2020.2021}\right)\)
\(=1-\left(\frac{1+2020.2020}{2019.2020.2021}\right)\)
\(=1-\frac{1+2020}{2019.2021}\)
\(=1-\frac{2021}{2019.2021}\)
\(=1-\frac{1}{2019}\)
\(=\frac{2019}{2019}-\frac{1}{2019}=\frac{2018}{2019}\)
Chúc bạn học tốt
a)-2020+(2019-1968)-(2019-2020)=2020+51-(-1)=2071+1=2072
b)-37x16+36x(-37)-2x(-37)=-37x(16+36-2)=-37x50=-1850
c)1000:(-10)2+3.(-5)-(-155).0=-100.2+(-15)-0=-200+-15=-215