Bài 2. Thực hiện phép tính sau một cách hợp lý nếu có thể :
b) – 200 – (1861 – 655) + 61 – 2655
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a: \(-317+402-583+98\)
\(=\left(-317-583\right)+\left(402+98\right)\)
\(=-900+500=-400\)
b: \(-200-\left(1861-655\right)+61-2655\)
\(=-200-1861+655+61-2655\)
\(=-200-\left(1861-61\right)+\left(655-2655\right)\)
\(=-200-1800-2000\)
=-4000
-200-(1861-655)+61-2655
= -200-1861+655+61-2655
= -200+(-1861+61)+(-2655+655)
= -200+(-1800)+(-2000)
= -2000+(-2000)=-4000
a) (-124) + 24 = -100
b) 37. 78 + 37. 22
= 37 . ( 78 + 22 )
= 37 . 100
= 3700
\(=-\dfrac{1}{3}+\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{3}{4}=1\)
\(\dfrac{-4}{12}-\left(-\dfrac{13}{39}-0.25\right)+0.75\)
\(=\dfrac{-1}{3}+\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{3}{4}\)
=1
a) \(583+27+417+73\)
\(=\left(583+417\right)+\left(73+27\right)\)
\(=1000+100\)
\(=1100\)
b) \(125\cdot25\cdot4\cdot8\cdot7\)
\(=\left(125\cdot8\right)\cdot\left(25\cdot4\right)\cdot7\)
\(=1000\cdot100\cdot7\)
\(=700000\)
c) \(87-\left[61+\left(7-4\right)^2\right]\)
\(=87-\left(61+3^2\right)\)
\(=87-\left(61+9\right)\)
\(=87-70\)
\(=17\)
d) \(135\cdot47+135\cdot52+135\cdot2021^0\)
\(=135\cdot\left(47+52+2021^0\right)\)
\(=135\cdot\left(99+1\right)\)
\(=135\cdot100\)
\(=13500\)
d) -37 . (-19) + 37 . (-119)
= -37.(-19 + 119)
= -37 . 100
= -3700
a: \(5\cdot\frac{5}{27}+\frac{7}{23}+0,5\cdot\frac57+\frac{16}{23}+\frac12\)
\(=5\cdot\frac{5}{27}+\left(\frac{7}{23}+\frac{16}{23}\right)+0,5\left(\frac57+1\right)\)
\(=\frac{25}{27}+1+0,5\cdot\frac{12}{7}=\frac{25}{27}+1+\frac67=\frac{25}{27}+\frac{13}{7}=\frac{526}{27\cdot7}=\frac{526}{189}\)
b: \(25\frac16:\frac{-4}{5}-45\frac16:\frac{-4}{5}\)
\(=\left(25+\frac16-45-\frac16\right):\frac{-4}{5}\)
\(=-20\cdot\frac{-5}{4}=25\)
c: \(25\cdot\left(-\frac15\right)^3+\frac15-2\cdot\left(-\frac12\right)^2-\frac12\)
\(=25\cdot\frac{-1}{125}+\frac15-2\cdot\frac14-\frac12\)
\(=-\frac15+\frac15-\frac12-\frac12=-1\)
a: \(-\left(251\cdot3+281\right)+3\cdot251-\left(1-281\right)\)
\(=-251\cdot3-281+3\cdot251-1+281\)
=-1
b: \(\left(0,75-\frac14\right):\left(-5\right)+\frac{1}{15}-\left(-\frac15\right):\left(-3\right)\)
\(=\left(0,75-0,25\right):\left(-5\right)+\frac{1}{15}-\frac{1}{15}\)
=0,5:(-5)
=-1
c: \(\sqrt{\frac{4}{81}}:\sqrt{\frac{25}{81}}-1\frac25\)
\(=\frac29:\frac59-\frac75\)
\(=\frac25-\frac75=-\frac55=-1\)
=-200-1861+655+61-2655
=-200-2000-1800
=-4000
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