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a) (-35,8) + (-17,2) + 16,4 + 4,6
= [ (-35,8) + (-17,2) ] + (16,4 + 4,6)
= -53 + 21
= -32
b) (5,3 - 2,8) - (4 + 5,3)
= 2,5 - 9,3
= -6,8
c) (34,72 + 32,28):5 - (57,25 - 36,05):2
= 67:5 - 21,2:2
= 13,4 - 10,6
= 2,8
d) 2,5.(-4,68) + 2,5.(-5,32)
= 2,5.[ (-4,68) + (-5,32) ]
= 2,5. (-10)
= -25
e) 5,36. 12,34 + (-5,36). 2,34
= 5,36. 12,34 - 5,36. 2,34
= 5,36. (12,34 - 2,34)
= 5,36. 10
= 53,6
a,-35,8+(-17,2)+16,4+4,6=(-35,8-17,2)+(16,4+4,6=-53+21=-32
b,(5,3-2,8)-(4+5,3)=5,3-2,8-4-5,3=(5,3-5,3)+(-2,8-4)=0-6,8=-6,8.
c,(34,72+32,28):5-(57,25-36,05):2=67:5-21,2:2=13.4-10.6=2,8
d,2,5(-4,68)+2,5(-5,32)=2,5(-4,68-5,32)=2,5x(-10)=-25
e,5,36x12,34+(-5,36)x2,34=5,36(12,34-2,34)=5,36x10=53,6
c)34, 72 32,28 : 5 – 57,25 – 36, 05 : 2
=(34,72+32,28):5-(57,25-36,05):2
=67 : 5 - 21,2 : 2
=13,4 - 10,6
=2,8
e)5, 36.12, 34 ( 5, 36).2, 34
=5,36.12,34−5,36.2,34
=5.36.(12,34−2,34)
=5,36.10
=53,6
\(=\dfrac{2}{3}+\dfrac{1}{3}.\left(\dfrac{7}{18}\right):\dfrac{7}{12}\)
\(=\dfrac{2}{3}+\dfrac{7}{54}:\dfrac{7}{12}\)
\(=\dfrac{2}{3}+\dfrac{2}{9}\)
\(=\dfrac{8}{9}\)
a) 25.23 − 32 + 125 = 25.8 – 9 + 125 = 316.
b) 2.32 + 5.(2 + 3) = 2.9+5.5 = 43.
a) \(\dfrac{2^6\cdot5^5}{10^5}\)
\(=\dfrac{2^6\cdot5^5}{2^5\cdot5^5}\)
\(=2\)
b) \(\dfrac{3^6\cdot5^7}{15^6}\)
\(=\dfrac{3^6\cdot5^7}{3^6\cdot5^6}\)
\(=5\)
a) \(A=\left(1-\dfrac{1}{2}\right).\left(1-\dfrac{1}{3}\right).\left(1-\dfrac{1}{4}\right).\left(1-\dfrac{1}{5}\right)...\left(1-\dfrac{1}{2003}\right).\left(1-\dfrac{1}{2004}\right)\)
\(=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.\dfrac{4}{5}...\dfrac{2002}{2003}.\dfrac{2003}{2004}\)
\(=\dfrac{1}{2004}\)
b) \(B=5\dfrac{9}{10}:\dfrac{3}{2}-\left(2\dfrac{1}{3}.4\dfrac{1}{2}-2.2\dfrac{1}{3}\right):\dfrac{7}{4}\)
\(=\dfrac{59}{10}:\dfrac{3}{2}-\left(\dfrac{7}{3}.\dfrac{9}{2}-2.\dfrac{7}{3}\right).\dfrac{4}{7}\)
\(=\dfrac{59}{15}-\left(\dfrac{21}{2}-\dfrac{14}{3}\right).\dfrac{4}{7}\)
\(=\dfrac{59}{15}-\dfrac{35}{6}.\dfrac{4}{7}\)
\(=\dfrac{59}{15}-\dfrac{10}{3}\)
\(=\dfrac{3}{5}\)
a, = 19 . 4 + 26 . 5
= 76 + 130
= 206
b, = 67 : 5 - 21,2 : 2
= 13,4 - 10,6
= 2,8