Nếu :
1 + 1 = 5
2 + 2 = 7
3 + 3 = 9
4 + 4 = 11
Vậy 5 + 5 = ???????
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1: =1/5-1/4=-1/20
2: =6/8-7/8=-1/8
3: =11/18-14/18=-3/18=-1/6
4: =-28/210+90/210+28/210=3/7
5: =-8/17-34/17=-42/17
1)\(\dfrac{1}{5}+\dfrac{-1}{-4}=\dfrac{4}{20}+\dfrac{5}{20}=\dfrac{9}{20}\)
\(\)2)\(\dfrac{3}{4}+\dfrac{-7}{8}=\dfrac{6}{8}+\dfrac{-7}{8}=\dfrac{-1}{8}\)
3)\(\dfrac{11}{18}+\dfrac{-7}{9}=\dfrac{11}{18}+\dfrac{-14}{18}=\dfrac{-3}{18}=\dfrac{-1}{6}\)
4)\(\dfrac{2}{-15}+\dfrac{3}{7}+\dfrac{-4}{-30}=\dfrac{-2}{15}+\dfrac{2}{15}+\dfrac{3}{7}=0+\dfrac{3}{7}=\dfrac{3}{7}\)
5)\(\dfrac{8}{-17}+\left(-2\right)=\dfrac{-8}{17}+\dfrac{-34}{17}=\dfrac{-42}{17}\)
a/ A= 1-3+5-7+9-11+......+97-99
= -2+(-2)+(-2)+......+(-2)
= (-2).25=-50
b/B=-1-2-3-4-...-100
=-(1+2+3+4+...+100)
=-5050
c/C=1-2+3-4+5-6+......+99-100
= -1+(-1)+(-1)+.............+(-1)
=(-1).50=-50
d/D=1-2-3+4+5-6-7+8+9-....+94-95
= (1-2-3+4)+(5-6-7+8)+.......+(92-93-94+95)
= 0+0+0+...+0=0
a) 2011 + 5 . [300- ( 18- 8)2]
= 2011 + 5. ( 300 - 102)
= 2011 + 5. 200
= 3011
b) Số số hạng trong tổng trên là:
( 99 - 1) ; 2 = 1 = 50 (số)
99 + 97 = … = 3 + 1
= ( 99 + 1) . 50 : 2
= 2500
c) Số số hạng trong tổngtrên là:
( 100 - 1) : 3 + 1 = 34 ( số)
100 + 97 + 94 + …+ 4 = 1
= ( 100 + 1) . 34 : 2=1717
d) 99 - 97 + 95 - 93 + … + 3 - 1
= 2 + 2 + 2 + … + 2
= 2. 25
= 50
e) 100 - 97 + 94 - …+ 4 - 1
= 3 + 3 + 3 + … + 3
= 3. 17
= 51
Ta có :1+(2-3-4)+5+(6-7-8)+.....+(94-95-96)+97+98
=1-5+5-9+...-97+97+98
=1+98=99
b: \(B=\dfrac{5}{2}-\dfrac{7}{2}+\dfrac{3}{8}+\dfrac{6}{8}+\dfrac{-6}{11}-\dfrac{5}{11}=-2-1+\dfrac{9}{8}=\dfrac{9}{8}-3=-\dfrac{15}{8}\)
c: \(C=\left(\dfrac{4}{3}+\dfrac{7}{3}+\dfrac{1}{3}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=4+1=5\)
d: \(D=\dfrac{4}{19}\left(\dfrac{-5}{6}-\dfrac{7}{12}\right)-\dfrac{40}{57}\)
\(=\dfrac{4}{19}\cdot\dfrac{-17}{12}-\dfrac{40}{57}=-1\)
e: \(E=\dfrac{1}{3}\left(\dfrac{4}{5}-\dfrac{9}{5}\right)+\dfrac{2}{3}=\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}\)
Câu 2:
a: \(=2+\sqrt{17-4\left(\sqrt{5}+2\right)}\)
\(=2+\sqrt{17-4\sqrt{5}-8}\)
\(=2+\sqrt{9-4\sqrt{5}}\)
\(=2+\sqrt{5}-2=\sqrt{5}\)
b: \(=\sqrt{2}+1+1-\sqrt{2}=2\)
c: \(=\sqrt{6-2\sqrt{5}}\cdot\left(3+\sqrt{5}\right)\left(\sqrt{5}-1\right)\)
\(=\left(6-2\sqrt{5}\right)\left(3+\sqrt{5}\right)\)
\(=18+6\sqrt{5}-6\sqrt{5}-10=8\)
5+5=13
5+5 = 13