tính nhanh
(1 + 3 + 5 + 7 + 9) x (1313 12 - 1212 13)
giúp mik nha
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a) \(\dfrac{23}{24}< 1\)
\(\dfrac{24}{23}>1\)
\(\Rightarrow\dfrac{23}{24}< \dfrac{24}{23}\)
b) \(\dfrac{4}{21}< \dfrac{4}{20}=\dfrac{1}{5}=\dfrac{6}{30}< \dfrac{6}{29}\)
c) \(\dfrac{6}{7}=1-\dfrac{1}{7}< \dfrac{8}{9}=1-\dfrac{1}{9}\)
d) \(\dfrac{1212}{1313}=\dfrac{12\times101}{13\times101}=\dfrac{12}{13}\)
a) \(1010+1111+1212+.....+9898+9999\)\(=\frac{\left(1010+9999\right)\cdot\left(\frac{9999-1010}{1111-1010}+1\right)}{2}\)\(=\frac{11009\cdot\left(\frac{8989}{101}+1\right)}{2}\)\(=\frac{11009\cdot\left(89+1\right)}{2}\)\(=\frac{11009\cdot90}{2}\)\(=\frac{990810}{2}\)\(=495405\)
a) Khoảng cách của dãy số là:
1111-1010=101;1212-1111=101;...
Số số hạng của dãy số là:
(9999-1010):101+1=90(số)
Tổng:
(1010+9999)*90:2=495405
Đ/s:495405
Nhớ k mk nha!
Bài 1 :
36/1212 = 3/101
13/1313 = 1/101
3/101 + 1/101 = 4/101
Vậy 36/1212 + 13/1313 = 4/101.
Bài 2 :
A = 5/13 + 1/2 + -5/9 + -3/6 + 4/-9
A = 5/13 + 1/2 + -5/9 + -1/2 + -4/9
A = (1/2 + -1/2) + (-5/9 + -4/9) + 5/13
A = 0 + (-1) + 5/13
A = (-1) + 5/13 = -13/13 + 5/13 = 8/13.
Chúc bạn học giỏi nhé.
1) = \(\frac{3}{5}\)
2) =\(\frac{6}{7}\)
3)\(\frac{9}{13}\)
4)\(\frac{4}{13}\)
\(A=\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+...+\frac{1}{9.11}-\frac{1}{11.13}\)
\(\Leftrightarrow A=\frac{1}{1.3}-\frac{1}{11.13}=\frac{1}{3}-\frac{1}{143}=\frac{140}{429}\)
\(A=\frac{4}{1.3.5}+\frac{4}{3.5.7}+\frac{4}{5.7.9}+\frac{4}{7.9.11}+\frac{4}{9.11.13}\)
\(\Rightarrow A=\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+...+\frac{1}{9.11}-\frac{1}{11.13}\)
\(\Rightarrow A=\frac{1}{1.3}-\frac{1}{11.13}=\frac{1}{3}-\frac{1}{143}=\frac{140}{429}\)
Ta có 1212/1313= 12/13
=> 1212/1313 =12/13
\(\dfrac{5}{7}\)>\(\dfrac{6}{21}\)
\(\dfrac{18}{24}\)>\(\dfrac{15}{25}\)
\(\dfrac{12}{13}\)=\(\dfrac{1212}{1313}\)
a)Vì \(7>5\)nên\(\frac{7}{12}>\frac{5}{12}\)
b)\(\frac{2}{5}=\frac{2\times5}{5\times5}=\frac{10}{25}\)
Vì \(\frac{10}{25}>\frac{7}{25}\)nên \(\frac{2}{5}>\frac{7}{25}\)
c) Vì \(11< 24\)nên \(\frac{9}{11}>\frac{9}{24}\)
d)\(\frac{12}{13}=\frac{12\times101}{13\times101}=\frac{1212}{1313}\)
\(\Rightarrow\frac{12}{13}=\frac{1212}{1313}\)
e) mình làm hai cách:
Cách 1:\(\frac{4}{5}=\frac{4\times9}{5\times9}=\frac{36}{45};\frac{10}{9}=\frac{10\times5}{9\times5}=\frac{50}{45}\)
Vì \(36>50\)nên \(\frac{36}{45}>\frac{50}{45}\)hay\(\frac{4}{5}>\frac{10}{9}\)
Cách 2: Vì \(\frac{4}{5}< 1;\frac{10}{9}>1\)
\(\Rightarrow\frac{4}{5}< 1< \frac{10}{9}\)
Vậy \(\frac{4}{5}< \frac{10}{9}\)
g)\(\frac{17}{15}=\frac{17\times29}{15\times29}=\frac{493}{435};\frac{31}{29}=\frac{31\times15}{29\times15}=\frac{465}{435}\)
Vì \(493>465\)nên \(\frac{493}{435}>\frac{465}{435}\)hay \(\frac{17}{15}>\frac{31}{29}\)
7/12>5/12
2/5>7/25
9/11>9/24
12/13=1212/1313
4/5<10/9
17/15>31/29