13:4
1+13^4+13^8+...+13^96+13^100/1+13^2+13^4+...+13^98+13^100+13^102
A ,26/15+-7/13+-6/13-11/15 B, -3/4+4/13+-3/4×9/13+3/4 Hộ tui
A = (26/15 - 11/15) + (-7/13 + -6/13)
= 15/15 + -13/13
= 1 + (-1)
=0
a/\(\dfrac{26}{15}+-\dfrac{7}{13}+-\dfrac{6}{13}-\dfrac{11}{15}\)
\(=\left(\dfrac{26}{15}-\dfrac{11}{15}\right)-\left(\dfrac{7}{13}+\dfrac{6}{13}\right)\)
\(=1-1\)
\(=0\)
b/Sửa đề:
\(-\dfrac{3}{4}\cdot\dfrac{4}{13}+-\dfrac{3}{4}\cdot\dfrac{9}{13}+\dfrac{3}{4}\)
\(=-\dfrac{3}{4}\cdot\left(\dfrac{4}{13}+\dfrac{9}{13}\right)+\dfrac{3}{4}\)
\(=-\dfrac{3}{4}\cdot1+\dfrac{3}{4}\)
\(=-\dfrac{3}{4}+\dfrac{3}{4}\)
\(=0\)
câu b ko tính nhanh được, nếu đề sai thì đã có bài của ctv rồi nhé
\(A=\frac{1+13^4+13^8+..+13^{96}+13^{100}}{1+13^2+13^4+..+13^{98}+13^{102}}\)TÍNH A
Câu 18. Trong các số sau, số nào là số nguyên tố: 2, 4, 13, 19, 25, 31
A. 2, 4, 13, 19, 31 B. 4, 13, 19, 25, 31
C. 2, 13, 19, 31 D. 2, 4, 13, 19
C NHA BẠN
CHÚC BẠN HỌC TỐT ^^
Tính nhanh : 4/13*5/11+4/13*6/11-4/13
= \(\frac{4}{13}.\left(\frac{5}{11}+\frac{6}{11}-1\right)=\frac{4}{13}.\left(\frac{11}{11}-1\right)=\frac{4}{13}.0=0\)
-4/13 x 5/17 + -12/13 x 4/17 + 4/13
-20/221+-48/221+4/13
-68/221+4/13
-68/221+20/221
-48/221
Tính hợp lí
1) \((\)\(\dfrac{7}{-18}\)+\(\dfrac{-5}{12}\)) -\(\dfrac{13}{-18}\)
2) \(\dfrac{-13}{17}\)+(\(\dfrac{13}{-21}\)+\(\dfrac{-4}{17}\))
3) ( \(\dfrac{13}{-10}\)-\(\dfrac{-4}{13}\))+\(\dfrac{11}{-10}\)
4) \(\dfrac{13}{17}\)\(\times\)\(\dfrac{4}{-5}\)+\(\dfrac{13}{17}\)\(\times\)\(\dfrac{-3}{4}\)
5) \(\dfrac{-5}{12}\)\(\times\)\(\dfrac{7}{-17}\)\(\times\)\(\dfrac{9}{-20}\)
6) \(\dfrac{5}{9}\)\(\times\)\(\dfrac{11}{23}\)+ \(\dfrac{11}{23}\)\(\times\)\(\dfrac{17}{9}\)\(-\)\(\dfrac{13}{9}\)\(\times\)\(\dfrac{11}{23}\)
\(1.\dfrac{-7}{18}+\dfrac{-5}{12}-\dfrac{-13}{18}\text{=}\left(\dfrac{-7}{18}-\dfrac{-13}{18}\right)+\dfrac{-5}{12}\text{=}\dfrac{1}{3}+\dfrac{-5}{12}\text{=}\dfrac{-1}{12}\)
\(2.\dfrac{-13}{17}+\dfrac{-13}{21}+\dfrac{-4}{17}\text{=}\left(\dfrac{-13}{17}+\dfrac{-4}{17}\right)+\dfrac{-13}{21}\text{=}-1+\dfrac{-13}{21}\text{=}\dfrac{-34}{21}\)
\(3.\dfrac{-13}{10}-\dfrac{-4}{13}+\dfrac{-11}{10}\text{=}\dfrac{-12}{5}-\dfrac{-4}{13}\text{=}\dfrac{-136}{65}\)
\(4.\dfrac{13}{17}\times\left(\dfrac{-4}{5}+\dfrac{-3}{4}\right)\text{=}\dfrac{13}{17}\times\dfrac{-31}{20}\text{=}\dfrac{-403}{340}\)
\(5.\left(\dfrac{-5}{12}\times\dfrac{-9}{20}\right)\times\dfrac{-7}{17}\text{=}\dfrac{3}{16}\times\dfrac{-7}{17}\text{=}\dfrac{-21}{272}\)
\(6.\dfrac{11}{23}\times\left(\dfrac{5}{9}+\dfrac{17}{9}-\dfrac{13}{9}\right)\text{=}\dfrac{11}{23}\times1\text{=}\dfrac{11}{23}\)
điền dấu lớn bé = vào chỗ chấm
9/8-5/6 .... 17/27-4/9
6-15/4....3/2+3/4
11/3-[5/3+2/3].....11/3-5/3-2/3
19/13+4/13-10/13....19/13-10/13+4/13
Mik làm từ trên xuống đưới nha
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dap an la
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3/4-3/5+3/7+3/11 / 13/4-13/5+13/7+13/11
\(\frac{\frac{3}{4}-\frac{3}{5}+\frac{3}{7}+\frac{3}{11}}{\frac{13}{4}-\frac{13}{5}+\frac{13}{7}+\frac{13}{11}}=\frac{3\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{11}\right)}{13\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{11}\right)}=\frac{3}{13}\)
-13/4 x 3/7 - 13/4 x 10/7 - 13/7
\(\dfrac{-13}{4}.\dfrac{3}{7}-\dfrac{13}{4}.\dfrac{10}{7}-\dfrac{13}{7}\)
\(=\dfrac{13}{4}.\dfrac{-3}{7}-\dfrac{13}{4}.\dfrac{10}{7}-\dfrac{13}{7}\)
\(=\dfrac{13}{4}.\left(\dfrac{-3}{7}-\dfrac{10}{7}\right)-\dfrac{13}{7}\)
\(=\dfrac{13}{4}.\dfrac{-13}{7}-\dfrac{13}{7}\)
\(=\dfrac{-13}{4}.\dfrac{13}{7}-\dfrac{13}{7}\)
\(=\dfrac{13}{7}.\left(\dfrac{-13}{4}-1\right)\)
\(=\dfrac{13}{7}.-\dfrac{17}{4}\)
\(=-\dfrac{221}{28}\)
* Cách làm nhanh: Với biểu thức như trên, hai phân số nhân với nhau có thể đổi dấu cho nhau.*
-13/4 . 3/7 - 13/4 . 10/7 - 13/7
= -13/4 . (3/7 + 10/7) - 13/7
= -13/4 . 13/7 - 13/7
= 13/7 . (-13/4 - 1)
= 13/7 . (-17/4)
= -221/28