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Answer:
Bài 1:
\(\left(135-35\right).\left(-37\right)+37.\left(-42-58\right)\)
\(=100.\left(-37\right)+37.\left(-100\right)\)
\(=\left(-3700\right)+\left(-3700\right)\)
\(=-7400\)
\(-65.\left(87-17\right)-87.\left(17-65\right)\)
\(=\left(-65\right).87-\left(-65\right).17-87.17+87.65\)
\(=-\left(-65\right).17-87.17\)
\(=17.\left(65-87\right)\)
\(=-374\)
\([3.\left(-2\right)-\left(-8\right)].\left(-7\right)-\left(-2\right).\left(-5\right)\)
\(=[\left(-6\right)+8].\left(-7\right)-\left(-2\right).\left(-5\right)\)
\(=2.\left(-7\right)-10\)
\(=-24\)
Bài 2:
\(\left(-55\right).\left(-25\right).\left(-8\right)\)
\(=\left(-55\right).[\left(-25\right).\left(-8\right)]\)
\(=\left(-55\right).200\)
\(=-11000\)
\(\left(-1\right).\left(-2\right).\left(-3\right).\left(-4\right).\left(-5\right).10\)
\(=[\left(-1\right).10].[\left(-2\right).\left(-5\right)].[\left(-3\right).\left(-4\right)]\)
\(=\left(-10\right).10.12\)
\(=-1200\)

a, 2/3 giờ < 3/ 4 giờ 7/ 10 mét < 3/ 4 mét
7/ 8 kg < 9/10 kg 5/6 km/h > 7/ 9 km/h
b, Ta có : 4/5 = 4.10/ 5.10 = 40/50
7/10 = 7.5/10.5 = 35/50
23/25 = 23.2/25.2m = 46/50
Vì 46/50 > 40/50 > 35/50
suy ra 23/25 > 4/5 > 7/10
Vậy môn thể thao đá cầu được nhiều bạn lớp 6B thích nhất

Câu 1: (5-25)-(-17)+40
=-20-(-17)+40
=-37+40
=3
Câu 2: (-7)-[(-30)+27]+(-11)
=(-7)-(-3)+(-11)
=-10+(-11)
=-21
Câu 3: (-77)+13+77+100+(-13)
=-64+77+100+(-13)
=13+100+(-13)
=113+(-13)
=100
Câu 4: 9-18+[15-(-28)]
=9-18+-13
=-9+-13
=-22

1) \(\frac{5}{8}.\frac{7}{3}-\frac{5}{2}.\frac{1}{8}=\frac{5}{8}.\frac{7}{3}-\frac{5}{8}.\frac{1}{2}=\frac{5}{8}\left(\frac{7}{3}-\frac{1}{2}\right)=\frac{5}{8}.\frac{11}{6}=\frac{55}{48}\)
2) \(\frac{21}{10}.\frac{3}{4}-\frac{21}{10}.\frac{3}{4}=\frac{21}{10}\left(\frac{3}{4}-\frac{3}{4}\right)=\frac{21}{10}.0=0\)
3) \(\frac{-4}{11}:\frac{-6}{11}=\frac{-4}{11}.\frac{-11}{6}=\frac{-4.\left(-11\right)}{11.6}=\frac{-4.\left(-1\right)}{1.6}=\frac{4}{6}=\frac{2}{3}\)
4)\(\frac{2}{7}.\frac{14}{3}-1=\frac{2.14}{7.3}-1=\frac{2.2}{1.3}-1=\frac{4}{3}-1=\frac{1}{3}\)
5)\(\frac{4}{7}:\left(\frac{1}{5}.\frac{4}{7}\right)=\frac{4}{7}:\frac{4}{35}=\frac{4}{7}.\frac{35}{4}=\frac{4.35}{7.4}=\frac{1.5}{1.1}=5\)
6) \(\frac{12}{7}.\frac{7}{4}+\frac{35}{11}:\frac{245}{121}=\frac{12.7}{7.4}+\frac{35}{11}.\frac{121}{245}=\frac{3.1}{1.1}+\frac{35}{11}.\frac{121}{245}=3+\frac{35}{11}.\frac{121}{245}=3+\frac{35.121}{11.245}=\frac{1.11}{1.7}=\frac{11}{7}\)

Bài 1/ Ta có
13n + 7 chia hết cho 5
=> 10n + 3n + 10 - 3 chia hết cho 5
=> 3n - 3 chia hết cho 5
=> 3(n - 1) chia hết cho 5
=> n - 1 chia hết cho 5
=> n - 1 = 5k
=> n = 5k + 1
Vậy với n = 5k + 1(k tự nhiên) thì 13n + 7 chia hết cho 5

a) \(3^3.3^4=3^{3+4}=3^7\)
b) \(5^2.5^7=5^{2+7}=5^9\)
c) \(7^5.7=7^{5+1}=7^6\)
\(\left(\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{2}{7}\right)-\left(\dfrac{1}{5}-\dfrac{2}{7}\right)\\ =\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{2}{7}-\dfrac{1}{5}+\dfrac{2}{7}\\ =\dfrac{1}{3}+\left(\dfrac{1}{5}-\dfrac{1}{5}\right)+\left(\dfrac{2}{7}-\dfrac{2}{7}\right)\\ =\dfrac{1}{3}+0+0=\dfrac{1}{3}\)