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a) \(\frac{42}{-37}=-\frac{42}{37}=-\frac{37+5}{37}=-1-\frac{5}{37}\) ; \(-\frac{56}{43}=-\frac{43+13}{43}=-1-\frac{13}{43}\)
So sánh \(\frac{5}{37}\) với \(\frac{13}{43}\) thì dễ dàng được \(\frac{5}{37}< \frac{13}{43}\)
Do đó \(\frac{42}{-37}>\frac{-56}{43}\)
b) Dễ thấy \(\frac{37}{67}>0>-\frac{377}{677}\)
\(\frac{42}{-37}va\frac{-56}{43}\)
\(\frac{42}{-37}=\frac{-42}{37}=\frac{-1806}{1591}\)
\(\frac{-56}{37}=\frac{-2408}{1591}\)
Vì\(\frac{-1806}{1591}>\frac{-2408}{1591}\)
=>\(\frac{42}{-37}>\frac{-56}{43}\)
\(\frac{217}{18}va\frac{217}{19}\)
Vì\(\frac{217}{18}>\frac{217}{19}\)
=>\(\frac{217}{18}>\frac{217}{19}\)
\(\frac{-9}{14}va\frac{19}{-25}\)
\(\frac{-9}{14}=\frac{-225}{350};\frac{19}{-25}=\frac{-19}{25}=\frac{-266}{350}\)
Vì\(\frac{-225}{350}>\frac{-266}{350}\)
=>\(\frac{-9}{14}>\frac{19}{-25}\)
Chúc bạn học tốt!
a)\(\frac{18}{-39}=-\frac{18}{39}\)
Vì -17>-18 nên \(-\frac{17}{39}>-\frac{18}{39}\)(1)
Vì 39<41 nên \(-\frac{17}{39}< -\frac{17}{41}\)(2)
Từ (1);(2)=>\(\frac{-18}{39}< -\frac{17}{39}< -\frac{17}{41}\)
b)Ta có: \(\frac{42}{-37}=-\frac{42}{37}>\frac{-42}{35}=\frac{-6}{5}=-1,2\); \(-\frac{56}{43}< -\frac{55}{43}< -\frac{55}{44}=-\frac{5}{4}=-1,25\)
Vì -1,2>-1,25 nên 42/-37>-56/43
c)Ta có:25049<25259 hay 37*677<67*377 nên 37/67<377/677
d)Ta có:\(\frac{5}{8}=\frac{10}{16}< \frac{34}{16}=\frac{17}{8}< \frac{17}{19}\); \(\frac{17}{19}< 1;\frac{22}{17}>1=>\frac{22}{17}>\frac{17}{19}\)
=>\(\frac{22}{17}>\frac{17}{19}>\frac{5}{8}\)
làm hơi lâu
Ta có:
7/12 = 4/12 + 3/12 = 1/3 + 1/4 = 20/60 + 20/80
1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 = (1/41 + 1/42 + 1/43 + ...+ 1/60) + (1/61 + 1/62 +...+ 1/79 + 1/80)
Do 1/41> 1/42 > 1/43 > ...>1/59 > 1/60
=> (1/41 + 1/42 + 1/43 + ...+ 1/60) > 1/60 + ...+ 1/60 = 20/60
và 1/61> 1/62> ... >1/79> 1/80
=> (1/61 + 1/62 +...+ 1/79 + 1/80) > 1/80 + ...+ 1/80 = 20/80
Vậy: 1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 > 20/60 + 20/80 = 7/12
=> 1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 > 7/12
\(A>B\)
Có \(x=\frac{2020}{2019}\) và \(y=\frac{2021}{2020}\). Xét phần hơn
Có \(x-1=\frac{2020}{2019}-1=\frac{2020}{2019}-\frac{2019}{2019}=\frac{1}{2019}\)
Có \(y-1=\frac{2021}{2020}-1=\frac{2021}{2020}-\frac{2020}{2020}=\frac{1}{2020}\)
Vì \(\frac{1}{2019}>\frac{1}{2020}\Leftrightarrow\frac{2020}{2019}>\frac{2021}{2020}\Rightarrow x>y\)
`@` `\text {Ans}`
`\downarrow`
`a)`
`-(-18 + 45) - (18 + 55)`
`= 18 - 45 - 18 - 55`
`= (18 - 18) - (45 + 55)`
`= -100`
`b)`
`24. (5 - 178) + 178 . (10 + 24)`
`= 24.5 - 24.178 + 178. 10 + 178. 24`
`= 24.5 + 178.(-24 + 10 + 24)`
`= 24.5 + 178.10`
`=120 + 1780`
`=``1900`
`c)`
`29.(-101)`
`= -2929`
`d)`
\((- 56 + 130) – (43 – 56) – (- 20 – 43)\)
`= -56 + 130 - 43 + 56 + 20 + 43`
`= (56 - 56) + (130 + 20) + (-43+43)`
`= 150`