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= [ ( - 7 ) + 13 ] - ( 13 - 7 - 25 ) - ( 25 + 10 - 9 )
= 6 - ( 6 - 25 ) - ( 35 - 9 )
= 6 - ( - 19 ) - 26
= 25 - 26
= - 1
a) ta có: \(\frac{-5}{6}=\frac{-10}{12};\frac{-3}{4}=\frac{-9}{12}\)
\(\frac{7}{8}=\frac{357}{408};\frac{7}{24}=\frac{119}{408};\frac{16}{17}=\frac{384}{408};\frac{2}{3}=\frac{272}{408}\)
\(\Rightarrow\frac{-10}{12}< \frac{-9}{12}< \frac{119}{408}< \frac{272}{408}< \frac{357}{408}< \frac{384}{408}\)
\(\Rightarrow\frac{-5}{6}< \frac{-3}{4}< \frac{7}{24}< \frac{2}{3}< \frac{7}{8}< \frac{16}{17}\)
b) ta có: \(\frac{205}{107}=1\frac{98}{107}>1\)\(\frac{-5}{8};\frac{7}{10};\frac{-16}{19};\frac{20}{26}=\frac{10}{13};\frac{214}{315}< 1\)
ta có: \(\frac{-5}{8}=\frac{-95}{152};\frac{-16}{19}=\frac{-128}{152}\)
\(\frac{7}{10}=\frac{5733}{8190};\frac{20}{26}=\frac{10}{13}=\frac{6300}{8190};\frac{214}{315}=\frac{5564}{8190}\)
\(\Rightarrow\frac{205}{107}>\frac{6300}{8190}>\frac{5733}{8190}>\frac{5564}{8190}>\frac{-95}{152}>\frac{-128}{152}\)
=> ...
9 - 25 = ( - 7 - x ) - ( 25 - 7 )
9 - 25 = - 7 - x - 25 + 7
9 - 25 = - x - 25
- 14 = - x - 25
=> x thuộc rỗng
11 + ( 15 - 11 ) = - 4 . x - ( 25 - 10 )
11 + 15 - 11 = - 4 . x - 25 + 10
15 = - 4 . x - 15
=> = - 4 . x
17 - { - x - ( - x ) } = - 1
17 + x + x = - 1
17 + 2x = - 1
2x = - 1 - 17
2x = - 18
x = - 18 : 2
x = - 9
=> - x = 9
x + { ( x + 3 ) - [ ( x + 3 ) - ( - x - 2 )]} = x
x + { x + 3 - [ x + 3 + x + 2 ]} = x
x + x + 3 - x - 3 - x - 2 = x
x - x - 2 = 2
x - 2 = 2 - x
=> x = 0
5.7.77-7.60+49.25-15.42
= 5.7.77-7.5.12+7.7.5.5-3.5-3.5.6.7
= 35.77-35.12+35.35-35.18
= 35.(77-12+35-18)
= 35.82
= 2870
\(a,\frac{x}{6}=\frac{5}{24}\)
\(\Rightarrow\frac{4x}{24}=\frac{5}{24}\)
\(\Rightarrow4x=5\)
\(\Rightarrow x=\frac{5}{4}\)
\(b,\frac{-4}{x}=\frac{20}{14}\)
\(\Rightarrow\left(-4\right).14=20.x\)
\(\Rightarrow-56=20x\)
\(\Rightarrow x=-56\div20\)
\(\Rightarrow x=\frac{-14}{5}\)
\(c,\frac{4}{7}=\frac{12}{x}\)
\(\Rightarrow4.x=12.7\)
\(\Rightarrow4x=84\)
\(\Rightarrow x=84\div4\)
\(\Rightarrow x=21\)
\(d,\frac{3}{7}=\frac{x}{21}\)
\(\Rightarrow3.21=7.x\)
\(\Rightarrow63=7x\)
\(\Rightarrow x=63\div7\)
\(\Rightarrow x=9\)
24 . 25 + ( 4 . 6 ) . 37 + 24 . 38
24 . 25 + 24 . 37 + 24 . 38
24 . ( 25 + 37 + 38 )
24 . 100
2400
24 . 25 + 4 . 37 . 6 +24 . 38
= 24 . 25 + 24 . 37 + 24 . 38
= 24 . ( 25 + 38 + 37 )
= 24 . 100 = 2400
Ta có :
N = ( 215 - 212 ) + ( 24 - 2 )
N = ( 212.23 - 212 ) + ( 2.23 - 2 )
N = 212 ( 23 - 1 ) + 2 ( 23 - 1 )
N = ( 23 - 1 ).( 212 + 2 )
N = ( 8 - 1 ).( 212 + 2 )
N = 7.( 212 + 2 ) chia hết cho 7 ( đpcm )
25 . 7 . 4 . 10
= ( 25 . 4 ) . ( 7 . 10 )
= 100 . 70
= 7000
\(25.7.4.10\)
\(=\left(25.4\right).\left(7.10\right)\)
\(=100.70\)
\(=7000\)
chúc bạn học giỏi ^^