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a) 0,7 * 0,25 * 2,4
= 0,7 * (0,25 * 2,4)
= 0,7 * 0,6 = 0,42
b) 6,33 + 9,48 + 3,67 2,52
= (6,33 + 3,67) + (9,48 + 2,52)
= 10 + 12 = 22
c) 2,5 * 12,5 * 0,8 * 4
= (2,5 * 4) * (12,5 * 0,8) = 10 * 10 = 100
d) 20,09 - 3,49 - 6,51
= 20,09 - (3,49 + 6,51)
= 20,09 - 10 = 10,09
Chúc pn học tốt
1.
a) \(\dfrac{5}{18}+\dfrac{4}{7}+\dfrac{13}{18}+\dfrac{3}{7}\)
\(=\left(\dfrac{5}{18}+\dfrac{13}{18}\right)+\left(\dfrac{4}{7}+\dfrac{3}{7}\right)\)
\(=1+1=2\)
b) \(\dfrac{4}{9}.\dfrac{5}{19}.\dfrac{9}{4}\)
\(=\left(\dfrac{4}{9}.\dfrac{9}{4}\right).\dfrac{5}{19}\)
\(=1.\dfrac{5}{19}=\dfrac{5}{19}\)
tik mik nha!!!
2) \(\dfrac{4}{9}.\dfrac{5}{19}.\dfrac{9}{4} =(\dfrac{4}{9}.\dfrac{9}{4}).\dfrac{5}{19} =1.\dfrac{5}{19} =\dfrac{5}{19}\)
a) 60,7 + 25,5 - 38,7=46,8
b) (-9,207) + 3,8 + (-1,5030) - 2,8=-9,71
c) (-12,5) + 17,55 + (-3,5) - (-2,45)=4
\(\overline{aaabbb}=111000a+111b=37.3000a+37.3b=37\left(3000a+3b\right)\)
Vì \(37\left(3000a+3b\right)\) \(⋮\) 37 nên \(\overline{aaabbb}\) \(⋮\) 37
\(\Rightarrow\) ĐPCM
\(\dfrac{1}{5\cdot8}+\dfrac{1}{8\cdot11}+\dfrac{1}{11\cdot14}+...+\dfrac{1}{x\left(x+3\right)}=\dfrac{101}{1540}\)
\(\Leftrightarrow\dfrac{1}{3}\left(\dfrac{3}{5\cdot8}+\dfrac{3}{8\cdot11}+\dfrac{3}{11\cdot14}+...+\dfrac{3}{x\left(x+3\right)}\right)=\dfrac{101}{1540}\)
\(\Leftrightarrow\dfrac{1}{3}\left(\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11}+...+\dfrac{1}{x}-\dfrac{1}{x+3}\right)=\dfrac{101}{1540}\)
\(\Leftrightarrow\dfrac{1}{3}\left(\dfrac{1}{5}-\dfrac{1}{x+3}\right)=\dfrac{101}{1540}\)\(\Leftrightarrow\dfrac{1}{5}-\dfrac{1}{x+3}=\dfrac{303}{1540}\)
\(\Leftrightarrow\dfrac{1}{x+3}=\dfrac{1}{308}\)\(\Rightarrow x+3=308\Rightarrow x=305\)
\(\dfrac{1.2}{3.2}+\dfrac{1.2}{6.2}+.....+\dfrac{1.2}{2\left(x+1\right):2.2}\)=\(\dfrac{1998}{2000}\)
\(\dfrac{2}{6}+\dfrac{2}{12}+.....+\dfrac{2}{x\left(x+1\right)}\)=\(\dfrac{1998}{2000}\)
\(2\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+.....+\dfrac{1}{x}-\dfrac{1}{x+1}\right)=\dfrac{1998}{2000}\)
\(2\left(\dfrac{1}{2}-\dfrac{1}{x+1}\right)=\dfrac{1998}{2000}\)
\(\dfrac{1}{2}-\dfrac{1}{x+1}=\dfrac{1998}{2000}:2\)
\(\dfrac{1}{x+1}=\dfrac{1}{2}-\dfrac{999}{2000}\)
\(\dfrac{1}{x+1}=\dfrac{1}{2000}\)
suy ra x+1=2000
suy ra x=2000-1=1999
3,67 . 58,35 + 58,35 . 6,33
= ( 3,67 + 6,33 ) . 58,35
= 10 . 58,35
= 583,5
~ Chúc bạn học giỏi ! ~