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2:
=1-1+1-1=0
3:
a: =>34*(100+1)/2:a=17
=>a=101
b: =>5/3(x-1/2)=5/4
=>x-1/2=5/4:5/3=3/4
=>x=5/4
1a, \(\dfrac{2005}{2001}\) = 1+\(\dfrac{4}{2001}\); \(\dfrac{2009}{2005}\)=1+\(\dfrac{4}{2005}\)vì\(\dfrac{4}{2001}\)>\(\dfrac{4}{2005}\)nên\(\dfrac{2005}{2001}\)>\(\dfrac{2009}{2005}\)
1b,\(\dfrac{1313}{1515}\)=\(\dfrac{1313:101}{1515:101}\)= \(\dfrac{13}{15}\); \(\dfrac{131313}{151515}\)=\(\dfrac{131313:10101}{151515:10101}\)=\(\dfrac{13}{15}\)
Vậy \(\dfrac{13}{15}\)=\(\dfrac{1313}{1515}\)=\(\dfrac{131313}{151515}\)
\(=\frac{1}{2}:\frac{1}{2}-\frac{1}{4}:\frac{1}{4}+\frac{1}{8}:\frac{1}{4}-\frac{1}{10}:\frac{1}{10}\)
\(=\frac{1}{2}\cdot2-\frac{1}{4}\cdot4+\frac{1}{8}\cdot4-\frac{1}{10}\cdot10\)
\(=1-1+\frac{1}{2}-1\)
\(=0+\frac{1}{2}-1=\frac{1}{2}-\frac{2}{2}=\frac{-1}{2}\)
\(\dfrac{1}{2}\): 0,5 - \(\dfrac{1}{4}\): 0,25 + \(\dfrac{1}{8}\): 0,125 - \(\dfrac{1}{10}\) : 0,1
= 0,5 : 0,5 - 0,25 : 0,25 + 0,125 : 0,125 - 0,1 : 0,1
= 1 - 1 + 1 - 1
= 0 + 0
= 0
=1/2:1/2-1/4:1/4+1/8:1/8-1/10:1/10+5/4
=1/2x2-1/4x4+1/8x8-1/10x10+5/4
= 1 - 1 + 1 - 1+5/4
= 5/4
1/2 : 0.5 - 1/4 : 0,25 + 1/8 : 0.125 - 1/10 : 0.1
= 0.5 : 0.5 - 0.25 - 0.25 + 0.125 : 0.125 - 0.1 : 0.1
= 1 - 1 + 1 - 1
= 0
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Đúng 100 %
1/2 : 0,5 - 1/4 : 0,25 + 1/8 : 0,125 - 1/10 : 0,1
= 0,5 : 0,5 - 0,25 : 0,25 + 0,125 - 0,125 - 0,1 : 0,1
= 1 - 1 + 1 - 1
= 0 + 0
= 0
= 0,5 ; 0,5 - 0,25 : 0,25 + 0,125 : 0,125 - 0,1 : 0,1
= 1 - 1 + 1 - 1
= 0
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