Kết quả của phép tính 2- 4 + 6 - 8+ 10 -12 + 14 - 16 +18 -20+ ...+ 90 - 92 là:
Nhanh giúp mk với nhé
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Kết quả của phép tính 2- 4 + 6 - 8+ 10 -12 + 14 - 16 +18 -20+ ...+ 90 - 92 là:
Nhanh giúp mk với nhé
1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9=2+4+6+8+10+12+14+16+18
=(2+8)+(4+6)+10+(12+18)+(14+16)
=10+10+10+30+30
=30+30+30
=30x3
=90
a; \(\dfrac{1}{4}\) + \(\dfrac{2}{5}\) + \(\dfrac{6}{8}\) + \(\dfrac{9}{15}\) + \(\dfrac{8}{1}\)
= (\(\dfrac{1}{4}\) + \(\dfrac{6}{8}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{9}{15}\)) + \(\dfrac{8}{1}\)
= (\(\dfrac{1}{4}\) + \(\dfrac{3}{4}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{3}{5}\)) + 8
= 1 + 1 + 8
= 2 + 8
= 10
b; \(\dfrac{1}{2}\) + \(\dfrac{2}{4}\) + \(\dfrac{3}{6}\) + \(\dfrac{4}{8}\) + \(\dfrac{5}{10}\) + \(\dfrac{6}{12}\) + \(\dfrac{7}{14}\) + \(\dfrac{8}{16}\) + \(\dfrac{10}{20}\)
= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x (\(\dfrac{2}{2}\) + \(\dfrac{3}{3}\) + \(\dfrac{4}{4}\) + \(\dfrac{5}{5}\)+ \(\dfrac{6}{6}+\dfrac{7}{7}+\dfrac{8}{8}\) + \(\dfrac{10}{10}\))
= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x (1 + 1 +1 + 1+ 1+ 1+ 1 +1)
= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x 1 x 8
= \(\dfrac{1}{2}\) + \(\)\(\dfrac{1}{2}\) x 8
= \(\dfrac{1}{2}\) + 4
= \(\dfrac{9}{2}\)
a; \(\dfrac{1}{4}\) + \(\dfrac{2}{5}\) + \(\dfrac{6}{8}\) + \(\dfrac{9}{15}\) + \(\dfrac{8}{1}\)
= (\(\dfrac{1}{4}\) + \(\dfrac{6}{8}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{9}{15}\)) + 8
= (\(\dfrac{1}{4}\) + \(\dfrac{3}{4}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{3}{5}\)) + 8
= 1 + 1 + 8
= 2 + 8
= 10
b; \(\dfrac{1}{2}\) + \(\dfrac{2}{4}\) + \(\dfrac{3}{6}\) + \(\dfrac{4}{8}\) + \(\dfrac{5}{10}\) + \(\dfrac{6}{12}\) + \(\dfrac{7}{14}\) + \(\dfrac{8}{16}\) + \(\dfrac{9}{18}\) + \(\dfrac{10}{20}\)
= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\)
= \(\dfrac{1}{2}\) x 10
= 5
= (20 - 18 ) + (16 - 14 ) + ( 12 - 10 ) + ( 8 - 6 ) + ( 4 - 2 )
= 2 + 2 + 2 + 2 + 2
= 2 x 5
= 10
D = 2 + 4 - 6 - 8 + 10 + 12 - 14 - 16 + 18 + 20 - 22 - 24 + ... + 205 + 206 - 207 - 208
D = ( 2 + 4 - 6 - 8 ) + ( 10 + 12 - 14 - 16 ) + ( 18 + 20 - 22 - 24 ) + ... + ( 205 + 206 - 207 - 208 )
D = ( -8 ) + ( -8 ) + ( -8 ) + ... + ( -8 )
D = ( -8 ) . 104
D = -832
2-4+6-8+10-12+14-16+18-20+22
=(2-4)+(6-8)+(10-12)+(14-16)+(18-20)+22
=(-2)+(-2)+(-2)+(-2)+(-2)+22
=(.2).5 +22
=(-10)+22= 12.
\(\text{2- 4 + 6 - 8+ 10 -12 + 14 - 16 +18 -20+ ...+ 90 - 92}\)
\(=\text{(2- 4 )+ (6 - 8)+ (10 -12 )+ (14 - 16 )+(18 -20)+ ...+ (90 - 92)}\)(có 46 cặp)
\(=-2.46\)
\(=-92\)
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