kết bạn nha!

tk mình nha mình chỉ có một điểm hỏi đáp thôi

a) 75 : 25 = ( 75 : 5 ) : ( 25 : 5 ) = 15 : 5 = 3.

b) 90 : 18 = ( 90 : 9 ) : ( 18 : 9 ) = 10 : 2 = 5.

Kích mình nha!!!

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

`75:25=(75:5):(25:5)=15:5`

`90:18=(90:9):(18:9)=10:2`

a ) 10 + 12 + 14 + 16 + 18 + 20 

= ( 10 + 20 ) + ( 14 + 16 ) + ( 12 + 18 )
=  30 + 30 + 30 

=  90

b ) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

= ( 19 + 1 ) + ( 17 + 3 ) + ( 15 + 5 ) + ( 7 + 13 ) + ( 9 + 11 )

= 20 + 20 + 20 + 20 + 20

= 100

c ) 75 + 110 + 25 + 90 + 200

= ( 75 + 25 ) + ( 110 + 90 ) + 200

= 100 + 200 + 200

= 500

do em chưa học tính chất dãy số nên không còn cách nhanh hơn 

a 10 + 12 + 14 + 16 + 18 + 20

= ( 10 + 20 ) + ( 14 + 16 ) + ( 12 + 18 )

= 40 + 40 + 40

= 40 x 3

= 120

b 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

= ( 1 + 19 ) + ( 3 + 17 ) + ( 5 + 15 ) + ( 7 + 13 ) + ( 9 + 11 )

= 20 + 20 + 20 + 20 + 20

= 20 x 5

= 100

c 75 + 110 + 25 + 90 + 200

= ( 75 + 25 ) + ( 110 + 90 ) + 200

= 100 + 200 + 200

= 500

\(\frac{10}{15}=\frac{34}{51}=\frac{36}{54}\)

\(\frac{15}{20}=\frac{51}{68}=\frac{54}{72}\)

\(B=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{41.43}\)

\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{41}-\frac{1}{43}\)

\(=\frac{1}{3}-\frac{1}{43}\)

\(=\frac{40}{129}\)

p/s: chúc bạn học tốt

1000010000803

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