a) \(\dfrac{-5}{9}-\dfrac{4}{15}+\dfrac{2}{9}-\dfrac{11}{15}\)

\(=\left(\dfrac{-5}{9}+\dfrac{2}{9}\right)-\left(\dfrac{4}{15}+\dfrac{11}{15}\right)\)

\(=\dfrac{-3}{9}-\dfrac{15}{15}\)

\(=-\dfrac{1}{3}-1\)

\(=-\dfrac{4}{3}\)

b) \(\dfrac{-8}{13}-\dfrac{7}{16}+\dfrac{21}{13}-\dfrac{1}{6}\)

\(=\left(\dfrac{-8}{13}+\dfrac{21}{13}\right)-\dfrac{7}{16}-\dfrac{1}{6}\)

\(=\dfrac{13}{13}-\dfrac{29}{48}\)

\(=1-\dfrac{29}{48}\)

\(=\dfrac{19}{48}\)

c) \(\dfrac{-15}{25}-\dfrac{14}{21}+\dfrac{8}{5}-\dfrac{5}{3}\)

\(=\dfrac{-3}{5}-\dfrac{2}{3}+\dfrac{8}{5}-\dfrac{5}{3}\)

\(=\left(\dfrac{-3}{5}+\dfrac{8}{5}\right)-\left(\dfrac{2}{3}+\dfrac{5}{3}\right)\)

\(=\dfrac{5}{5}-\dfrac{7}{3}\)

\(=1-\dfrac{7}{3}\)

\(=-\dfrac{4}{3}\)

a: =-5/9+2/9-11/15-4/15

=-3/9-1

=-12/9=-4/3

b: =-8/13+21/13-7/16-1/6

=1-1/6-7/16

=5/6-7/16

=19/48

c: =-15/25+8/5-2/3-5/3

=-7/3+1

=-4/3

a) \(-\dfrac{5}{9}-\dfrac{4}{15}+\dfrac{2}{9}-\dfrac{11}{15}\)

\(=\left(-\dfrac{5}{9}+\dfrac{2}{9}\right)+\left(-\dfrac{4}{15}-\dfrac{11}{15}\right)\)

\(=-\dfrac{1}{3}-1=-\dfrac{4}{3}\)

b) \(-\dfrac{8}{13}-\dfrac{7}{16}+\dfrac{21}{13}-\dfrac{1}{16}\)(sửa đề)

\(=\left(-\dfrac{8}{13}+\dfrac{21}{13}\right)+\left(-\dfrac{7}{16}-\dfrac{1}{16}\right)\)

\(=1-\dfrac{1}{2}=\dfrac{1}{2}\)

c) \(-\dfrac{15}{25}-\dfrac{14}{21}+\dfrac{8}{5}-\dfrac{5}{3}\)

\(=-\dfrac{3}{5}-\dfrac{2}{3}+\dfrac{8}{5}-\dfrac{5}{3}\)

\(=\left(-\dfrac{3}{5}+\dfrac{8}{5}\right)-\left(\dfrac{2}{3}+\dfrac{5}{3}\right)\)

\(=1-\dfrac{7}{3}=\dfrac{-4}{3}\)

Phương pháp giải:

Tính theo thứ tự từ phải sang trái rồi điền kết quả vào chỗ trống. 

Lời giải chi tiết:

    14 + 9 + 7 = 30

    25 + 25 − 19 = 31

    44 + 48 − 38 = 54       

    63 − 15 + 27 = 75

14+9+7=30

25+25-19=31

44+48-38=54

63-15+27=77

Dễ

Tách từng câu ra giùm, như này ai giải nổi:)))))

a) 36 + 12 + 14 + 38 = (36 + 14) + (12 + 38)

                                 = 50 + 50

                                 = 100

b) 2 x 3 x 5 000 = (2 x 5 000) x 3

                          = 10 000 x 3

                          = 30 000

c) 9 x 13 + 9 x 7 = 9 x (13 + 7)

                          = 9 x 20

                          = 180

a) \(\dfrac{-25}{19}< \dfrac{-13}{19}< \dfrac{9}{19}< \dfrac{14}{19}< \dfrac{20}{19}< \dfrac{30}{19}< \dfrac{42}{19}\)

b) \(\dfrac{-2}{15}< \dfrac{-1}{10}< \dfrac{1}{6}< \dfrac{1}{5}< \dfrac{4}{15}< \dfrac{1}{3}< \dfrac{2}{5}\)

\(\text{Ta có : }\)\(\frac{25}{4.9}+\frac{25}{9.14}+\frac{25}{14.19}+......+\frac{25}{2004.2009}\)

\(=5.\left(\frac{5}{4.9}+\frac{5}{9.14}+\frac{5}{14.19}+......+\frac{5}{2004.2009}\right)\)

\(=5\left(\frac{1}{4}-\frac{1}{9}+\frac{1}{9}-\frac{1}{14}+......+\frac{1}{2004}-\frac{1}{2009}\right)\)

\(=5\left(\frac{1}{4}-\frac{1}{2009}\right)\)

\(=5.\frac{2005}{8036}=\frac{10025}{8036}\)

Bài 1: 

a: -8/12<0<-3/-4

b: -56/24<0<7/3

c: 4/25<1<15/13

=>-4/25>-15/13

Bài 2: 

a: =-60/45=-4/3

b: =4/15-3/2-8/5=8/30-45/30-48/30=-85/30=-17/6

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

10+12+14+16+18+20=90

1+3+5+7+9+11+13+15+17+19=100

75+110+25+90+200=500

tk nhé

9/14 .<.. 11/14           4/25 .<.. 4/23          5/6 ..<. 7/8         1 ..>. 14/15

8/9 ..=. 24/27             20/19 ..>. 20/27        8/7 .>.. 9/8        1 .<..15/14

\(\dfrac{9}{14}< \dfrac{11}{14};\dfrac{8}{9}=\dfrac{24}{27}\)

\(\dfrac{4}{25}< \dfrac{4}{23};\dfrac{20}{19}>\dfrac{20}{27}\)

\(\dfrac{5}{6}< \dfrac{7}{8};\dfrac{8}{7}>\dfrac{9}{8}\)

\(1>\dfrac{14}{15};1< \dfrac{15}{14}\)

9/14 .<.. 11/14           4/25 .<.. 4/23          5/6 ..<. 7/8         1 ..>. 14/15

8/9 ..=. 24/27             20/19 ..>. 20/27        8/7 .>.. 9/8        1 .<..15/14