tui con nho maaaaaaaa

??????????????/

?????? 

a) Vì \(-45< -16\) nên \(\left(-\dfrac{45}{17}\right)^{15}< \left(\dfrac{-16}{17}\right)^{15}\)

b) Vì \(21< 23\) nên \(\left(-\dfrac{8}{9}\right)^{21}< \left(-\dfrac{8}{9}\right)^{23}\)

c) \(27^{40}=3^{3^{40}}=3^{120}\)

\(64^{60}=8^{2^{60}}=8^{120}\)

Vì \(3< 8\) nên \(3^{120}< 8^{120}\) hay \(27^{40}< 64^{60}\)

\(\dfrac{7}{19}x\dfrac{8}{23}+\dfrac{7}{19}x\dfrac{15}{23}+1\dfrac{7}{19}\)

= \(\dfrac{7}{19}x\left(\dfrac{8}{23}+\dfrac{15}{23}\right)+1+\dfrac{7}{19}\)

=\(\dfrac{7}{19}x1+1+\dfrac{7}{19}\)

= \(\dfrac{7}{19}+1+\dfrac{7}{19}=1\dfrac{14}{19}\) = \(\dfrac{33}{19}\)

\(\dfrac{75}{100}+\dfrac{18}{21}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{3}{21}-\dfrac{17}{32}\)

=  \(\dfrac{3}{4}+\dfrac{6}{7}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{1}{7}-\dfrac{17}{32}\)

= \(\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{6}{7}+\dfrac{1}{7}\right)+\left(\dfrac{49}{32}-\dfrac{17}{32}\right)\)

= 1 + 1 + 1 = 3

\(\dfrac{8}{9}x\dfrac{15}{16}x\dfrac{24}{25}x\dfrac{35}{36}x\dfrac{48}{49}x\dfrac{63}{64}\)

= \(\dfrac{3}{4}\) *Câu này bạn tự sử dụng gạch nhé!

`1,`

`a,`

`7/19 \times 8/23 + 7/19 \times 15/23 + 1 7/19`

`= 7/19 \times 8/23 + 7/19 \times 15/23 + 1 + 7/19`

`= 7/19 \times (8/23 + 15/23 + 1) + 1`

`= 7/19 \times 2 + 1`

`=14/19 + 1`

`= 33/19`

`b,`

`75/100 + 18/21 + 49/32 + 1/4 + 3/21 - 17/32`

`= 75/100 + (18/21 + 3/21) + (49/32 - 17/32) + 1/4`

`= 0,75 + 1 + 1 + 0,25`

`= (0,75 + 0,25) + 1 + 1`

`= 1+1+1=3`

`c,`

`8/9 \times 15/16 \times 24/25 \times 35/36 \times 48/49 \times 63/64`

`=` \(\dfrac{2\times3}{3\times3}\times\dfrac{3\times5}{4\times4}\times\dfrac{3\times4\times2}{5\times5}\times\dfrac{5\times7}{6\times6}\times\dfrac{6\times8}{7\times7}\times\dfrac{7\times9}{8\times8}\)

`= 3/4` (bạn sử dụng gạch, rút gọn các số là được nhé).

a) 1-5+7-8+4-1+5-7+8

=(1-1) - (-5+5) -(7-7) -(-8+8) +4

=0

b)=-39+9

=-30

c)=(20-20)-(-4+4)-(8-8)-17+15

=-2

d)= (13-13)-(-98+98)-(91-91)-75

=-75

B = 1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160

B = 412

Quy luật, kể từ số thứ ba thì bằng tổng của 2 số trước

C = 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97 

C = 250

Quy luật : Tương tự dãy B

a/A= 1 + 7 + 8 + 15 + 23 +38+ 61+ 99+160 
= 1+ (8-1) + (15-7) + (23-8)+(38-15) + (61-23)+(99-38)+ (160-61) + (259-99) 
(gạch bỏ 8 với -8 ; 1 với -1 ;............;.99 với -99) 
= -7 + 160 +259=412 
b / B = ! + 4 + 5 +9 + 14 + 23+37 + 60 + 97 
= 1 +(5-1) + (9-4)+(14-5) +(23-9)+(37-14)+(60-23)+(97-37)+(157-60) 
(gạch bỏ 1 với -1 ; 5 với -5 ;............;.60 với -60) 
= -4+97+157=250 
c / C = 78 * 31 + 78*24 + 78 * 17 + 22*72 
C = 78x(31+24+17) +22x72 
C= 78x72 + 22x72 
C = 72X(78+22) 
C=72X100=7200

a/A= 1 + 7 + 8 + 15 + 23 +38+ 61+ 99+160 
= 1+ (8-1) + (15-7) + (23-8)+(38-15) + (61-23)+(99-38)+ (160-61) + (259-99) 
(gạch bỏ 8 với -8 ; 1 với -1 ;............;.99 với -99) 
= -7 + 160 +259=412 
b / B = ! + 4 + 5 +9 + 14 + 23+37 + 60 + 97 
= 1 +(5-1) + (9-4)+(14-5) +(23-9)+(37-14)+(60-23)+(97-37)+(157-60) 
(gạch bỏ 1 với -1 ; 5 với -5 ;............;.60 với -60) 
= -4+97+157=250 
c / C = 78 * 31 + 78*24 + 78 * 17 + 22*72 
C = 78x(31+24+17) +22x72 
C= 78x72 + 22x72 
C = 72X(78+22) 
C=72X100=7200

đầy đủ nhất

a, -(-5)-(+7)+(+3)+(-8)

= 5 - 7 + 3 + (-8)

= (-2) + 3 + (-8)

= 1 + (-8)

= -7

b, -(-15)-|-10|+|-9|-|5I

= 15 - 10 + 9 - 5

= 5 + 9 - 5

= 14 - 5

= 9

c, 14-(-13)-(17)+(-12)

= 14 + 13 - 17 + (-12)

= 27 - 17 + (-12)

= 10 + (-12)

= 2

d, -|-14| + |-10| - (-12) + (-8)

= -14 + 10 + 12 + (-8)

= (-4) + 12 + (-8)

= 7 + (-8)

= -1

e, -(-11) + (-15) + (13) - 21

toan lop 6 ma chi

a) \(\dfrac{3}{8}+\dfrac{15}{-25}+\dfrac{3}{5}\)

\(=\dfrac{-9}{40}+\dfrac{3}{5}\)

\(=\dfrac{3}{8}\)

b) \(\dfrac{-5}{18}+\dfrac{23}{45}-\dfrac{9}{10}\)

\(=\dfrac{7}{30}-\dfrac{9}{10}\)

\(=\dfrac{-2}{3}\)

c) \(\dfrac{-5}{12}+\dfrac{15}{18}-2,25\)

\(=\dfrac{5}{12}-2,25\)

\(=\dfrac{-11}{6}\)

d) \(\dfrac{5}{6}+\dfrac{2}{3}-0,5\)

\(=\dfrac{3}{2}-0,5\)

\(=1\)

tick cho mink nhé bn ✔

Giải:

a) \(2\dfrac{17}{20}-1\dfrac{15}{11}+6\dfrac{9}{20}:3\)

\(=\dfrac{57}{20}-\dfrac{26}{11}+\dfrac{129}{20}:3\) 

\(=\dfrac{107}{220}+\dfrac{43}{20}\)

\(=\dfrac{29}{11}\)

b) \(4\dfrac{3}{7}:\left(\dfrac{7}{5}.4\dfrac{3}{7}\right)\) 

\(=\dfrac{31}{7}:\left(\dfrac{7}{5}.\dfrac{31}{7}\right)\) 

\(=\dfrac{31}{7}:\dfrac{31}{5}\) 

\(=\dfrac{5}{7}\) 

c) \(\left(3\dfrac{2}{9}.\dfrac{15}{23}.1\dfrac{7}{29}\right):\dfrac{5}{23}\) 

\(=\left(\dfrac{29}{9}.\dfrac{15}{23}.\dfrac{36}{29}\right):\dfrac{5}{23}\) 

\(=\dfrac{60}{23}:\dfrac{5}{23}\) 

\(=12\)

\(\frac{2}{7}+\frac{5}{7}=\frac{7}{7}=1\)

\(\frac{8}{15}+\frac{6}{15}=\frac{14}{15}\)

\(\frac{2}{3}+\frac{3}{9}+\frac{4}{9}=\frac{6}{9}+\frac{3}{9}+\frac{4}{9}=\frac{9}{9}+\frac{4}{9}=\frac{13}{9}\)

1,14/15,13/9,

2/7 + 5/7 = 7/7 = 1

8/15 + 6/15 = 14/15

2/3 + 3/9 + 4/9 = 6/9 + 3/9 + 4/9 = 13/9