tính = cách hợp lí nhất

g: \(=-457+237+23-123=-220-100=-320\)

h: \(=\left(1-3\right)+\left(5-7\right)+...+\left(41-43\right)+\left(45-47\right)\)

\(=\left(-2\right)+\left(-2\right)+...+\left(-2\right)+\left(-2\right)\)

\(=-2\cdot12=-24\)

i: \(=173+27-46-54-19=200-100-19=100-19=81\)

k: \(=-52+82+49-15+13-36\)

\(=30+34-23\)

=30+11

=41

l: \(=\left(3-5\right)+\left(7-9\right)+\left(11-13\right)+\left(15-17\right)\)

\(=\left(-2\right)+\left(-2\right)+\left(-2\right)+\left(-2\right)\)

=-8

m: \(=\left(1-2\right)+\left(3-4\right)+...+\left(2001-2002\right)+2003\)

\(=2003-1-1-...-1\)

\(=2003-1001=1002\)

n:Số số hạng là:

\(\left[\left(-51\right)-\left(-99\right)\right]:1+1=49\left(số\right)\)

Tổng là \(\left(-51-99\right)\cdot\dfrac{49}{2}=-3675\)

o: \(=-62-38+1523-2523-92\)

\(=-100+1000-92=900-92=808\)

\(K=\frac{3^2-1}{5^2-1}.\frac{7^2-1}{9^2-1}...\frac{43^2-1}{45^2-1}\)

\(=\frac{3^2-1^2}{5^2-1^2}.\frac{7^2-1^2}{9^2-1^2}....\frac{43^2-1^2}{45^2-1^2}\)

\(=\frac{\left(3-1\right)\left(3+1\right)}{\left(5-1\right)\left(5+1\right)}.\frac{\left(7-1\right).\left(7+1\right)}{\left(9-1\right)\left(9+1\right)}....\frac{\left(43+1\right)\left(43-1\right)}{\left(45-1\right)\left(45+1\right)}\)

\(=\frac{2.4}{4.6}.\frac{6.8}{8.10}....\frac{44.42}{44.46}\)

\(=\frac{2.4.6.8...42.44}{4.6.8...44.46}=\frac{2}{46}=\frac{1}{23}\)

Vậy \(K=\frac{1}{23}\)

1) x - 2 = -6

x = - 6 + 2

x = -4

2) -5x-(-3)=13

-5x+3=13

-5x=13-3=10

x=10:(-5)

x=-2

3) 15-(x-7)=21

15-x+7=21

15-x=21-7=14

x=15-14=1

4) 3x+17=2

3x=2-17=-15

x=-15:3=-5

5) 45-(x-9)=-35

45-x+9=-35

45-x=-35-9=-44

x=45-(-44)=89

6) -5+x=15

x=15-(-5)

x=20

7) 2x-(-17)=15

2x+17=15

2x=15-17=-2

x=-2:2=-1

ai giúp mk câu này với

8) \(\left|x-2\right|=3\\ \Rightarrow x-2=\pm3\)

+) x - 2 = 3

x = 5

+) x - 2 = -3

x = -1

\(\Rightarrow x\in\left\{5;-1\right\}\)

Các câu 9; 10; 12 tương tự câu 8; còn câu 11 tương tự câu 3; 5

Chúc bạn học tốt!

Chứng minh P>3 nha!!! 

Chứng minh P>3 nha!!! 

\(\dfrac{5}{2x1}+\dfrac{4}{1x11}+\dfrac{3}{11x2}+\dfrac{1}{2x15}+\dfrac{13}{15x4}+\dfrac{15}{4x13}\)

=7x(\(\dfrac{5}{2x7}+\dfrac{4}{7x11}+\dfrac{3}{11x14}+\dfrac{1}{14x15}+\dfrac{13}{15x28}+\dfrac{15}{28x43}\))

=7x\(\dfrac{1}{2}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{14}+\dfrac{1}{14}-\dfrac{1}{15}+\dfrac{1}{15}-\dfrac{1}{28}+\dfrac{1}{28}-\dfrac{1}{43}\)=7x(\(\dfrac{1}{2}-\dfrac{1}{43}\))

=7x\(\dfrac{41}{86}\)

=\(\dfrac{287}{86}\)

5/2x1+4/1x11+3/11x2+1/2x15+13/15x4+15/4x43=7x(5/2x7+4/7x11+3/11x14+1/14x15+13/15x28+15/28x43)=7x(1/2-1/7+1/7-1/11+1/11-1/14+1/14+1/15+1/15-1/28+1/28-1/43)=7x(1/2-1/43)=7x41/86=287/86

Bài 2: 

a: Ta có: \(\dfrac{9}{11}=1-\dfrac{2}{11}\)

\(\dfrac{13}{15}=1-\dfrac{2}{15}\)

mà \(-\dfrac{2}{11}< -\dfrac{2}{15}\)

nên \(\dfrac{9}{11}< \dfrac{13}{15}\)

b: Ta có: \(\dfrac{19}{15}=1+\dfrac{4}{15}\)

\(\dfrac{15}{11}=1+\dfrac{4}{11}\)

mà \(\dfrac{4}{15}< \dfrac{4}{11}\)

nên \(\dfrac{19}{15}< \dfrac{15}{11}\)

2 câu kia đâu rùi

Bài 2: 

a: Ta có: 1315=1−2151315=1−215

mà 911<1315911<1315

b: Ta có: 1511=1+4111511=1+411

mà 1915<1511

`4/7+4`

`=4/7+4/1`

`=4/7+28/7`

`=32/7`

__

`3+6/11`

`=33/11+6/11`

`=39/11`

__

`3-5/7`

`=3/1-5/7`

`=21/7-5/7`

`=16/7`

__

`21/9-2`

`=21/9-18/9`

`=3/9`

`=1/3`

__

`15/24+2`

`=15/24+48/24`

`=63/24`

`=21/16`

__

`63/45-20/25`

`=63/45-4/5`

`=63/45-36/45`

`=27/45`

`=9/15`

__

`3/4-2/8`

`=3/4-1/4`

`=2/4`

__

`6/7-5/8`

`=48/56-35/56`

`=13/56`

__

`37/45-5/9`

`=37/45-25/45`

`=12/45`

`=4/15`

__

`46/39-11/13`

`=46/39-33/39`

`=13/39`

`=1/2`

__

`5/12+3/4+1/3`

`=5/12+9/12+4/12`

`=14/12+4/12`

`=18/12`

`=3/2`

__

`1/2+3/7+11/14`

`=7/14+6/14+11/14`

`=13/14+11/14`

`=24/14`

`=12/7`

__

`7/10-(1/5+1/4)`

`=7/10-(4/20+5/20)`

`=7/10-9/20`

`=14/20-9/20`

`=5/20`

`=1/4`

__

`15/4-2/3-3/4`

`=(15/4-3/4)-2/3`

`=12/4-2/3`

`=3-2/3`

`=9/3-2/3`

`=7/3`