\(a,\left|x+2\right|=0\)

\(\Leftrightarrow x+2=0\)

\(\Leftrightarrow x=-2\)

\(b,\left|x-5\right|=\left|-7\right|\)

\(\Leftrightarrow\left|x-5\right|=7\)

\(\Leftrightarrow\left[{}\begin{matrix}x-5=7\\x-5=-7\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-2\end{matrix}\right.\)

\(c,\left(7-x\right)-\left(25+7\right)=-25\)

\(\Leftrightarrow7-x-32=-25\)

\(\Leftrightarrow x=0\)

\(d,\left|x-3\right|=\left|5\right|+\left|-7\right|\)

\(\Leftrightarrow\left|x-3\right|=12\)

\(\Leftrightarrow\left[{}\begin{matrix}x-3=12\\x-3=-12\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=15\\x=-9\end{matrix}\right.\)

Bạn ấy thay đề trc khi anh đăng đấy em

Ta có: \(\frac{72}{73}>\frac{58}{73}\)

Mà: \(\frac{58}{73}>\frac{58}{99}\)

\(\Rightarrow\frac{72}{73}>\frac{58}{99}\)

BÀi 1:

a: (-243+345)-(257+(-55)-129)

=-243+345-257+55+129

=(-243-257)+(345+55)+129

=-500+400+129

=-100+129

=29

b: \(\left(-2\right)^3-45:\left(-3\right)^2-\left(-2019\right)^0\cdot\left(-1\right)^{2019}\)

\(=-8-\frac{45}{9}-1\cdot\left(-1\right)\)

=-8-5+1

=-13+1

=-12

c: \(\left\lbrack27\cdot\left(-67\right)+33\cdot\left(-27\right)\right\rbrack:\left(-30\right)\)

\(=\frac{-27\left(67+33\right)}{-30}\)

\(=\frac{9}{10}\cdot100=90\)

d: \(\left(1^2+2^2+\cdots+100^2\right)\left(3^4-9^2\right)\)

\(=\left(1^2+2^2+\cdots+100^2\right)\left(81-81\right)\)

=0

e: \(53\cdot47+53^2-2021^0\)

\(=53\left(53+47\right)-1\)

=5300-1

=5299

i: 38+(-21)+(-58)+(-6)

=(38-58)+(-21-6)

=-20-27

=-47

h: (2020+27)-[2020+(-73)]-129

=2020+27-2020+73-129

=100-129

=-29

\(B=1-5+5^{^2}-5^{^3}+...-5^{^{99}}+5^{^{100}}\)

\(5B=5-5^{^2}+5^{^3}-5^{^4}+...-5^{^{100}}+5^{^{101}}\)

\(5B+B=\left(5-5^{^2}+5^{^3}-5^{^4}+...-5^{^{100}}+5^{^{101}}\right)+\left(1-5+5^{^2}-5^{^3}+...-5^{^{99}}+5^{^{100}}\right)\)

\(6B=5^{^{101}}+1\)

\(B=\dfrac{5^{^{101}}+1}{6}\)

a) (-15)+ 7. (-3)

=-15-21=-36

b) 21.(17-34)-22.(-15)

=21.(-17)+330=-357+330=-27

c) (-15).(-37)+(-6).9

=555-54=501

d) (-27).(-58)-(-14).8

=1566+112=1678

dc

a) 1 267 + 99 + 501 = 1 267 + (99 + 501)

                                = 1 267 + 600 = 1 867

     25 x 14 x 4 = (25 x 4) x 14

                       = 100 x 14 = 1 400

b) 3 905 x (50 – 1) = 3 905 x 50 – 3 905 x 1

                             = 195 250 – 3 905 = 191 345

     270 : ( 27 x 2 ) = 270 : 27 : 2

                             = 10 : 2 = 5

c) 115 x 58 + 115 x 42 = 115 x (58 + 42)

                                   = 115 x 100 = 11 500

136 x 67 – 136 x 66 = 136 x (67 – 66)

                              = 136 x 1 = 136

bài 1:

gọi số lớn là a , số bé là b

Theo đề cho , ta có : 

a - b = 33 (1 )

\(\frac{a}{b}\) = 3  => a=3b (2)

Thay (2) vào (1) ta có :

a - b = 33 ↔ 3b - b = 33 ↔ 2b = 33 → b = 33 : 2 = 16,5

a = 3b → a = 3.16,5 = 49,5

Vậy số lớn là 49,5 

số bé là 16,5

bài 2 :

a) 58 . 75 + 58 . 50 - 58 . 25 

= 58 . ( 75 + 50 - 25 )

= 58 . 100 = 5800

b) 27 . 121 - 87 . 27 + 73 . 34 

= 27 . ( 121 - 87 ) + 73 . 34 

= 27 . 34 + 73 . 34

= 34 . ( 27 + 73 )

= 34. 100 = 3400