180 : ( 18 x 5 )

= 180 : 90

= 2

b) 240 : ( 2 x 3 x 4 )

= 240 : 24

= 10

c) 4400 : ( 22 x 35 ) 

= 4400 : 770

= \(\dfrac{40}{7}\)

a: \(42=2\cdot3\cdot7;70=2\cdot5\cdot7\)

=>\(BCNN\left(42;70\right)=2\cdot3\cdot5\cdot7=210\)

=>\(BC\left(42;70\right)=B\left(210\right)=\left\{0;210;420;...\right\}\)

b: \(70=2\cdot5\cdot7;180=3^2\cdot5\cdot2^2\)

=>\(BCNN\left(70;180\right)=2^2\cdot3^2\cdot5\cdot7=1260\)

=>\(BC\left(70;180\right)=\left\{1260;2520;...\right\}\)

c: \(5=5;7=7;8=2^3\)

=>\(BCNN\left(5;7;8\right)=5\cdot7\cdot8=280\)

=>\(BC\left(5;7;8\right)=\left\{280;560;...\right\}\)

d: \(12=2^2\cdot3;18=3^2\cdot2\)

=>\(BCNN\left(12;18\right)=2^2\cdot3^2=36\)

=>\(BC\left(12;18\right)=\left\{36;72;...\right\}\)

e: \(15=3\cdot5;18=3^2\cdot2\)

=>\(BCNN\left(15;18\right)=3^2\cdot2\cdot5=90\)

=>\(BC\left(15;18\right)=\left\{90;180;...\right\}\)

f: \(84=2^2\cdot3\cdot7;108=3^3\cdot2^2\)

=>\(BCNN\left(84;108\right)=2^2\cdot3^3\cdot7=756\)

=>\(BC\left(84;108\right)=\left\{756;1512;...\right\}\)

j: \(33=3\cdot11;44=2^2\cdot11;55=5\cdot11\)

=>\(BCNN\left(33;44;55\right)=3\cdot2^2\cdot5\cdot11=660\)

=>\(BC\left(33;44;55\right)=\left\{660;1320;...\right\}\)

g: \(1=1;12=2^2\cdot3;27=3^3\)

=>\(BCNN\left(1;12;27\right)=1\cdot2^2\cdot3^3=108\)

=>\(BC\left(1;12;27\right)=\left\{108;216;...\right\}\)

n: \(5=5;9=3^2;11=11\)

=>\(BCNN\left(5;9;11\right)=5\cdot3^2\cdot11=495\)

=>\(BC\left(5;9;11\right)=\left\{495;990;...\right\}\)

(\(x\) + 2) + (\(x\) + 4) +...+ (\(x\) + 18) = 180

xét dãy số:  2; 4; ...;18

Dãy số trên là dãy số cách đều với khoảng cách là: 4-2 = 2

Số số hạng của dãy số trên là: (18 - 2) : 2 + 1 = 9

Vậy ta có: 

9\(x\) + ( 18 + 2) \(\times\) 9: 2 = 180

9\(x\) + 90 = 180

9\(x\)         = 90

  \(x\)         = 10

1)tính

a)\(-17+\left(-19\right)+25\)

\(=-17-19+25\)

\(=-\left(17+19\right)+25\)

\(=-36+25\)

\(=-\left(36-25\right)\)

\(=-11\)

b)\(-26+\left(-25\right)-18\)

\(=-26-25-18\)

\(=-\left(26+25\right)-18\)

\(=-51-18\)

​\(=-\left(51+18\right)\)​

\(=-69\)

c)\(35-\left(-19\right)-19-8\)

\(=35+19-19-8\)

\(=35+\left(19-19\right)-8\)

\(=35+0-8\)

\(=35-8\)

\(=27\)

d)\(1963-\left(-180\right)-1990\)

\(=1963+180-1990\)

\(=2143-1990\)

\(=153\)

2)Tìm x thuộc z biết

a)\(x-\left(-18\right)=25+\left(-17\right)\)

\(\Leftrightarrow x+18=25-17\)

\(\Leftrightarrow x+18=8\)

\(\Leftrightarrow x=8-18\)

\(\Leftrightarrow x=-10\)

Vậy x=-10

b)\(x-28=-27-30\)

\(\Leftrightarrow x-28=-\left(27+30\right)\)

\(\Leftrightarrow x-28=-57\)

\(\Leftrightarrow x=-57+28\)

\(\Leftrightarrow x=-\left(57-28\right)\)

\(\Leftrightarrow x=-29\)

Vậy x=-29

c)\(35-\left(-x\right)=27-18-\left(-8\right)\)

\(\Leftrightarrow35+x=27-18+8\)

\(\Leftrightarrow35+x=9+8\)

\(\Leftrightarrow35+x=17\)

\(\Leftrightarrow x=17-35\)

\(\Leftrightarrow x=-18\)

Vậy x=-18

d)\(40+\left(-x\right)=35-\left(-27\right)\)

\(\Leftrightarrow40-x=35+27\)

\(\Leftrightarrow40-x=62\)

\(\Leftrightarrow x=40-62\)

\(\Leftrightarrow x=-22\)

Vậy x=-22