a) 8 647 + 6 500 – 13 217 = 15 147 – 13 217 = 1930

b) 15 654 - (7460 + 2140) = 15 654 – 9600 = 6054

a) 8 359 + 305 x 38

= 8359 + 11590

= 19949

b) 4 824 - (9 365 - 5 465) : 15

= 4824 - 3900 : 15

= 4824 - 260

= 4564

a) 8 359 + 305 x 38 = 8 359 + 11 590

                              = 19 949                   

b) 4 824 – (9 365 – 5 465) : 15 = 4 824 – 3 900 : 15

                                               = 4 824 – 260

                                               = 4 564

a)

\(\dfrac{4}{9}+\dfrac{2}{9}-\dfrac{5}{18}\\ =\dfrac{6}{9}-\dfrac{5}{18}\\ =\dfrac{6\times2}{9\times2}-\dfrac{5}{18}\\ =\dfrac{12}{18}-\dfrac{5}{18}\\ =\dfrac{7}{18}\)

b)

\(2-\dfrac{3}{5}+\dfrac{8}{15}\\ =\dfrac{2\times15}{15}-\dfrac{3\times3}{5\times3}+\dfrac{8}{15}\\ =\dfrac{30-9+8}{15}\\ =\dfrac{29}{15}\)

c)

\(\dfrac{9}{8}-\left(\dfrac{11}{8}-\dfrac{19}{32}\right)\\ =\dfrac{9}{8}-\left(\dfrac{11\times4}{8\times4}-\dfrac{19}{32}\right)\\ =\dfrac{9}{8}-\left(\dfrac{44}{32}-\dfrac{19}{32}\right)\\ =\dfrac{9}{8}-\dfrac{25}{32}\\ =\dfrac{9\times4}{8\times4}-\dfrac{25}{32}\\ =\dfrac{36-25}{32}\\ =\dfrac{11}{32}\)

a) \(\dfrac{4}{9}+\dfrac{2}{9}-\dfrac{5}{18}=\dfrac{8}{18}+\dfrac{4}{18}-\dfrac{5}{18}=\dfrac{8+4-5}{18}=\dfrac{7}{18}\)

b) \(2-\dfrac{3}{5}+\dfrac{8}{15}=\dfrac{30}{15}-\dfrac{9}{15}+\dfrac{8}{15}=\dfrac{30-9+8}{15}=\dfrac{29}{15}\)

c) \(\dfrac{9}{8}-\left(\dfrac{11}{8}-\dfrac{19}{32}\right)=9-\left(\dfrac{44}{32}-\dfrac{19}{32}\right)=9-\dfrac{25}{32}=\dfrac{288}{32}-\dfrac{25}{32}=\dfrac{288-25}{32}=\dfrac{263}{32}\)

a) \(175+42-75\)

\(=\left(175-75\right)+42\)

\(=100+42\)

\(=142\)

b) \(12\times\left(12-9\right)\)

\(=12\times3\)

\(=36\)

a) \(\dfrac{25}{60}+6\times\dfrac{1}{8}=\dfrac{25}{60}+\dfrac{3}{4}=\dfrac{25}{69}+\dfrac{45}{60}=\dfrac{25+45}{60}=\dfrac{70}{60}=\dfrac{7}{6}\)

b) \(\dfrac{15}{9}\times\left(6:\dfrac{30}{9}\right)=\dfrac{15}{9}\times\left(6\times\dfrac{30}{9}\right)=\dfrac{15}{9}\times20=\dfrac{100}{3}\)

Bài 2:

a.

\(3x(x-4y)-\frac{12}{5}y(y-5x)=3x^2-12xy-\frac{12}{5}y^2+12xy\)

\(=3x^2-\frac{12}{5}y^2=3.4^2-\frac{12}{5}.(-5)^2=-12\)

b.

\(u=\frac{-1}{3}; v=\frac{-2}{3}\Rightarrow u+v+1=0\)

\(2u(1+u-v)-v(1-2u+v)=2u(1+u+v-2v)+v(1+u+v-3u)\)

\(=2u.(-2v)+v(-3u)=-4uv-3uv=-7uv=-7.\frac{-1}{3}.\frac{-2}{3}=\frac{-14}{9}\)

Bài 1:

\(A=x^6-(x^6-x^5)-(x^5+x^4)+(x^4-x^3)+(x^3+x^2)-(x^2+x)+1\)

\(=-x+1=-(x-1)=-(999-1)=-998\)

a) Với m = 5, giá trị của biểu thức là:

125 : m = 125 : 5 = 25

b) Với b = 27, giá trị của biểu thức là:

(b + 4) × 3 = (27 + 4) × 3 = 31 × 3 = 93

a) 36 459 : 9 × 3 = 4051 × 3 = 12 153

b) 14 105 x 6 : 5 = 84 630 : 5 = 16 926