\(a)\dfrac{599}{1000}+\dfrac{377}{1000}+\dfrac{1}{1000}\\ =\left(\dfrac{599}{1000}+\dfrac{1}{1000}\right)+\dfrac{377}{1000}\\ =\dfrac{600}{1000}+\dfrac{377}{1000}\\ =\dfrac{977}{1000}\\ b)\dfrac{15}{4}+\dfrac{15}{16}+\dfrac{5}{16}\\ =\dfrac{15}{4}+\left(\dfrac{15}{16}+\dfrac{5}{16}\right)\\ =\dfrac{15}{4}+\dfrac{20}{16}\\ =\dfrac{60}{16}+\dfrac{20}{16}\\ =\dfrac{80}{16}=5\)

a)     12 + 13 + 14 + 15 + 16 + 17+ 18

= (12 + 18) + ( 13 + 17) + (14 + 16) + 15

= 30 + 30 + 30 + 15

=  105

tính bằng cách thuận tiện nhất 6184+309+1516=

Số số hạng là 19-11+1=9(số)

Tổng là: 10x9=90

=(11+19)+(12+18)+(13+17)+(14+16)+15

=30+30+30+30+15

=135

\(a,\dfrac{2}{13}\times\dfrac{22}{5}\times\dfrac{13}{2}\\ =\left(\dfrac{2}{13}\times\dfrac{13}{2}\right)\times\dfrac{22}{5}\\ =1\times\dfrac{22}{5}=\dfrac{22}{5}\\ b,\dfrac{3}{5}\times\dfrac{6}{7}+\dfrac{6}{7}\times\dfrac{3}{5}\\ =\dfrac{3}{5}\times\left(\dfrac{6}{7}+\dfrac{6}{7}\right)\\ =\dfrac{3}{5}\times\dfrac{12}{7}=\dfrac{36}{35}\)

\(a,=\left(\dfrac{2}{13}\times\dfrac{13}{2}\right)\times\dfrac{22}{5}=\dfrac{22}{5}\\ b,=\dfrac{3}{5}\times\left(\dfrac{6}{7}+\dfrac{6}{7}\right)\\ =\dfrac{3}{5}\times\dfrac{12}{7}\\ =\dfrac{36}{35}\)

a) 5 × 99 × 2 = 5 × 2 × 99

= 10 × 99

= 990

b) 208 × 97 + 208 × 3 = 208 × (97 + 3 )

= 208 × 100

= 20800

(20+10)-(11+19)+(12+18)-(13+17)+(14+16)-15

=30-30+30-30-15+30

=15

10-11+12-13+14-15+16-17+18-19+20
= (10+20)+(-11-19)+(12+18)+(-13-17)+(14+16)-15
= 30-30+30-30+30-15
= 15

\(=240+390+560+750=1940\)

b) 12 x 20 + 13 x 30 + 14 x 40 + 15 x 50

=(12x20) x (13x30) + (14x40) x (15x50)

=1940

a) 6*1235*20-5*235*24 = 120(1235-235)=120.1000=120000

b) =[145*99+145*1]-[143101*1]=145*[99+1]-145*[101-1]=145*100-143*100=100*[145-143]=100*2=200

\(11-12+13-14+15-16+17-18+19-20+21+22\)

\(=\left(11+13+15+17+19+21+22\right)-\left(12+14+16+18+20\right)\)

\(=\left(A+22\right)-B\)

     số số hạng của tổng A là :

         ( 21 - 11 ) :2 + 1 = 6 ( số )

    vậy tổng A là :

     ( 21 + 11 ) * 6 :2 = 96 

  số số hạng của tổng B là :

     (20-12 ) :2 +1 = 5 ( số )

tổng B là :

     ( 20 + 12 ) * 5 :2 = 80 

   vậy \(\left(A+22\right)-B\)

   \(=\left(96+22\right)-80\)

\(=118-80\)

\(=38\)

\(11-12+13-14+15-16+17-18+19-20+21+22\)

\(=\left(11-12\right)+\left(13-14\right)+\left(15-16\right)+\left(17-18\right)+\left(19-20\right)+21+22\)

\(=-1+-1+-1+-1+-1+21+22\)

\(=-5+21+22\)

\(=38.\)