Question

найдите значение выражения 1)15 49-4 49*3 38 2) 8188*(6-11315*1 1921) 3)(5 116-1 18)*(56+314) 4)5 116-1 18*(56+314)

Answer 1

$15 frac{4}{9} -4 frac{4}{9} *3 frac{3}{8} = frac{15*9+4}{9}- frac{4*9+4}{9}* frac{3*8+3}{8}= frac{139}{9}- frac{40}{9}*frac{27}{8} =$$frac{139}{9}- frac{5*8*27}{9*8}= frac{139}{9}- frac{135}{9} = frac{4}{9}$

$frac{81}{88}*(6- frac{113}{15}*1 frac{19}{21})= frac{81}{88}*(6- frac{113}{15}* frac{40}{21})= frac{81}{88}*(6- frac{113*5*8}{3*5*21} )=$$frac{81}{88}*( frac{6*63}{63}- frac{113*8}{3*21})= frac{81}{88}* frac{378-904}{63}= frac{81*-526}{88*63} = -frac{9*9*2*263}{2*44*9*7}= -frac{9*263}{7*44}=$$- frac{2367}{308}=- frac{2156+}{308}=-7 frac{211}{308}$
$(5 frac{1}{16}-1 frac{1}{8})*( frac{5}{6}+ frac{3}{14})=( frac{5*16+1}{16}- frac{(8+1)*2}{8*2} )*( frac{5*7}{6*7}+ frac{3*3}{14*3})=$$frac{81-18}{16}* frac{35+9}{42}= frac{63*44}{16*42}= frac{3*3*7*4*11}{4*4*3*2*7} = frac{3*11}{4*2}=frac{33}{8}=4 frac{1}{8}$

$5 frac{1}{16}-1 frac{1}{8}*( frac{5}{6}+ frac{3}{14})= frac{5*16+1}{16}- frac{8+1}{8}*( frac{5*7}{6*7}+ frac{3*3}{14*3})=$
$frac{81}{16} - frac{9}{8} * frac{44}{42} = frac{81}{16} - frac{3*3*2*2*11}{2*2*2*2*3*7} = frac{81}{4*4}- frac{3*11}{4*7} =$$frac{81*7-33*4}{4*4*7} = frac{567-132}{4*4*7}=frac{435}{112}=3 frac{99}{112}$

Answer 2

можно ответ к примеру 2*10 3 степени и (2*10) 3 степени

Answer 3

2*10^3=2*1000=2000, (2*10)^3=2^3*10^3=8*1000=8000