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8) ((456.11 + 912).37) : 13 . 74
= [(456.11 + 456 . 2).37] : 13 . 74
= [456.(11 + 2).37] : 13 . 74
= 456 . 13 . 37 : 13 . 74
= 456 . 37 : 74
= 456 : ( 74 : 37 )
= 456 : 2
= 228
9) Ta có:
864 . 48 - 432 . 96
= 432 . 2 . 48 - 432 . 96
= 432 . 96 - 432 . 96
= 432 . ( 96 - 96 )
= 432 . 0
= 0
\(\Rightarrow\left(864.48-432.96\right):864.48.432\)
\(=0:864.48.432\)
\(=0\)
\(8,\left[\left(456.11+912\right).37\right]:13.74\)
\(=\left[\left(5016+912\right).37\right]:13.74\)
\(=\left(5928.37\right):13.74\)
\(=219336:13.74\)
\(=16872.74\)
\(=1248528\)
\(9,\left(864.48-432.96\right):864.48.432\)
\(=\left(41472-41472\right):864.48.432\)
\(=0:864.48.432\)
\(=0\)
bang 6500 cai nay hom qua tao vua lam trong quyen bt toan cua tao xong
c; 37.(24 - 77) - 24.(37 - 77)
= 37.24 - 37.77 - 24.37 + 24.77
= (37.24 - 24.37) - (37.77 - 24.77)
= 0 - 77.(37 - 24)
= - 77 . 13
= - 1001
\(A=\frac{34}{7.13}+\frac{51}{13.22}+\frac{85}{22.37}+\frac{68}{37.49}\)
\(=\frac{17.2}{7.13}+\frac{17.3}{13.22}+\frac{17.5}{22.37}+\frac{17.4}{37.49}\)
\(=17\left(\frac{2}{7.13}+\frac{3}{13.22}+\frac{5}{22.37}+\frac{4}{37.49}\right)\)
\(=\frac{17}{3}\left(\frac{6}{7.13}+\frac{9}{13.22}+\frac{15}{22.37}+\frac{12}{37.49}\right)\)
\(=\frac{17}{3}\left(\frac{1}{7}-\frac{1}{13}+\frac{1}{13}-\frac{1}{22}+...+\frac{1}{37}-\frac{1}{49}\right)\)
\(=\frac{17}{3}\left(\frac{1}{7}-\frac{1}{49}\right)\)\(=\frac{17}{3}.\frac{6}{49}=\frac{17.2}{49}=\frac{34}{49}\)
Có : \(\frac{17}{24}=\frac{34}{48}\)
Vì 48 < 49 => \(\frac{34}{48}>\frac{34}{49}\). Hay \(\frac{17}{24}>A\)
\(\frac{15}{37}\)x \(\left(\frac{38}{41}-\frac{74}{45}\right)-\frac{38}{41}\)x \(\left(\frac{15}{37}+\frac{82}{76}\right)\)
\(=\frac{15}{37}\)x \(\frac{38}{41}-\frac{15}{37}\)x \(\frac{74}{45}-\frac{38}{41}\)x \(\frac{15}{37}-\frac{38}{41}\)x \(\frac{82}{76}\)
\(=\frac{15}{37}\)x \(\frac{38}{41}-\frac{2}{3}-\frac{38}{41}\)x \(\frac{15}{37}-1\)
\(=\frac{15}{37}\)x \(\frac{38}{41}\)\(-\frac{38}{41}\)x \(\frac{15}{37}\)\(-\frac{2}{3}-1\)
\(=0-\frac{2}{3}-1=\frac{-5}{3}\)
\(\frac{-34}{37}+\frac{74}{-85}\)
\(\frac{-34}{37}=\frac{-34.85}{37.85}=\frac{-2890}{3145}\) \(\)
\(\frac{74}{-85}=\frac{74.37}{-85.37}=\frac{-2738}{3145}\)
\(\frac{-2890}{3145}+\frac{-2738}{3145}=\frac{-5628}{3145}\)
-34/37 + 74/-85
= -34/37 - 74/85
= (-3485 - 7437) / (37*85)
= (-2890 - 2738) / 3145
= -5628 / 3145