1.Tính:
a)1.135.2.18+54-3.5
b)2.100.754.7878-4567
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a) Ta có: \(4567+1234-4567-\left(-66\right)\)
\(=4567-4567+1234+66\)
\(=1234+66=1300\)
b) Ta có: \(2004-15+54-2004-54\)
\(=\left(2004-2004\right)+\left(54-54\right)-15\)
\(=0+0-15\)
\(=-15\)
c) Ta có: \(-45789-357-45789+57\)
\(=-91578-300=-91878\)
bài 1
a)-7105-(155-7105)+355
=-7105 -155 +7105 +355
=(-7105 + 7105)+(-155 + 355)
=0 + 200
=200
b)(35−815)−(795−65)b)(35-815)-(795-65)
=−780−730=-780-730
=−1510
a: \(=4\cdot2\sqrt{6}-3\cdot3\sqrt{6}+5\sqrt{6}-5\sqrt{6}\)
\(=8\sqrt{6}-9\sqrt{6}=-\sqrt{6}\)
b: \(=2\left(3-2\sqrt{2}\right)-2\left(3+2\sqrt{2}\right)\)
\(=6-4\sqrt{2}-6-4\sqrt{2}=-8\sqrt{2}\)
c: \(=\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)
\(=\dfrac{\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}}{\sqrt{2}}\)
\(=\dfrac{\sqrt{5}-1-\sqrt{5}-1}{\sqrt{2}}=-\dfrac{2}{\sqrt{2}}=-\sqrt{2}\)
b: \(=32+\dfrac{5}{16}-3\cdot32\)
=-64+5/16
=-1019/16
a: \(\dfrac{16}{15}\cdot\dfrac{-5}{14}\cdot\dfrac{54}{24}\cdot\dfrac{56}{21}\)
\(=\dfrac{16}{24}\cdot\dfrac{-5}{15}\cdot\dfrac{54}{21}\cdot\dfrac{56}{14}\)
\(=\dfrac{2}{3}\cdot\dfrac{-1}{3}\cdot\dfrac{18}{7}\cdot4\)
\(=\dfrac{-2\cdot2\cdot4}{7}=-\dfrac{16}{7}\)
b: \(\dfrac{7}{3}\cdot\dfrac{-5}{2}\cdot\dfrac{15}{21}\cdot\dfrac{4}{-5}\)
\(=\dfrac{7}{3}\cdot\dfrac{5}{7}\cdot\dfrac{5}{2}\cdot\dfrac{4}{5}\)
\(=\dfrac{5}{3}\cdot\dfrac{4}{2}=\dfrac{5}{3}\cdot2=\dfrac{10}{3}\)
c: \(\left(-\dfrac{2}{5}+\dfrac{1}{3}\right)\left(\dfrac{3}{2}-\dfrac{3}{7}\right)\)
\(=\dfrac{-2\cdot5+3}{15}\cdot\dfrac{3\cdot7-3\cdot2}{14}\)
\(=\dfrac{-7}{15}\cdot\dfrac{15}{14}=\dfrac{-7}{14}=-\dfrac{1}{2}\)
d: \(\left(\dfrac{1}{2}-\dfrac{1}{3}\right)\left(5-\dfrac{1}{4}\right)\)
\(=\dfrac{3-2}{6}\cdot\dfrac{20-1}{4}\)
\(=\dfrac{1}{6}\cdot\dfrac{19}{4}=\dfrac{19}{24}\)
e: \(\left(\dfrac{4}{5}\right)^2=\dfrac{4^2}{5^2}=\dfrac{16}{25}\)
\(a.\)
\(\dfrac{17}{8}:\left(\dfrac{27}{8}+\dfrac{11}{2}\right)\)
\(=\dfrac{17}{8}:\left(\dfrac{27+44}{8}\right)=\dfrac{17}{8}:\dfrac{71}{8}=\dfrac{17}{8}\cdot\dfrac{8}{71}=\dfrac{17}{71}\)
\(b.\)
\(\dfrac{28}{15}\cdot\dfrac{1}{4^2}\cdot3+\left(\dfrac{8}{15}-\dfrac{69}{60}\cdot\dfrac{5}{23}\right):\dfrac{51}{54}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{4^2}\cdot3+\left(\dfrac{8}{15}-\dfrac{1}{4}\right):\dfrac{51}{54}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{4^2}\cdot3+\left(\dfrac{8\cdot4-15}{60}\right):\dfrac{51}{54}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{4^2}\cdot3+\dfrac{17}{60}:\dfrac{51}{54}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{16}\cdot3+\dfrac{17}{60}\cdot\dfrac{54}{51}\)
\(=\dfrac{7}{20}+\dfrac{3}{10}\)
\(=\dfrac{7+3\cdot2}{20}=\dfrac{13}{20}\)
a) 23 phút 25 giây-15 phút 12 giây=8 phút 13 giây
b) 54 phút 21 giây-21 phút 34 giây=32 phút 47 giây
c) 22 giờ 15 phút-12 giờ 35 phút=9 giờ 40 phút
a) 23 phút 25 giây − 15 phút 12 giây= 8 phút 13 giây
b) 54 phút 21 giây − 21 phút 34 giây= 32 phút 47 giây
c) 22 giờ 15 phút − 12 giờ 35 phút= 9 phút 40 giây
a = 4899
b=1187997833
1 x 135 x 2 x 18 + 54 - 3 x 5
= 135 x 2 x 18 + 54 - 3 x 5
= 270 x 18 + 54 - 3 x 5
= 4860 + 54 - 15
= 4915 - 15
= 4900
b) 2 x 100 x 754 x 7878 - 4567
= 200 x 754 x 7878 - 4567
= 150800 x 7878 - 4567
= 1188002400 - 4567
= 1187997833