516:514+24×2-2016
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tính hợp lý nếu có thể
a) 2.25.9.4
b)35.112-12.35+50
c)16+(516 : 514 - 90)
d) 24.7 - [181 - ( 13 - 4)2 ]
a: \(2\cdot25\cdot9\cdot4=25\cdot4\cdot9\cdot2=18\cdot100=1800\)
b: \(35\cdot112-12\cdot35+50\)
\(=35\left(112-12\right)+50\)
=3500+50
=3550
c: \(16+\left(5^{16}:5^{14}-9^0\right)\)
\(=16+5^2-1\)
=25+15
=40
d: \(24\cdot7-\left[181-\left(13-4\right)^2\right]\)
\(=168-181+9^2\)
=81-13
=68
a)2.25.9.4
=(25.4).(9.2)
=100.18
1800
b)35.112-12.35+50
=35.(112-12)+50
=35.100+50
=3500+50
=3550
c)\(16+\left(5^{16}:5^{14}-9^0\right)\)
\(=16+\left(5^2-9^0\right)\)
\(=16+\left(25-1\right)\)
\(=16+24\)
\(=40\)
d)\(24.7-[181-\left(13-4\right)^2]\)
\(=24.7-[181-9^2]\)
\(=24.7-[181-81]\)
\(=24.7-100\)
\(=168-100\)
\(=68\)
\(\frac{339}{322}\)và \(\frac{338}{321}\)
Ta có : \(\frac{339}{322}-1=\frac{17}{322};\frac{338}{321}-1=\frac{17}{321}\).
Vì \(\frac{17}{322}< \frac{17}{321}\)nên \(\frac{339}{322}< \frac{338}{321}\).
\(\frac{2017}{2014}\)và \(\frac{2018}{2015}\)
Ta có : \(\frac{2017}{2014}-1=\frac{3}{2014};\frac{2018}{2015}-1=\frac{3}{2015}\)
Vì \(\frac{3}{2014}>\frac{3}{2015}\)nên \(\frac{2017}{2014}>\frac{2018}{2015}\).
\(\frac{511}{514}\)và \(\frac{513}{516}\)
Ta có : \(1-\frac{511}{514}=\frac{3}{514};1-\frac{513}{516}=\frac{3}{516}\)
Vì \(\frac{3}{514}>\frac{3}{516}\)nên \(\frac{511}{514}< \frac{513}{516}\).
\(\frac{3005}{3000}\)và \(\frac{3010}{3005}\)
Ta có : \(\frac{3005}{3000}-1=\frac{5}{3000};\frac{3010}{3005}-1=\frac{5}{3005}\)
Vì \(\frac{5}{3000}>\frac{3}{3005}\)nên \(\frac{3005}{3000}>\frac{3010}{3005}\).
~ Chúc bn hok tốt ~
a) 7 479 + 3 204 × 5 = 7 479 + 16 020 = 23 499
b) 24 516 – 64 548 : 3 = 24 516 – 21 516 = 3000
c) 14 738 + 460 + 3 240 = 15 198 + 3240 = 18 438
d) 9015 × 3 × 2 = 27 045 × 2 = 54 090
\(\frac{2016^{26}+2016^{24}+...+2016^4+2016^2}{2016^{24}+2016^{22}+...+2016^2+1}\) \(=\frac{2016^2.\left(2016^{24}+2016^{22}+...+2016^2+1\right)}{2016^{24}+2016^{22}+...+2016^2+1}\)
\(=\frac{2016^2}{1}=2016^2\)
\(\left(\frac{1}{9}\right)^{2016}.9^{2016}-96^2:24^2=\frac{1^{2016}}{9^{2016}}.9^{2016}-\left(\frac{96}{24}\right)^2\)\(=1-4^2=1-16=-15\)
a )\(\sqrt{6+\sqrt{8}+\sqrt{12}+\sqrt{24}}\)
=\(\sqrt{2+3+1+2\sqrt{2.1+2\sqrt{3}.1+2\sqrt{2}.\sqrt{3}}}\)
=\(\sqrt{\left(\sqrt{2}+\sqrt{3}+1\right)^2}\)
=\(\sqrt{2}+\sqrt{3}+1\)
a,\(\sqrt{6+\sqrt{8}+\sqrt{12}+\sqrt{24}}\\ =\sqrt{2+3+1+2\sqrt{2}.1+2\sqrt{3}.1+2\sqrt{2}.\sqrt{3}}\)
\(=\sqrt{\left(\sqrt{2}+\sqrt{3}+1\right)^2}=\sqrt{2}+\sqrt{3}+1\)
516:514+24×2-2016
=516-14 + 24+1 - 2016
=52 + 25 - 2016
= 25 + 32 - 2015
= -1959