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\(202x\frac{3}{4}+202x\frac{5}{4}+202x8\)
\(=202x\left(\frac{3}{4}+\frac{5}{4}+8\right)\)
\(=202x\left(\frac{8}{4}+8\right)\)
\(=202x\left(2+8\right)\)
\(=202x10\)
\(=2020\)
\(=202*(\frac{3}{4}+ \frac{5}{4}+8) = 202*9 = 1818\)
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\(\frac{2}{7}\)x \(\left(\frac{707}{202}+\frac{707}{3030}+\frac{707}{4242}+\frac{707}{5656}+\frac{707}{7272}\right)\)
\(=\frac{2}{7}\)x \(\left(\frac{7}{2}+\frac{7}{30}+\frac{1}{6}+\frac{1}{8}+\frac{7}{72}\right)\)
\(=\frac{2}{7}\)x \(\left(\frac{1260}{360}+\frac{84}{360}+\frac{60}{360}+\frac{45}{360}+\frac{35}{360}\right)\)
\(=\frac{2}{7}\)x \(\frac{371}{90}=\frac{53}{45}\)
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Xét B = \(\frac{201+202+203}{202+203+204}\)
= \(\frac{201}{202+203+204}\)\(+\)\(\frac{202}{202+203+204}\)\(+\)\(\frac{203}{202+203+204}\)
Vì 202 < 202 + 203 + 204
=> \(\frac{201}{202}\)> \(\frac{201}{202+203+204}\)( 1 )
Vì 203 < 202 + 203 + 204
=> \(\frac{202}{203}\)>\(\frac{202}{202+203+204}\)( 2 )
Vì 204 < 202 + 203 + 204
=> \(\frac{203}{204}\)> \(\frac{203}{202+203+204}\)( 3 )
Cộng vế với vế của ( 1 ), ( 2 ) và ( 3 )
=> \(\frac{201}{202}+\frac{202}{203}+\frac{203}{204}\)> \(\frac{201+202+203}{202+203+204}\)
=> A > B
Vậy A > B
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Ta có:
202^303 = 202^3x101 = (202^3)^101
3^202 = 3^101x2 = (3^2)^101
Vì (202^3)>(3^2)
=>(202^3)^101>(3^2)^101
=> 202^303 > 3^202
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(50 x 2) x (125 x 8) x 202
= 100 x 1000 x 202
= 20 200 000
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c) 111x345+111x543+11x112
= 111x(345+112+543+11)
= 111 x 1011
= 11121
b)(2022-1550)x202
= 472x202
= 95344
c.111x345+111x534+11x112
=111x345+111x534+11x(111+1)
=111x345+111x534+11x111+11x1
=111x345+111x534+11x111+11
=111x(345+534+11)+11
=111x890+11
=98790+11
=98801
b.(2022-1550)x202
=472x202
=95344
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Xét B = \(\frac{201+202+203}{202+203+204}\)
= \(\frac{201}{202+203+204}\)+ \(\frac{202}{202+203+204}\)+ \(\frac{203}{202+203+204}\)
Vì 202 < 202 + 203 + 204 nên \(\frac{201}{202}\)>\(\frac{201}{202+203+204}\)(1)
Vì 203 < 202 + 203 + 204 nên \(\frac{202}{203}\)> \(\frac{202}{202+203+204}\)(2)
Vì 204 < 202 + 203 + 204 nên \(\frac{202}{203}\)>\(\frac{202}{202+203+204}\)(3)
Cộng vế vơi vế của (1) , (2) và (3)
=>\(\frac{201}{202}+\frac{202}{203}+\frac{203}{204}\)> \(\frac{201+202+203}{202+203+204}\)
=> A > B
Vậy A > B
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
523×305=159515
308×563=173404
1309×202=264418
Xin
HT
Đáp án:
A) 523 x 305 = 159515
B) 308 x 563 = 173404
C) 1309 x 202 = 263418
mình nói thật, không gian dối! tính trên nháp! cần bằng chứng ko tôi show cho!
#hoctot
`202 xx 7+202 xx 3+2`
`=202 xx(7+3)+2
`=202xx10+2`
`=2020+2`
`=2022`
(202 x 7 + 202 x 3) + 2
= ( 202 x 10 ) + 2
= 2020 + 2
= 2022