a)80[100-(7-5)2]
b)345+[67+(-345)+(-17)]
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a) \(=\frac{3}{17}-\frac{2}{345}+\frac{5}{12}+\frac{2}{345}-\frac{3}{17}+\frac{1}{12}\)
\(=\left(\frac{3}{17}-\frac{3}{17}\right)+\left(\frac{2}{345}-\frac{2}{345}\right)+\left(\frac{5}{12}+\frac{1}{12}\right)\)
\(=\frac{6}{12}=\frac{1}{2}\)
b) \(=-\frac{49}{25}-\frac{5}{36}+\frac{4}{123}+\frac{49}{25}-\frac{4}{123}-\frac{1}{36}\)
\(=\left(-\frac{49}{25}+\frac{49}{25}\right)+\left(\frac{4}{123}-\frac{4}{123}\right)-\left(\frac{5}{36}+\frac{1}{36}\right)\)
\(=-\frac{6}{36}=-\frac{1}{6}\)
\(\left(\frac{3}{17}-\frac{2}{345}+\frac{5}{12}\right)-\left(-\frac{2}{345}+\frac{3}{17}-\frac{1}{12}\right)\)
\(=\frac{3}{17}-\frac{2}{345}+\frac{5}{12}+\frac{2}{345}-\frac{3}{17}+\frac{1}{12}\)
\(=\left(\frac{3}{17}-\frac{3}{17}\right)+\left(\frac{2}{345}-\frac{2}{345}\right)+\frac{5}{12}+\frac{1}{12}\)
\(=\frac{6}{12}=\frac{1}{2}\)
( 3/17 - 2/345 + 5/12 ) - ( - 2/345 + 3/17 - 1/12 )
= 3/17 - 2/345 + 5/12 + 2/345 - 3/17 + 1/12
= ( 3/17 - 3/17 ) + ( 2/345 - 2/345 ) + ( 5/12 + 1/12 )
= 0 + 0 + 1/2
=1/2
Bài 2. Tính nhanh
a) 27 + (-2019) + (-27)
= 27 -2019 -27
=(27 - 27) -2019
=0-2019
= -2019
d) (-102) – (345 – 102)
= -102 - 345 +102
= (102 - 102) -345
= 0-345
= -345
b) (-10) + 23 + (-20) + 30
= -10 +23-20+30
= -(10+20) +23 +30
= -30 +23 +30
= (30-30) +23
= 0 +23
= 23
e) (12 + 34 – 56) – (12 – 56)
= 12 +34 -56 -12 +56
= (12-12) + (56-56) +34
= 0+0 +34
= 34
c) (-2).125.(-5).(-8).(+17)
=[(-2) . (-5)] . [ 125.(-8)] . (+17)
= 10 . (-1000).(+17)
= - 10000 . 17
= - 170000
f) 37.(-345) – 345.(-47)
= -345 . (37-47)
= -345.(-10)
=3450
Ta có:
345:5+345=414
Vì dãy số có 100 số hạng nên:
414+414+414+......+414=414x100=41400
Đáp số:............
\(B=\left(\frac{3}{17}-\frac{2}{345}+\frac{5}{12}\right)-\left(-\frac{2}{345}+\frac{3}{17}-\frac{1}{12}\right)\)
\(B=\frac{3}{17}-\frac{2}{345}+\frac{5}{12}+\frac{2}{345}-\frac{3}{17}+\frac{1}{12}\)
\(B=\left(\frac{3}{17}-\frac{3}{17}\right)+\left(-\frac{2}{345}+\frac{2}{345}\right)+\frac{5}{12}+\frac{1}{12}=\frac{1}{2}\)
\(\left(a\right)314+345\cdot10\div2=314+345\cdot5=314+1725=2039\)
\(\left(b\right)467-421\cdot100\div5=467-421\cdot20=467-8420=-7953\)
Trả lời:
a,\(314+345\times10\div2\)
\(=314+345\times5\)
\(=314+1725\)
\(=2039\)
b, \(467-421\times100\div5\)
\(=467-421\times20\)
\(=467-8420\)
\(=-7953\)
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