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\(\frac{1996\cdot1995-996}{1000+1996\cdot1994}\)
\(=\frac{1996\cdot\left(1994+1\right)-996}{1000+1996\cdot1994}\)
\(=\frac{1996\cdot1994+1996-996}{1000+1996\cdot1994}\)
\(=\frac{1996\cdot1994+1000}{1000+1996\cdot1994}=1\)
Dạng toán: Tính nhanh ( vận dụng tính chất kết hợp phân phối giữa phép nhân và phép cộng)
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\(\frac{1996.1995-996}{1000+1996.1994}=\frac{1996.\left(1994+1\right)-996}{1000+1996.1994}=\frac{1996.1994+1996-996}{1000+1996.1994}\)
\(=\frac{1996.1994+1000}{1000+1996.1994}=1\)
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Ta có: \(1996\cdot1995-996-100-1996\cdot1994\)
\(=1996\left(1995-1994\right)-1996\)
\(=1996-1996=0\)
Ta có: \(1996\cdot1995-996-100-1996\cdot1994\)
\(=1996\left(1995-1994\right)-1996\)
\(=1996-1996=0\)
399 X 45 + 55 X 399 1995 X 1996 - 1991X 1995
= 399 X ( 45 + 55 ) = 1995 X ( 1996 - 1991 )
= 399 X 100 = 1995 X 5
= 39900 = 9975
1996 X 1995 - 399 1000 + 1996 X 1994
= 3982020 - 399 = 1000 + 3980024
= 3981621 = 3981024
\(\frac{1996\times1995-996}{1000+1996\times1994}\)
\(=\frac{1996\times\left(1994+1\right)-996}{1996\times1994+1000}\)
\(=\frac{1996\times1994+1996\times1-996}{1996\times1994+1000}\)
\(=\frac{1996\times1994+1996-996}{1996\times1994+1000}\)
\(=\frac{1996\times1994+1000}{1996\times1994+1000}=1\)
\(\frac{1,65\times25+117\times1,65+1,65\times108}{150\times0,25+1,4\times150}\)
\(=\frac{\left(25+117+108\right)\times1,65}{150\times\left(0,25+1,4\right)}\)
\(=\frac{250\times1,65}{150\times1,65}\)
\(=\frac{\left(150+100\right)\times1,65}{150\times1,65}\)
\(=\frac{150\times1,65+100\times1,65}{150\times1,65}\)
\(=\frac{150\times1,65+165}{150\times1,65}=\frac{165}{1}=165\)