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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
a) \(\frac{399\times45+55\times399}{1995\times1996-1991\times1995}=\frac{399\times\left(45+55\right)}{1995\times\left(1996-1991\right)}=\frac{399\times100}{399\times5\times5}=4\)
b) \(\frac{1996\times1995-996}{1000+1996\times1994}=\frac{1996\times\left(1994+1\right)-996}{1000+1996\times1994}=\frac{1996\times1994+1996-996}{1000+1996\times1994}\)
\(=\frac{1996\times1994+1000}{1000+1996\times1994}=1\)
c) \(\frac{637\times527-189}{526\times637+448}\)bạn làm tương tự ý b).
d) \(\frac{677\times874+251}{678\times874-623}\)bạn làm tương tự ý b).
=\(\frac{399x\left(45+55\right)}{1995x\left(1996-1991\right)}\)
=\(\frac{399x100}{1995x5}\)
=\(\frac{399x4x5x5}{399x5x5}\)
=\(\frac{4}{1}\)
=\(4\)
= \(\frac{17955+21945}{3982020-3972045}\)
= \(\frac{39900}{9975}\)
= \(\frac{7980}{1995}\)
= \(\frac{1596}{399}\)
= \(\frac{532}{133}\)
Aswer : \(\frac{532}{133}\)
ta tim xem hai ve deu co so nhan rieng la bao nieu roi ta tinh gia tri cua ve do roi tinh nhu thuong
\(\frac{1996\cdot1995-996}{1000+1996\cdot1994}\)
\(=\frac{1996\cdot\left(1994+1\right)-996}{1000+1996\cdot1994}\)
\(=\frac{1996\cdot1994+1996-996}{1000+1996\cdot1994}\)
\(=\frac{1996\cdot1994+1000}{1000+1996\cdot1994}=1\)
Dạng toán: Tính nhanh ( vận dụng tính chất kết hợp phân phối giữa phép nhân và phép cộng)
Chúc em học tốt!
\(\frac{1996.1995-996}{1000+1996.1994}=\frac{1996.\left(1994+1\right)-996}{1000+1996.1994}=\frac{1996.1994+1996-996}{1000+1996.1994}\)
\(=\frac{1996.1994+1000}{1000+1996.1994}=1\)
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\(\frac{1996\times1995-996}{1000+1996\times1994}\)
\(=\frac{1996\times\left(1994+1\right)-996}{1996\times1994+1000}\)
\(=\frac{1996\times1994+1996\times1-996}{1996\times1994+1000}\)
\(=\frac{1996\times1994+1996-996}{1996\times1994+1000}\)
\(=\frac{1996\times1994+1000}{1996\times1994+1000}=1\)
\(\frac{1,65\times25+117\times1,65+1,65\times108}{150\times0,25+1,4\times150}\)
\(=\frac{\left(25+117+108\right)\times1,65}{150\times\left(0,25+1,4\right)}\)
\(=\frac{250\times1,65}{150\times1,65}\)
\(=\frac{\left(150+100\right)\times1,65}{150\times1,65}\)
\(=\frac{150\times1,65+100\times1,65}{150\times1,65}\)
\(=\frac{150\times1,65+165}{150\times1,65}=\frac{165}{1}=165\)