Áp dụng các tính chất của phép nhân phân số để tính nhanh :
C= 4/7.3/5.7/4.(-20).-11/12
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a ) 17 x 4 = ( 15 + 2 ) x 4 = 15 x 4 + 2 x 4 = 60 + 8 = 68
25 x 28 = 25 x ( 20 + 8 ) = 25 x 20 + 25 x 8 = 500 + 200 = 700
b ) 13 x 12 = 13 x ( 10 + 2 ) = 13 x 10 + 13 x 2 = 130 + 26 = 156
53 x 11 = 53 x ( 10 + 1 ) = 53 x 10 + 53 x 1 = 530 + 53 = 583
39 x 101 = 39 x ( 100 + 1 ) = 39 x 100 + 39 x 1 = 3900 + 39 = 3939
a) Ta có:
\(17\times4=\left(15+2\right)\times4=15\times4+2\times4=60+8=68\)
\(25\times28=25\times\left(20+8\right)=25\times20+25\times8=500+200=700\)
b) Ta có:
\(13\times12=13\times\left(10+2\right)=13\times10+13\times2=130+26=156\)
\(53\times11=53\times\left(10+1\right)=53\times10+53\times1=530+53=583\)
\(39\times101=39\times\left(100+1\right)=39\times100+39\times1=3900+39=3939\)
17.4 = 17.(2.2) = (17.2).2 = 34.2 = 68
25.28 = 25.(4.7) = (25.4).7 = 100.7 = 700
13.12 = 13.(10+2) = 13.10 + 13.2
= 130 + 26 = 156
53.11= 53.(10+1) = 53.10 + 53.1
= 530 + 53 = 583
39.101 = 39.(100+1) = 39.100 + 39.1
= 3900 + 39 = 3939
c) 5 . 25 . 2 . 16 . 4 = (5 . 2)(25.4) . 16 = 10 . 100. 16 = 16000
a) \(\frac{17}{23}.\frac{18}{16}.\frac{23}{17}-\left(-80\right)-\frac{3}{4}\)
= \(\frac{17.18.23}{23.16.17}+80-\frac{3}{4}\)
= \(\frac{9}{8}+80-\frac{3}{4}\)
= \(\frac{3}{8}+80=\frac{643}{8}\)
b) \(\frac{5}{11}.\frac{18}{29}-\frac{5}{11}.\frac{8}{29}+\frac{5}{11}.\frac{19}{29}\)
= \(\frac{5}{11}.\left(\frac{18}{29}-\frac{8}{29}+\frac{19}{29}\right)\)
= \(\frac{5}{11}.1=\frac{5}{11}\)
c) \(\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right).\left(\frac{1}{3}+\frac{1}{4}-\frac{7}{12}\right)\)
= \(\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right).0\)
= \(0\)
17x4=17x2x2=(17x2)x2=34x2=68
25.28=25.4.7=(25.4.7)=100.7=100
13.12=13.(10+2)=13.10+13.2=130+26=156
53.11=53.(10+1)=53.10+53.1=530+53=583
39.101=39.(100+1)=39.100+93.1=3900+39=3939
35 x 4 = 140
25 x 36 = 900
28 x 25 = 625
36 x 12 = 432
75 x 11 = 825
67 x 101 = 6767
a, 17 . 4 = 17 . 2 . 2 = 34 . 2 = 68
25 . 28 = 25 . 4 . 7 = 100 . 7 = 700
b, 13 . 12 = 13 . ( 10 + 2 ) = 13 . 10 + 13 . 2 = 130 + 26 = 156
53 . 11 = 53 . ( 10 + 1 ) = 53 . 10 + 53 . 1 = 530 + 53 = 583
39 . 101 = 39 . ( 100 + 1 ) = 39 . 100 + 39 . 1 = 3900 + 39 = 3939