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a) 47 x 9 = 47 x (10 -1)
= 47 x 10 - 47 x 1 = 470 -47 = 423
24 x 99 = 24 x ( 100 -1)
= 24 x 100 - 24 x 1 = 2400 - 24 = 2376
b) 138 x 9 = 138 x (10 -1)
= 138 x 10 - 138 x 1 = 1380 - 138 = 1242
123 x 99 = 123 x (100 -1)
= 123 x 100 - 123 x 1 = 12300 - 123 = 12177
b. \(\dfrac{4.2.3.5.2.6.2.5.3}{4.3.4.5.6.4.5.6}=\dfrac{1}{4}\)
c. \(\dfrac{17.2.101.2005}{17.2.101.2.2005}=\dfrac{1}{2}\)
d. \(\dfrac{2.3.4.2.11.13.17}{3.11.4.4.17.13.2}=\dfrac{1}{2}\)
a)\(\dfrac{4\times6\times10\times12\times15}{4\times12\times5\times24\times30}=\dfrac{2}{2\times2\times2}=\dfrac{2}{8}=\dfrac{1}{4}\)
b)\(\dfrac{34\times101\times2005}{17\times202\times4010}=\dfrac{2}{2\times2}=\dfrac{2}{4}=\dfrac{1}{2}\)
c)\(\dfrac{6\times8\times11\times13\times17}{33\times16\times17\times26}=\dfrac{6}{3\times2\times2}=\dfrac{1}{2}\)
( 12 x 13 + 14 x 15 + ... + 24 x 25 + 26 x 27 ) x ( 14 + 6 - 10 + 5 - 3 x 5 )
= ( 12 x 13 + 14 x 15 + ... + 24 x 25 + 26 x 27 ) x 0
= 0
a: \(=\dfrac{6}{24}\cdot\dfrac{8}{9}\cdot\dfrac{5}{10}=\dfrac{1}{8}\cdot\dfrac{8}{9}=\dfrac{1}{9}\)
b: \(=\dfrac{12}{18}\cdot\dfrac{14}{21}\cdot13=\dfrac{2}{3}\cdot\dfrac{2}{3}\cdot13=\dfrac{52}{9}\)
c: \(=\dfrac{2323}{4646}\cdot\dfrac{123123}{234234}=\dfrac{1}{2}\cdot\dfrac{123}{234}=\dfrac{41}{156}\)
) 24 : x + 26 : x = 5 b) 93 : x - 12 : x = 9
(24 + 26) : x = 5 (93 - 12) : x = 9
50 : x = 5 81 : x = 9
x = 50 : 5 x = 81 : 9
x = 10 x = 9
24:x+26:x=5=(24+26):5
=50:5
=10