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a) \(\frac{28.36}{27.14}=\frac{7.4.9.2.2}{3.9.7.2}=\frac{4.2}{3}=2\)
b) \(\frac{132.45.8}{25.16.99}=\frac{2.2.3.11..3.3.5.2.2.2}{5.5.2.2.2.2.3.3.11}=\frac{2.3}{5}=\frac{6}{5}\)
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A = 4/1 x 5 + 4/5 x 9 + 4/9 x 13 + .... + 4/91 x 95 + 4/95 x 99
A = 1 - 1/5 + 1/5 -1/9 + 1/9 - 1/13 + .... + 1/91 - 1/95 + 1/95 - 1/99
A = 1 - 1/99
A = 98/99
B = 1/6 + 1/12 + 1/20 + ... + 1/132
B = 1/2 x 3 + 1/3 x 4 + 1/4 x 5 + ... + 1/11 x 12
B = 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/11 - 1/12
B = 1/2 - 1/12
B = 5/12
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a) A = 2 + 4 + 6 + 8 + ... + 1000
Ta có : A = 2 + 4 + 6 + 8 + ... + 1000 ( có 500 số )
= (1000 + 2) . 500 : 2 = 250500
c) \(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{97.99}+\frac{2}{99.101}\)
\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{99}+\frac{1}{99}-\frac{1}{101}\)
\(=1-\frac{1}{101}=\frac{100}{101}\)
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132 : ( 0,125 + 0,25 - 0,2 + 0,5 + 1)
= 132 : 1,675
= 78,80
132: 0,125 + 132: 0,25 - 132: 0,2 + 132: 0,5 + 132
= 132 \(\times\) 8 + 132 \(\times\) 4 - 132 \(\times\) 5 + 132 \(\times\) 2 + 132 \(\times\) 1
= 132 \(\times\) ( 8 + 4 - 5 + 2 + 1)
= 132 \(\times\) ( 12 - 5 + 3)
= 132 \(\times\) ( 7 + 3)
= 132 \(\times\) 10
= 1320
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2013 x 867 + 132 x 2013 + 2083
= 2013 x 867 + 132 x 867 + 2013 + 70
= 2013 x ( 867 + 132 + 1 ) + 70
= 2013 x 1000 + 70
= 2013070
2013 x 867 + 132 x 2013 + 2013 + 70
= 2013 ( 867 + 132 + 1 ) + 70
= 2013 x 1000 + 70
= 2013070
hok tốt
132x99+132
= 132x( 99+1)
=132x 100
=13200
k cho mik nha các bạn
132 x 99 + 132 = 132 x (99 + 1)
= 132 x 100
= 13200