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a, A= 1/5.6+1/6.7+1/7.8+...+1/24.25
=1/5-1/6+1/6-1/7+1/7-1/8+...+1/24-1/25
=1/5-1/25
=4/25
hok tốt k nha
số số hạng là :
( 1000000 - 1 ) : 1 + 1 = 1000000
tổng là :
( 1000000 + 1 ) x 1000000 : 2 = 500000500000
đáp số : 500000500000
a: \(A=\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+...+\dfrac{1}{24}-\dfrac{1}{25}\)
\(=\dfrac{1}{5}-\dfrac{1}{25}=\dfrac{4}{25}\)
b: \(B=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{8}-\dfrac{1}{19}+\dfrac{1}{19}-\dfrac{1}{32}+\dfrac{1}{32}-\dfrac{1}{57}+\dfrac{1}{57}-\dfrac{1}{87}\)
\(=\dfrac{2}{15}+\dfrac{1}{8}-\dfrac{1}{87}\)
=859/3480
\(A=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{19}+...+\dfrac{1}{57}-\dfrac{1}{87}=\dfrac{1}{3}-\dfrac{1}{87}=\dfrac{28}{87}\)
\(41-\dfrac{72}{19-108:\left[59-2\left(3^2-11\cdot2\right)^2\right]}\)
\(=41-\dfrac{72}{19-108:\left[59-2\left(18-22\right)^2\right]}\)
\(=41-\dfrac{72}{19-108:\left[59-2\cdot16\right]}\)
\(=41-\dfrac{72}{19-108:27}\)
\(=41-\dfrac{72}{19-4}=41-\dfrac{72}{15}\)
=41-4,8
=36,2
\(41-72:\left\{19-108:\left[59-2.\left(3^2-11.2\right)^2\right]\right\}\)
\(=41-72:\left\{19-108:\left[59-2.\left(9-22\right)^2\right]\right\}\)
\(=41-72:\left\{19-108:\left[59-2.\left(-13\right)^2\right]\right\}\)
\(=41-72:\left\{19-108:\left[59-2.169\right]\right\}\)
\(=41-72:\left\{19-108:\left[59-338\right]\right\}\)
\(=41-72:\left\{19-108:-279\right\}\)
\(=41-72:\left\{19-\dfrac{-12}{31}\right\}\)
\(=41-72:\dfrac{601}{31}\)
\(=41-\dfrac{2232}{601}\)
\(=\dfrac{22409}{601}\)
1a
75/100+18/21+19/32+1/4+3/21+13/32
= 3/4 +6/7+19/32+1/4+1/7+13/32
= (3/4+1/4)+(19/32+13/32)+(6/7+1/7)
= 1+1+1=3
1b
22/5+51/9+11/4+3/5+1/3+1/4
=22/5+17/3+11/4+3/5+1/3+1/4
=(22/5+3/5)+(17/3+1/3)+(11/4+1/4)
=25/5+18/3+12/4
=5+6+3
=14
a)7/19.8/11+3/11.7/19+-12/19
=7/19.(8/11+3/11)+-12/19
=7/19.1+-12/19
=7/19+-12/19
=-5/19
a)
\(\dfrac{7}{19}\cdot\dfrac{8}{11}+\dfrac{3}{11}\cdot\dfrac{7}{19}+\dfrac{-12}{19}\\ =\dfrac{7}{19}\cdot\left(\dfrac{8}{11}+\dfrac{3}{11}\right)+\dfrac{-12}{19}=\dfrac{7}{19}\cdot1+\dfrac{-12}{19}=\dfrac{7}{19}+\dfrac{-12}{19}=\dfrac{5}{19}\)
(19 - 32) - [(-32) - 11]
= 19 - 32 + 32 + 11
= (19 + 11) + (32 - 32)
= 30 + 0
= 30
(19 - 32) - [(-32) - 11]
= (-13) - (-43)
= (-13) + 43
= 30