196:{64-196:{64-[18+2.(25-21)2]}
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22 tháng 11 2018
thoạt tiên bn đã vt sai đề :(chỗ in đậm)
196:{64-196:{64-[18+2(25-21)2]}}
=196:{64-196:{64-[18+2.42]}}
=196:{64-196:{64-[18+32]}}
=196:{64-196:{64-50}}
=196:{64-196:14}}
=196:{64-14}
=196:50
=3.92
27 tháng 7 2019
d, ( 417 + 64 ) : ( 416 + 16 )
= ( 417 + 43 ) : ( 416 + 42 )
= 420 : 418 = 42 = 16
Chúc bn hc tốt <3
15 tháng 1 2017
A : 196 x 56 + 196 x 41 + 4 x 196 - 196 x 1
= 196 x ( 56 + 41 + 4 - 1 )
= 196 x 100
= 19 600
B : 132 x 19 + 132 x 18 + 64 x 132 - 132 x 1
= 132 x ( 19 + 18 + 64 - 1 )
= 132 x 100
= 13 200
C : 145 x 69 + 145 x 32 - 145 x 1
= 145 x ( 69 + 32 - 1 )
= 145 x 100
= 14 500
15 tháng 1 2017
A = 196 x 56 + 196 x 41 + 4 x 196 - 196
A = 196 x ( 56 + 41 + 4 - 1 )
A = 196 x 100 = 19600
B = 132 x 19 + 132 x 18 + 64 x 132 - 132
B = 132 x ( 19 + 18 + 64 - 1 )
B = 132 x 100 = 13200
C = 145 x 69 + 145 x 32 - 145
C = 145 x ( 69 + 32 - 1 )
C = 145 x 100 = 14500
HT
2
25 tháng 5 2020
b,A= \(\dfrac{11}{15}<\dfrac{1}{21}+\dfrac{1}{22}+\dfrac{1}{23}+...+\dfrac{1}{59}+\dfrac{1}{60}<\dfrac{3}{2}\)
\(=(\dfrac{1}{21}+\dfrac{1}{22}+\dfrac{1}{23}+....+\dfrac{1}{40})+(\dfrac{1}{41}+...+1...\)
\(=(\dfrac{20}{20.21}+\dfrac{21}{21.22}+...+\dfrac{39}{39.40})+(40/...\)
\(20(\dfrac{1}{20.21}+\dfrac{1}{21.22}+...\dfrac{1}{39.40})+40(\dfrac{1}{40}...\)
\(20(\dfrac{1}{20}-\dfrac{1}{40})+40(\dfrac{1}{40}-\dfrac{1}{60})>\dfrac{11}{15}\)
Lại có \(A<40(\dfrac{1}{20.21}+...\dfrac{1}{39.40})+60(\dfrac{1}{40.41}+...+...\)
\(=40(\dfrac{1}{20}-\dfrac{1}{40})+60(\dfrac{1}{40}-\dfrac{1}{60})<\dfrac{3}{2}\)
=> \(\dfrac{11}{15}<\dfrac{1}{21}+\dfrac{1}{22}+\dfrac{1}{23}+...+\dfrac{1}{59}+\dfrac{1}{60}<\dfrac{3}{2}\)
25 tháng 5 2020
a,\( \dfrac{1}{4}+ \dfrac{1}{16}+ \dfrac{1}{36}+ \dfrac{1}{64}+ \dfrac{1}{100}+ \dfrac{1}{144}+ \dfrac{1}{196}\)
= \( \dfrac{1}{4}+ \dfrac{1}{16}+ \dfrac{1}{36}+...+ \dfrac{1}{196} < \dfrac{1}{2^2-1}+ \dfrac{1}{4^2-1}+ \dfrac{1}{6^2-1}+...+ \dfrac{1}{14^2-1}\)
= \( \dfrac{1}{1.3}+ \dfrac{1}{3.5}+ \dfrac{1}{5.7}+...+ \dfrac{1}{13.15}\)
= \( \dfrac{1}{2}(1- \dfrac{1}{3}+ \dfrac{1}{3}- \dfrac{1}{5}+ \dfrac{1}{5}- \dfrac{1}{7}+ \dfrac{1}{7}-...- \dfrac{1}{13}+ \dfrac{1}{13}- \dfrac{1}{15})\)
= \( \dfrac{1}{2}(1- \dfrac{1}{15})< \dfrac{1}{2}\)
Vậy \( \dfrac{1}{4}+ \dfrac{1}{16}+ \dfrac{1}{36}+ \dfrac{1}{64}+ \dfrac{1}{100}+ \dfrac{1}{144}+ \dfrac{1}{196}\) \(<\dfrac{1}{2} \)
24 tháng 12 2023
a: \(A=\dfrac{1-\dfrac{1}{\sqrt{49}}+\dfrac{1}{49}-\dfrac{1}{\left(7\sqrt{7}\right)^2}}{\dfrac{\sqrt{64}}{2}-\dfrac{4}{7}+\left(\dfrac{2}{7}\right)^2-\dfrac{4}{343}}\)
\(=\dfrac{1-\dfrac{1}{7}+\dfrac{1}{49}-\dfrac{1}{343}}{4-\dfrac{4}{7}+\dfrac{4}{49}-\dfrac{4}{343}}\)
\(=\dfrac{1-\dfrac{1}{7}+\dfrac{1}{49}-\dfrac{1}{343}}{4\left(1-\dfrac{1}{7}+\dfrac{1}{49}-\dfrac{1}{343}\right)}=\dfrac{1}{4}\)
b: \(M=1-\dfrac{5}{\sqrt{196}}-\dfrac{5}{\left(2\sqrt{21}\right)^2}-\dfrac{\sqrt{25}}{204}-\dfrac{\left(\sqrt{5}\right)^2}{374}\)
\(=1-\dfrac{5}{14}-\dfrac{5}{84}-\dfrac{5}{204}-\dfrac{5}{374}\)
\(=1-5\left(\dfrac{1}{14}+\dfrac{1}{84}+\dfrac{1}{204}+\dfrac{1}{374}\right)\)
\(=1-5\left(\dfrac{1}{2\cdot7}+\dfrac{1}{7\cdot12}+\dfrac{1}{12\cdot17}+\dfrac{1}{17\cdot22}\right)\)
\(=1-\left(\dfrac{5}{2\cdot7}+\dfrac{5}{7\cdot12}+\dfrac{5}{12\cdot17}+\dfrac{5}{17\cdot22}\right)\)
\(=1-\left(\dfrac{1}{2}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{12}+\dfrac{1}{12}-\dfrac{1}{17}+\dfrac{1}{17}-\dfrac{1}{22}\right)\)
\(=1-\left(\dfrac{1}{2}-\dfrac{1}{22}\right)\)
\(=1-\dfrac{11-1}{22}=1-\dfrac{10}{22}=\dfrac{12}{22}=\dfrac{6}{11}\)
NN
Nguyễn Ngọc Anh Minh
CTVHS
VIP
25 tháng 2 2017
1/144 PHẢI ĐỔI THÀNH 1/100 MỚI ĐÚNG HƠN. BẠN XEM LẠI ĐỀ BÀI XEM
\(A< \frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}+\frac{1}{11.13}+\frac{1}{13.15}.\)
\(2A< \frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}+\frac{2}{13.15}\)
\(2A< \frac{3-1}{1.3}+\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+\frac{11-9}{9.11}+\frac{13-11}{11.13}+\frac{15-13}{13.15}\)
\(2A< 1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}=1-\frac{1}{15}< 1\)
\(\Rightarrow2A< 1\Rightarrow A< \frac{1}{2}\)
HC
0
Bài làm
196:{64-196:{64-[18+2.(25-21)2]}}
=196:{64-196:{64-[18+2.42]}}
=196:{64-196:{64-[18+2.16]}}
=196:{64-196:{64-[18+32]}}
=196:{64-196:{64-50}}
=196:{64-196:14}
=196:{64-14}
=196:50
=3,92
# Chúc bạn học tốt #
196 : { 64 - 196 : { 64 - [ 18 + 2 . ( 25 - 21 )2 ] }
= 196 : { 64 - 196 : { 64 - [ 18 + 2 . 42 ] }
= 196 : { 64 - 196 : { 64 - [ 18 + 2 . 16 ] }
= 196 : { 64 - 196 : { 64 - [ 18 + 32 ] }
= 196 : { 64 - 196 : { 64 - 50 } }
= 196 : { 64 - 196 : 14 }
= 196 : { 64 - 14 }
= 196 : 50
= 3, 92