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bài 6: TÍNH NHANH NÂNG CAO LỚP 5
A= 1/5+1/25+1/125+1/625+1/3125
giải hộ mình nhanh nhanh nha các bạn
5A=(1/5+1/25+1/125+1/625+1/3125)*5
5A=(1+1/5+1/25+1/125+1/625)
5A-A=(1+1/5+1/25+1/125+1/625)-(1/5+1/25+1/125+1/625+1/3125)=1-1/3125
4A=1-1/3125=3124/3125
A=3124/3125:4=781/3125.
A = 3/1×5 + 3/5×9 + 1/9×13 + ... + 9/97×101 + 3/101×105
A = 3/4 × (4/1×5 + 4/5×9 + 4/9×13 + ... + 4/97×101 + 4/101×105)
A = 3/4 × (1 - 1/5 + 1/5 - 1/9 + 1/9 - 1/13 + ... + 1/97 - 1/101 + 1/101 - 1/105)
A = 3/4 × (1 - 1/105)
A = 3/4 × 104/105
A = 26/35
B = 1/5 + 1/25 + 1/125 + 1/625 + 1/3125 + 1/15625
5B = 1 + 1/5 + 1/25 + 1/125 + 1/625 + 1/3125
5B - B = (1 + 1/5 + 1/25 + 1/125 + 1/625 + 1/3125) - (1/5 + 1/25 + 1/125 + 1/625 + 1/3125 + 1/15625)
4B = 1 - 1/15625
4B = 15624/15625
B = 15624/15625 : 4
B = 3906/15625
C = 1 + 2 + 4 + 8 + 16 + ... + 2048 + 4096
2C = 2 + 4 + 8 + 16 + 32 + ... + 4096 + 8192
2C - C = (2 + 4 + 8 + 16 + 32 + ... + 4096 + 8192) - (1 + 2 + 4 + 8 + ... + 2048 + 4096)
B = 8192 - 1
B = 8191
a,7429-(3125+4297)
=7407-93103+4297)
=7407-7400
7
b,9/8-(17/7-3/7)+7/8
=(9/8 +7/8)-(17/7-3/7)
=2-2
=0
c,tự làm nhé..
2) \(\frac{3}{1\times3}+\frac{3}{3\times5}+\frac{3}{5\times7}+...+\frac{3}{99\times101}+\frac{3}{101\times103}\)
\(=\frac{3}{2}\times\left(\frac{2}{1\times3}+\frac{2}{3\times5}+\frac{2}{5\times7}+...+\frac{2}{101\times103}\right)\)
\(=\frac{3}{2}\times\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{101}-\frac{1}{103}\right)\)
\(=\frac{3}{2}\times\left(1-\frac{1}{103}\right)\)
\(=\frac{3}{2}\times\frac{101}{103}\)
\(=\frac{303}{206}\)
a,7429-(3125+429)
=7429-3125-429
=(7429-429)-3125
=7000-3125
=3875
b,\(\frac{19}{37}+\left(1-\frac{19}{37}\right)\)
=\(\frac{19}{37}+1-\frac{19}{37}\)
=\(\frac{19}{37}-\frac{19}{37}+1\)
=\(0+1\)
=\(1\)
a) 7429-(3125+429)=7429-3125-429=7429-429-3125=7000-3125=3875
b) 19/37+(1-19/37)=(19/37-19/37)+1=0+1=1
mk chi biet cau a thoi cau b mk chua chac chan
cau a dap an la 15625 nha
a.1/4 +3/8 +5/16=15/16
b, 3/5 - 1/3 -1/6=1/10
c, 4/7 *5/8 *7/12=5/24
d. 25/28 : 15/24 * 6/7=60/49
a)\(\frac{3}{5}+25-\frac{1}{5}=\frac{3}{5}-\frac{1}{5}+25=\frac{2}{5}+25=25\frac{2}{5}=\frac{129}{5}\)
b)\(6h45+14h30:5=6,75h+14,5h:5=6,75h+2,9h=9,65h\)
c)\(13.3.32,37+67,63.39=39.32,37+67,63.39=39.\left(32,37+67,63\right)=39.100=3900\)
d)
a.\(\frac{3}{5}+25-\frac{1}{5}=\left(\frac{3}{5}-\frac{1}{5}\right)+25=\frac{2}{5}+25=25.4\)
b. 6h45' + 14h30' : 5 = 6h45' + 2h54' = 9h 39'
c.13 x 3 x 32.5 + 67.63 x 39 = 3905.07
d.\(\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{5}\right)\)
=\(\left(\frac{2}{2}-\frac{1}{2}\right)\cdot\left(\frac{3}{3}-\frac{1}{3}\right)\cdot\left(\frac{4}{4}-\frac{1}{4}\right)\)
=\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}=\frac{1}{4}\)
781/3125