Tính nhanh:
(24 - 6 : 0,25) x 2015 / 2015 x 2016
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= 2015 x ( 3 + 6 + 1 )
= 2015 x 10
= 20150
2016 x ( 111 - 11 )
= 2016 x 100
= 201600
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2015x3+2015x6+2015
= 2015 x ( 3+6+1 )
= 2015 x 10
= 20150
2016x111-11x2016
= 2016 x ( 111-11)
= 2016x100
= 201600
( 2013 x 2014 +2014 x 2015 + 2015 x 2016 ) x ( 1 + 1/3 - 1 - 1/3 )
= ( 2013 x 2014 + 2014 x 2015 + 2015 x 2016 ) x 0
= 0
=2015-(2015-2016)-2016+22017-2015-22015/22014-(1-4)-3-(5+6)+11
=(2015-2015)+(2016-2016)+22-2+3-3-11+11
=0+0+(4-2)+(3-3)-(11-11)
=2
1) 9 x 10 + 10 x 11 + 11 x 12 + ....+ 2015 x 2016
=9x10x11-8x9x10+10x11x12-9x10x11+...+2015x2016x2017-2014x2015x2013
=2015x2016x2017-8x9x10
=8193537360
Thay x = 2016 vào biểu thức B, ta có:
B = 20162016 - 2015.20162015 - 2015.20162014 - ... - 2015.20162 - 2015.2016 + 1
B = 20162016 - (2016 - 1).20162015 - (2016 - 1).20162014 - ... - (2016 - 1).20162 - (2016 - 1).2016 + 1
B = 20162016 - 20162016 + 20162015 - 20162015 + 20162014 - ... - 20163 + 20162 - 20162 + 2016 + 1
B = (20162016 - 20162016) + (20162015 - 20162015) + ... + (20162 - 20162) + (2016 + 1)
B = 2016 + 1 = 2017
Vậy ...
99 x 2015 + 2016 = 99 x 2015 + 2015 + 1
= 99 x 2015 + 2015 x 1 + 1
= ( 99 + 1 ) x 2015 + 1
= 100 x 2015 + 1
= 201500 + 1
= 201501
ta co:99x2015+2016=99x2015+2015+1=2015x100+1=201500+1=201501
a)\(=\frac{2017}{2016}.\frac{3}{4}-\frac{1}{2016}.\frac{3}{4}\)
\(=\frac{3}{4}\left(\frac{2017}{2016}-\frac{1}{2016}\right)\)
\(=\frac{3}{4}.1\)
\(=\frac{3}{4}\)
b)\(=\frac{2015}{2016}\left(\frac{1}{2}+\frac{1}{3}-\frac{5}{6}\right)\)
\(=\frac{2015}{2016}.0\)
\(=0\)
\(\dfrac{\left(24-6:0,25\right)x2015}{2015x2016}=\dfrac{\left(24-6x4\right)x2015}{2015x2016}=\dfrac{0x2015}{2015x2016}=\dfrac{0x1}{1x2016}=0\)
#\(Sky\)
\(\dfrac{\left(24-6:0,25\right)x2015}{2015x2016}\)
= \(\dfrac{\left(24-24\right)x2015}{2015x2016}\)
= \(\dfrac{0x2015}{2015x2016}\)
= \(\dfrac{0}{2016}=0\)