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a, 13 \(\times\) 15 - 150 + 97 \(\times\)15
13 \(\times\) 15 - 15 \(\times\) 10 + 97 \(\times\) 15
= 15 \(\times\) ( 13 - 10 + 97)
= 15 \(\times\) ( 3 + 97)
= 15 \(\times\) 100
=1500
b, \(\dfrac{2016}{2015}\) \(\times\) \(\dfrac{4}{7}\) - \(\dfrac{4}{7}\) \(\times\) \(\dfrac{1}{2015}\) + \(\dfrac{3}{7}\)
= \(\dfrac{4}{7}\) \(\times\) ( \(\dfrac{2016}{2015}\) - \(\dfrac{1}{2015}\)) + \(\dfrac{3}{7}\)
= \(\dfrac{4}{7}\) \(\times\) \(\dfrac{2015}{2015}\) + \(\dfrac{3}{7}\)
= \(\dfrac{4}{7}\) + \(\dfrac{3}{7}\)
= \(\dfrac{7}{7}\)
= 1
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(13\) \(\times\) 15 - 150 + 97 \(\times\) 15
= 15 \(\times\) ( 13 - 10 + 97)
= 15 \(\times\) ( 3 + 97)
= 15 \(\times\) 100
= 1500
b, \(\dfrac{2016}{2015}\) \(\times\) \(\dfrac{4}{7}\) - \(\dfrac{4}{7}\) \(\times\) \(\dfrac{1}{2015}\) + \(\dfrac{3}{7}\)
= \(\dfrac{4}{7}\) \(\times\) ( \(\dfrac{2016}{2015}\) - \(\dfrac{1}{2015}\)) + \(\dfrac{3}{7}\)
= \(\dfrac{4}{7}\) \(\times\) \(\dfrac{2015}{2015}\) + \(\dfrac{3}{7}\)
= \(\dfrac{4}{7}\) + \(\dfrac{3}{7}\)
= \(\dfrac{7}{7}\)
= 1
![](https://rs.olm.vn/images/avt/0.png?1311)
Gọi tổng trên là A
Ta có 3 x A = 1 x 2 x 3 + 2 x 3 x 3 + 3 x 4 x 3 + ... + 2015 x 2016 x 3
3 x A = 1 x 2 x (3 - 0) + 2 x 3 x (4 - 1) + 3 x 4 x (5 - 2) + ... + 2015 x 2016 x (2017 - 2014)
3 x A = 1 x 2 x 3 + 2 x 3 x 4 - 1 x 2 x 3 + 3 x 4 x 5 - 2 x 3 x 4 + .. + 2015 x 2016 x 2017 - 2014 x 2015 x 2016
=> 3 x A = 2015 x 2016 x 2017
=> A = 2015 x 672 x 2017 = ...
![](https://rs.olm.vn/images/avt/0.png?1311)
1) 9 x 10 + 10 x 11 + 11 x 12 + ....+ 2015 x 2016
=9x10x11-8x9x10+10x11x12-9x10x11+...+2015x2016x2017-2014x2015x2013
=2015x2016x2017-8x9x10
=8193537360
![](https://rs.olm.vn/images/avt/0.png?1311)
\(M=\dfrac{3}{1\times2}+\dfrac{3}{2\times3}+\dfrac{3}{3\times4}+...+\dfrac{3}{2015\times2016}+\dfrac{3}{2016\times2017}\)
\(=3\times\left(\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+...+\dfrac{1}{2015\times2016}+\dfrac{1}{2016\times2017}\right)\)
\(=3\times\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2015}-\dfrac{1}{2016}+\dfrac{1}{2016}-\dfrac{1}{2017}\right)\)
\(=3\times\left(1-\dfrac{1}{2017}\right)\)
\(=3\times\dfrac{2016}{2017}\)
\(=\dfrac{6048}{2017}\)
#DatNe
= 2016 x 0,24 + 0,75 x 2016 + 2016 x 0,01
= 2016 x ( 0,24 + 0,75 + 0,01 )
= 2016 x 1
= 2016
=2016 x 0,24 + 2016 x 0,75 + 2016 x 0,01
=2016 x ( 0,24 + 0,75 + 0,01 )
=2016 x 1
=2016