\(a,=-17+91-91+17+2011=\left(-17+17\right)+\left(91-91\right)+2011\)

\(=0+0+2011=2011\)

b)\(=\dfrac{4}{7}+\dfrac{1}{6}-0,375.4=\dfrac{31}{42}-\dfrac{3}{2}=-\dfrac{16}{21}\)

\(b)\) \(\dfrac{4}{7}\) + \(\dfrac{5}{6}\) : \(5\) \(- 0,375 .(-2)\)²\(=\) \(\dfrac{4}{7}\) + \(\dfrac{1}{6}\) - \(0,375\) . \(4\)

= \(\dfrac{4}{7}\) + \(\dfrac{1}{6}\) - \(\dfrac{3}{2}\) = \(\dfrac{4.6}{42}\) +  \(\dfrac{1.7}{42}\) - \(\dfrac{3.21}{42}\) = \(-\)\(\dfrac{16}{21}\)

7⁸ :7⁶ + 4.4² - 13 
= 7² + 4³ - 13
= 49 + 64 - 13
= 113 - 13
= 100

`1,14 . 6,4 + 1,14 . 3,6 + 0,2 . 1,14 . 5`

`= 1,14 . (3,6 + 6,4 + 1)`

`= 1,14 . 11`

`= 12,54`

15 - (+72) + (+75) + (+72)

= 15 - 72 + 75 + 72

= -57 + 75 + 52

= 18 + 52

= 70

a)18.17-3.6.37

=18.17-(3.6).37

=18.17-18.37

=18.(17-37)

=18.(-20)

=-360

=4.28.25

=(4.25).28

=100.28

=2800

  2². 28. 5²

= ( 2² . 5² ) . 28

= ( 4 . 25 ) .28

= 100 . 28

= 2800

2^2.28.5^2

=2^2.2^2.7.5^2

=2^2(7.25)

=4.175

=700

(Tham khảo ik ek ak lm sai vho ek r đó

1) A=\(\dfrac{7}{1.3}+\dfrac{7}{3.5}+\dfrac{7}{5.7}+...+\dfrac{7}{99.101}\)=\(\dfrac{7.2}{1.3.2}+\dfrac{7.2}{3.5.2}+\dfrac{7.2}{5.7.2}+...+\dfrac{7.2}{99.101.2}\)=

\(\dfrac{7}{2}\left(\text{​​}\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{99.101}\right)\)=

\(\dfrac{7}{2}\left(\text{​​}1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}...+\dfrac{1}{99}-\dfrac{1}{101}\right)\)=

\(\dfrac{7}{2}\left(\text{​​}1-\dfrac{1}{101}\right)\)=\(\dfrac{7}{2}.\dfrac{100}{101}=\dfrac{350}{101}\)

2) A=\(\dfrac{1}{2}+\dfrac{2}{2.4}+\dfrac{3}{4.7}+\dfrac{4}{7.11}+\dfrac{5}{11.16}\)=\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{16}\)

=\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{16}\)=\(1-\dfrac{1}{16}=\dfrac{15}{16}\)