a) (-124) + 24 = -100
b) 37. 78 + 37. 22
=  37 . ( 78 + 22 )
=  37 . 100
= 3700

\(a) (-124) + 24 = -100 b) 37. 78 + 37. 22 = 37 . ( 78 + 22 ) = 37 . 100 = 3700\)

a) (- 124) + 24                                          b) 37 . 78 + 37 . 22

= - ( 124 - 24)                                              =37 . ( 78 + 22)

= - 100                                                        =37 . 100 

                                                                    3700

\(=\left(1^2+2^2+...+100^2\right)\cdot0=0\)

\(63,95\times83,567+6,395\times164,33\)

\(=63,95\times83,567+6,395\times16,433\times10\)

\(=63,95\times83,567+63,95\times16,433\)

\(=63,95\times\left(83,567+16,433\right)\)

\(=63,95\times100\)

\(=6395\)

\(=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)-\left(\dfrac{5}{41}+\dfrac{36}{41}\right)=1-1=0\)

1/2-5/41+1/2-39/41

=(1/2+1/2)-(5/41+39/41)

=1-1

=2

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`8 2/7-(3 4/9+4 2/7)`

`=8+2/7-(3+4/9+4+2/7)`

`=8+2/7-7-2/7-4/9`

`=1-4/9`

`=5/9`

8 2/7-(3 4/9+4 2/7)

=58/7-31/9-30/7

=(58/7-30/7)-31/9

=4-31/9

=5/9

\(8\dfrac{2}{7}-\)\(\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)

\(=\dfrac{58}{7}-\left(\dfrac{31}{9}+\dfrac{30}{7}\right)\)

\(=\dfrac{58}{7}-\left(\dfrac{217}{63}+\dfrac{270}{63}\right)\)

\(=\dfrac{58}{7}-\dfrac{487}{63}\)

\(=\dfrac{522}{63}-\dfrac{487}{63}\)

\(=\dfrac{35}{63}=\dfrac{5}{9}\)

\(=64\cdot\dfrac{-1}{8}+100\cdot\dfrac{1}{100}\)

=-8+1

=-7

\(A=-\dfrac{1}{6}-\left[\dfrac{9}{16}-\dfrac{9}{8}+\dfrac{3}{4}\right]\)

\(=\dfrac{-1}{6}-\dfrac{9-18+12}{16}=\dfrac{-1}{6}-\dfrac{3}{16}\)

\(=\dfrac{-8}{48}-\dfrac{9}{48}=-\dfrac{17}{48}\)

\(B=\left(-\dfrac{3}{4}+\dfrac{3}{4}\right)^2+\dfrac{3}{4}\cdot\dfrac{-5}{9}+7^3\)

=-15/36+343

=343-5/12=4111/12