a)67.153-53.67+712:8
=67.(153-53)+89
=67.100+89
=6789
\(a,67\times153-53\times67+712:8\)
\(=67\times\left(153-53\right)+\left(712:8\right)\)
\(=67\times100+89\)
\(=6700+89\)
\(=6789\)
\(b,168-\left\{5\times\left[143-\left(15-12\right)^2\right]+10\right\}:10\)
\(=168-\left\{5\times\left[143-3^2\right]+10\right\}:10\)
\(=168-\left\{5\times134+10\right\}:10\)
\(=168-\left\{670+10\right\}:10\)
\(=168-680:10\)
\(=168-68\)
\(=100\)
\(c,\left(-13\right)+84+\left(-87\right)+16\)
\(=13+84-87+16\)
\(=\left(13+87\right)-\left(84+16\right)\)
\(=100-100\)
\(=0\)
\(d,9-\left(12-15\right)\)
\(=9-\left(-3\right)\)
\(=12\)