a) \(79\cdot283+21\cdot301+79\cdot17-21\)
\(=79\cdot283+21\cdot301+79\cdot17-21\cdot1\)
\(=79\cdot\left(283+17\right)+21\cdot\left(301-1\right)\)
\(=79\cdot300+21\cdot300\)
\(=\left(79+21\right)\cdot300\)
\(=100\cdot300=30000\)
b) \(8^{19}:8^{18}\cdot8+4\cdot3^2-1^{2018}\)
\(=8^{19}:8^{18}\cdot8^1+4\cdot9-1\)
\(=8^{19-18+1}+36-1\)
\(=8^2+36-1\)
\(=64+36-1\)
\(=100-1=99\)
c) \(700+\left\{5\cdot\left[60:\left(5-3\cdot7^0\right)\right]-10^2\right\}\)
\(=700+\left\{5\cdot\left[60:\left(5-3\cdot1\right)\right]-100\right\}\)
\(=700+\left\{5\cdot\left[60:\left(5-3\right)\right]-100\right\}\)
\(=700+\left\{5\cdot\left[60:2\right]-100\right\}\)
\(=700+\left\{5\cdot30-100\right\}\)
\(=700+\left\{150-100\right\}\)
\(=700+50=750\)
a) 79.283+21.301+79.17-21
= 79.283+21.301+79.17-21.1
= 79.(283+17) . 21.(301-1)
= 79.300 + 21.300
= (79+21).300
= 100 . 300
= 30 000
a) 79 . 283 + 21 . 301 + 79 . 17 − 21
= 79 . 283 + 21 . 301 + 79 . 17 − 21 . 1
= 79 . (283 + 17) + 21 . (301 − 1)
= 79 . 300 + 21 . 300
= (79 + 21) . 300
= 100 . 300 = 30000
b) 819 : 818 . 8 + 4 . 32 − 12018
= 819 : 818 . 81 + 4 . 9 − 1
= 819 − 18 + 1 + 36 − 1
= 82 + 36 − 1
= 64 + 36 − 1
= 100 − 1 = 99
c) 700 + {5 . [60 : (5 − 3 .70)] − 102}
= 700 + {5 . [60 : (5 − 3 . 1)] − 100}
= 700 + {5 . [60 : (5 − 3)] − 100}
= 700 + {5 . [60 : 2] − 100}
= 700 + {5 . 30 − 100}
= 700 + {150 − 100}
= 700 + 50 = 750
