Question

18. Calculați în modul cel mai convenabil: a) 417×38+(583×11+583×27); c) (37×26+58×34)+21×26; b) 12×17+35×13+17×23; d) ((2²)³×74+102×10)+64×26.​

Answer 1

a)

$17\cdot \:38+\left(583\cdot \:11+583\cdot \:27\right) =$

$=17\cdot \:38+583\cdot \:11+583\cdot \:27$

$=646+6413+15741$

$=22800$

b)

$12\cdot \:17+35\cdot \:13+17\cdot \:23 =$

$=204+35\cdot \:13+17\cdot \:23$

$=204+455+17\cdot \:23$

$=204+455+391$

$= 1050$

c)

$\left(37\cdot \:26+58\cdot \:34\right)+21\cdot \:26 =$

$=2934+21\cdot \:26$

$=2934+546$

$=3480$

d)

$\left(\left(2^2\right)^3\cdot \:74+102\cdot \:10\right)+64\cdot \:26 =$

$=\left(2^2\right)^3\cdot \:74+102\cdot \:10+64\cdot \:26$

$=4736+1020+1664$

$=7420$

Answer 2

Explicație pas cu pas:

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