Question

10.
Suma cifrelor numărului 2¹⁴×5¹¹-14 este egală cu:​
Dau coroană !

Answer 1

$2^{14}\cdot 5^{11}-14=$

$2^{3+11}\cdot 5^{11}-14=$

$2^3\cdot2^{11}\cdot5^{11}-14=$

$2^3\cdot(2\cdot5)^{11}-14=$

$2^3\cdot10^{11}-14=$

$8\cdot 1\underset{de\:11\:ori}{00...00}-14=$

$8\underset{de\:11\:ori}{00...00}-14=$

$1+7\underset{de\:11\:ori}{99...99}-14=$

$7\underset{de\:11\:ori}{99...99}-13=$

$7\underset{de\:9\:ori}{99...99}86$

Suma cifrelor:

$S=7+9\cdot9+8+6=$

$7+81+8+6=$

$102$

Raspuns: suma cifrelor este 102