Question

Se a e b são numeros nuturais tais que a.b=520,determine o valor de: 2.a.b, a.(50.b), (2.a).(2.b), 4.a.b+10.a.b Obrigado!

Answer 1

Olá, JJose.

 

$<var>a\cdot b=520\\\\ 2\cdot\underbrace{a\cdot b}_{=520}=2\cdot520=1040\\\\ a\cdot(50\cdot b) = 50\cdot \underbrace{a\cdot b}_{=520} = 50 \cdot 520 = 26000\\\\ (2\cdot a)\cdot(2\cdot b)=2\cdot 2\cdot \underbrace{a\cdot b}_{=520} = 4 \cdot 520 = 2080\\\\ 4\cdot a\cdot b+10\cdot a\cdot b=\underbrace{a\cdot b}_{=520} \cdot (4 + 10) = 520 \cdot 14 = 7280</var>$

Answer 2

Como $\text{a}\cdot\text{b}=520$, segue que:

 

$2\cdot\text{a}\cdot\text{b}=2\cdot520=1~040$

 

$2\cdot50\cdot\text{b}=520\cdot50=26~000$

 

$2\cdot\text{a}\cdot2\cdot\text{b}=520\cdot4=2~080$

 

$4\cdot\text{a}\cdot\text{b}+10\cdot\text{a}\cdot\text{b}=4\cdot520+10\cdot520=2~080+5~200=7~280$