Question

$\bf \: matemática$

Calcule a porcentagem dos valores abaixo conforme o que se pede:

a) 12% de 144

b) 25% de 1024

c) 1% de 123 587 600


▪︎ Se puder ajudar eu agradeço! Sem gracinhas. Preciso da explicação. Boa sorte! ★

​

Answer 1

$~\huge\mid{\boxed{\bf{\blue{Matem\acute{a}tica}}}\mid}$

A) $12\% \times 144$

• Por definição: $\color{green} {{  }}x\% = \frac{x}{100}$

$\frac{12}{100} \times 144$

• Divida a fração por 4 $\color{green} {{  }} \frac{12 \div 4}{100 \div 4} = \frac{3}{25}$

$\frac{3}{25} \times 144$

$\frac{3}{25} \times \frac{144}{1}$

$\frac{3 \times 144}{25 \times 1}$

Resposta : $\color{green} \boxed{{  \frac{432}{25} }}$

B) $25\% \times 1024$

• Faça a mesma definição

$\frac{25}{100} \times 1024$

• Reduza por 25 $\color{green} {{  }} \frac{25 \div 25}{100 \div 25} = \frac{1}{4}$

$\frac{1}{4} \times 1024$

• Simplifique o 1024 por 4 = 1024 ÷ 4 = 256

Resposta: $\color{green} \boxed{{ 256 }}$

C)

$1\% \times 123 \: 587 \: 600$

$\frac{1}{100} \times 123587600$

• Corte zeros

$\frac{1}{1\cancel{00  }} \times 1235876\cancel{ 00 }$

Resposta: $\color{green} \boxed{{ 1 \: 235 \: 876 }}$

${\huge\boxed { {\bf{E}}}\boxed { \red {\bf{a}}} \boxed { \blue {\bf{s}}} \boxed { \gray{\bf{y}}} \boxed { \red {\bf{}}} \boxed { \orange {\bf{M}}} \boxed {\bf{a}}}{\huge\boxed { {\bf{t}}}\boxed { \red {\bf{h}}}}$

Answer 2

PORCENTAGEM.

• RESOLUÇÃO:

$\Large\text{ \underline{Definic_{\!\!,}\tilde{a}o}: }\\\\\boxed{\boxed{\bold{ \blue{P\%=\frac{P}{100}}}}}$

$\Large\displaystyle\begin{gathered}\tt~a)~12\%=\frac{12}{100}=0,12\end{gathered}\\\\\Large\displaystyle\begin{gathered}\frac{\diagup\!\!\!\!\!\!12}{\diagup\!\!\!\!\!\!\!100}\cdot144~\Rightarrow~\frac{3}{25}\cdot144~\Rightarrow~\frac{3\cdot144}{25}~\Rightarrow~\frac{432}{25}~\Rightarrow~\boxed{17,28}~\checkmark\end{gathered}\\\\\\\Large\displaystyle\begin{gathered}\tt~b)~25\%=\frac{25}{100}=0,25\end{gathered}\\\\\\\Large\displaystyle\begin{gathered}\frac{\diagup\!\!\!\!\!\!25}{\diagup\!\!\!\!\!\!\!100}\cdot1.024~\Rightarrow~\frac{1}{\diagup\!\!\!\!4}\cdot1.\diagup\!\!\!\!\!\!024~\Rightarrow~\boxed{256}~\checkmark\end{gathered}\\\\\\\Large\displaystyle\begin{gathered}\tt~c)~1\%=\frac{1}{100}=0,01\end{gathered}\\\\\\\Large\displaystyle\begin{gathered}\frac{1}{1\diagup\!\!\!\!\!\!00}\cdot123.587.6\diagup\!\!\!\!\!00~\Rightarrow~\boxed{1.235.876}~\checkmark\end{gathered}$