Question
Answer
$$5^2(\dfrac{4^2}{2}+2)=250$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5^2(\frac{4^2}{2}+2)& \xlongequal{ }25(\frac{4^2}{2}+2) \xlongequal{ } \\[1 em] & \xlongequal{ }25(\frac{16}{2}+2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}25 \cdot \left(\frac{ 16 : \color{orangered}{ 2 } }{ 2 : \color{orangered}{ 2 }} + 2\right) \xlongequal{ } \\[1 em] & \xlongequal{ }25(\frac{8}{1}+2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}25\cdot(8+2) \xlongequal{ } \\[1 em] & \xlongequal{ }25\cdot10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}250\end{aligned} $$ | |
| ① | Divide both the top and bottom numbers by $ \color{orangered}{ 2 } $. |
| ② | Remove 1 from denominator. |
| ③ | $ 25 \cdot 10 = 250 $ |
This page was created using
Simplify Rational Expressions