diff --git a/content/es/apuntes-segundo-tercero-eso/actividad-cientifica/index.md b/content/es/apuntes-segundo-tercero-eso/actividad-cientifica/index.md index af1398478..320728db6 100644 --- a/content/es/apuntes-segundo-tercero-eso/actividad-cientifica/index.md +++ b/content/es/apuntes-segundo-tercero-eso/actividad-cientifica/index.md @@ -175,20 +175,22 @@ donde $1 \leq a<10$ y $b$ puede ser cualquier número entero (positivo o negativ {{% callout example %}}
-\begin{align*} - 500 &\rightarrow 5\times 10^2 \\\\ - 520 &\rightarrow 5.2\times 10^2 \\\\ - 600000 &\rightarrow 6\times 10^5 \\\\ - 30000000 &\rightarrow 3\times 10^7 \\\\ - 500 000 000 000 000 &\rightarrow 5\times 10^{14} \\\\ - 7 000 000 000 000 000 000 000 000 &\rightarrow 7\times 10^{24} \\\\ - 0.05 &\rightarrow 5\times 10^{-2} \\\\ - 0.052 &\rightarrow 5.2\times 10^{-2} \\\\ - 0.0004 &\rightarrow 4\times 10^{-4} \\\\ - 0.000 000 01 &\rightarrow 1\times 10^{-8} \\\\ - 0.000 000 000 000 000 6 &\rightarrow 6\times 10^{-16} \\\\ +$$ +\begin{aligned} + 500 &\rightarrow 5\times 10^2 \\ + 520 &\rightarrow 5.2\times 10^2 \\ + 600000 &\rightarrow 6\times 10^5 \\ + 30000000 &\rightarrow 3\times 10^7 \\ + 500 000 000 000 000 &\rightarrow 5\times 10^{14} \\ + 7 000 000 000 000 000 000 000 000 &\rightarrow 7\times 10^{24} \\ + 0.05 &\rightarrow 5\times 10^{-2} \\ + 0.052 &\rightarrow 5.2\times 10^{-2} \\ + 0.0004 &\rightarrow 4\times 10^{-4} \\ + 0.000 000 01 &\rightarrow 1\times 10^{-8} \\ + 0.000 000 000 000 000 6 &\rightarrow 6\times 10^{-16} \\ 0.000 000 000 000 000 000 000 000 8 &\rightarrow 8\times 10^{-25} -\end{align*} +\end{aligned} +$$ {{% /callout %}} ### Factores de conversión @@ -199,18 +201,20 @@ Se trata de multiplicar por fracciones utilizando la conversión entre unidades. {{% callout example %}}
-\begin{align*} -13\thinspace\mathrm{cg} & \longrightarrow \mathrm{hg} \\\\ -13\thinspace\cancel{\mathrm{cg}} & \cdot \frac{1\thinspace\cancel{\mathrm g}}{10^2\thinspace\cancel{\mathrm{cg}}} \cdot \frac{1\thinspace\mathrm{hg}}{10^2\thinspace\cancel{\mathrm{g}}} = 1.3\times 10^{-3}\thinspace\mathrm{hg} \\\\ \\\\ -3\thinspace\mathrm{dam^2} &\longrightarrow \mathrm{mm^2} \\\\ -3\thinspace\cancel{\mathrm{dam^2}} &\cdot \frac{10^2\thinspace\cancel{\mathrm{m^2}}}{1\thinspace\cancel{\mathrm{dam^2}}} \cdot \frac{10^6\thinspace\mathrm{mm^2}}{1\thinspace\cancel{\mathrm{m^2}}} = 3\times 10^{8}\thinspace\mathrm{mm^2} \\\\ \\\\ -72\thinspace\mathrm{km/h} &\longrightarrow \mathrm{m/s} \\\\ -72\thinspace\frac{\cancel{\mathrm{km}}}{\cancel{\mathrm{h}}} &\cdot \frac{10^3\thinspace\mathrm{m}}{1\thinspace\cancel{\mathrm{km}}} \cdot \frac{1\thinspace\cancel{\mathrm{h}}}{3600\thinspace\mathrm{s}} = 20\thinspace\mathrm{m/s} \\\\ \\\\ -24\thinspace\mathrm{g/cm^3} &\longrightarrow \mathrm{\mu g/\mu L} \\\\ -24\thinspace\frac{\cancel{\mathrm g}}{\cancel{\mathrm{cm^3}}} &\cdot \frac{10^6\thinspace\mathrm{\mu g}}{1\thinspace\cancel{\mathrm{g}}} \cdot \frac{10^3\thinspace\cancel{\mathrm{cm^3}}}{1\thinspace\cancel{\mathrm{dm^3}}} \cdot \frac{1\thinspace\cancel{\mathrm{dm^3}}}{1\thinspace\cancel{\mathrm{L}}} \cdot \frac{1\thinspace\cancel{\mathrm{L}}}{10^6\thinspace\mathrm{\mu L}} = 2.4 \times 10^4\thinspace\mathrm{\mu g/\mu L} \\\\ \\\\ -5\thinspace\mathrm{L/s} &\longrightarrow \mathrm{m^3/h} \\\\ +$$ +\begin{aligned} +13\thinspace\mathrm{cg} & \longrightarrow \mathrm{hg} \\ +13\thinspace\cancel{\mathrm{cg}} & \cdot \frac{1\thinspace\cancel{\mathrm g}}{10^2\thinspace\cancel{\mathrm{cg}}} \cdot \frac{1\thinspace\mathrm{hg}}{10^2\thinspace\cancel{\mathrm{g}}} = 1.3\times 10^{-3}\thinspace\mathrm{hg} \\ \\ +3\thinspace\mathrm{dam^2} &\longrightarrow \mathrm{mm^2} \\ +3\thinspace\cancel{\mathrm{dam^2}} &\cdot \frac{10^2\thinspace\cancel{\mathrm{m^2}}}{1\thinspace\cancel{\mathrm{dam^2}}} \cdot \frac{10^6\thinspace\mathrm{mm^2}}{1\thinspace\cancel{\mathrm{m^2}}} = 3\times 10^{8}\thinspace\mathrm{mm^2} \\ \\ +72\thinspace\mathrm{km/h} &\longrightarrow \mathrm{m/s} \\ +72\thinspace\frac{\cancel{\mathrm{km}}}{\cancel{\mathrm{h}}} &\cdot \frac{10^3\thinspace\mathrm{m}}{1\thinspace\cancel{\mathrm{km}}} \cdot \frac{1\thinspace\cancel{\mathrm{h}}}{3600\thinspace\mathrm{s}} = 20\thinspace\mathrm{m/s} \\ \\ +24\thinspace\mathrm{g/cm^3} &\longrightarrow \mathrm{\mu g/\mu L} \\ +24\thinspace\frac{\cancel{\mathrm g}}{\cancel{\mathrm{cm^3}}} &\cdot \frac{10^6\thinspace\mathrm{\mu g}}{1\thinspace\cancel{\mathrm{g}}} \cdot \frac{10^3\thinspace\cancel{\mathrm{cm^3}}}{1\thinspace\cancel{\mathrm{dm^3}}} \cdot \frac{1\thinspace\cancel{\mathrm{dm^3}}}{1\thinspace\cancel{\mathrm{L}}} \cdot \frac{1\thinspace\cancel{\mathrm{L}}}{10^6\thinspace\mathrm{\mu L}} = 2.4 \times 10^4\thinspace\mathrm{\mu g/\mu L} \\ \\ +5\thinspace\mathrm{L/s} &\longrightarrow \mathrm{m^3/h} \\ 5\thinspace\frac{\cancel{\mathrm L}}{\cancel{\mathrm s}} &\cdot \frac{1\thinspace\mathrm m^3}{10^3\thinspace\cancel{\mathrm L}} \cdot \frac{3600\thinspace\cancel{\mathrm s}}{1\thinspace\mathrm h} = 18\thinspace\mathrm{m^3/h} -\end{align*} +\end{aligned} +$$ {{% /callout %}} ## Laboratorio escolar diff --git a/content/es/slides/actividad-cientifica-2ESO-3ESO/index.md b/content/es/slides/actividad-cientifica-2ESO-3ESO/index.md index 7b21f55b8..20dc82ee0 100644 --- a/content/es/slides/actividad-cientifica-2ESO-3ESO/index.md +++ b/content/es/slides/actividad-cientifica-2ESO-3ESO/index.md @@ -176,24 +176,29 @@ donde $1 \leq a<10$ y $b$ puede ser cualquier número entero (positivo o negativ --- #### Ejemplos -\begin{align*} - 500 &\rightarrow 5\times 10^2 \\\\ - 520 &\rightarrow 5.2\times 10^2 \\\\ - 600000 &\rightarrow 6\times 10^5 \\\\ - 30000000 &\rightarrow 3\times 10^7 \\\\ - 500 000 000 000 000 &\rightarrow 5\times 10^{14} \\\\ +$$ +\begin{aligned} + 500 &\rightarrow 5\times 10^2 \\ + 520 &\rightarrow 5.2\times 10^2 \\ + 600000 &\rightarrow 6\times 10^5 \\ + 30000000 &\rightarrow 3\times 10^7 \\ + 500 000 000 000 000 &\rightarrow 5\times 10^{14} \\ 7 000 000 000 000 000 000 000 000 &\rightarrow 7\times 10^{24} -\end{align*} +\end{aligned} +$$ --- -\begin{align*} - 0.05 &\rightarrow 5\times 10^{-2} \\\\ - 0.052 &\rightarrow 5.2\times 10^{-2} \\\\ - 0.0004 &\rightarrow 4\times 10^{-4} \\\\ - 0.000 000 01 &\rightarrow 1\times 10^{-8} \\\\ - 0.000 000 000 000 000 6 &\rightarrow 6\times 10^{-16} \\\\ + +$$ +\begin{aligned} + 0.05 &\rightarrow 5\times 10^{-2} \\ + 0.052 &\rightarrow 5.2\times 10^{-2} \\ + 0.0004 &\rightarrow 4\times 10^{-4} \\ + 0.000 000 01 &\rightarrow 1\times 10^{-8} \\ + 0.000 000 000 000 000 6 &\rightarrow 6\times 10^{-16} \\ 0.000 000 000 000 000 000 000 000 8 &\rightarrow 8\times 10^{-25} -\end{align*} +\end{aligned} +$$ ---