Project ID:
5000000021
Accepted:
Template:
Question:
The following diagram presents: \( \mathbb{N} \) -- Natural numbers, \( \mathbb{Z} \) -- Integers, \( \mathbb{Q} \) -- Rational numbers, \( \mathbb{R}\setminus \mathbb{Q} \) -- Irrational numbers. In the table, specify the smallest number set to which the given number belongs.
Answer Header 1:
\( \mathbb{N} \)
Answer Header 2:
\( \mathbb{Z}\setminus \mathbb{N} \)
Answer Header 3:
\( \mathbb{Q}\setminus \mathbb{Z} \)
Answer Header 4:
\( \mathbb{R}\setminus \mathbb{Q} \)
Question Row 1:
\( 0{,}2^{-1} \)
Answer Row 1:
1
Question Row 2:
\( \sqrt{1\frac{1}{16}} \)
Answer Row 2:
4
Question Row 3:
\( \left(\frac49\right)^3\cdot\left(\frac8{27}\right)^{-2} \)
Answer Row 3:
1
Question Row 4:
\( \left(\sqrt\pi\right)^2 \)
Answer Row 4:
4
Question Row 5:
\( (-0{,}5)^{-3} \)
Answer Row 5:
2
Question Row 6:
\( \sqrt[3]{-16}\cdot\sqrt[3]{32} \)
Answer Row 6:
2
Question Row 7:
\( \sqrt[3]{-15\frac58} \)
Answer Row 7:
3
Question Row 8:
\( (128)^{\frac17} \)
Answer Row 8:
1
Tex:
% tiket 32669
\pocetsloupcu{4}
\let\oldQuestion\Question
\def\I{\mathrm{i}}
\def\Question{
\begin{minipage}[t]{0.6\linewidth}
\leavevmode
\kern -20pt
\oldQuestion
\end{minipage}
\hfill
\begin{minipage}[t]{0.35\linewidth}
\leavevmode
\kern -30pt
\def\delka{0.3cm}
\obrMsr[x=\delka,y=\delka]{0}{10}{0}{10}
{
\draw[thick] (0,2) -- (10,2) -- (10,10) -- (0,10) -- cycle;
\draw[thick] (0,5) -- (10,5);
\draw[thick] (1.5,6) -- (1.5,9) -- (8.5,9) -- (8.5,6) -- cycle;
\draw[thick] (5,7.5) ellipse (2 and 1);
\draw (5,7.5) node[]{$\mathbb{N}$};
\draw (2.25,8) node[]{$\mathbb{Z}$};
\draw (0.75,9) node[]{$\mathbb{Q}$};
\draw (2.25,4) node[]{$\mathbb{R}\setminus\mathbb{Q}$};
}
\end{minipage}\vspace*{-3pt}}