62 lines
1.2 KiB
TeX
62 lines
1.2 KiB
TeX
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\section{Squares, Cubes, and Roots}
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Now, take a look at scales A and B, and note the label on the right: $x^2$. If C, D are $x$, A and B are $x^2$, and K is $x^3$.
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\medskip
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Finding squares of numbers up to ten is straightforward: just read the scale. \\
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Square roots are also easy: find your number on B and read its pair on C. \\
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\def\sliderulewidth{13}
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\begin{center}
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\begin{tikzpicture}[scale=1]
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\abscale{0}{1}{B}
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\cdscale{0}{0}{C}
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\end{tikzpicture}
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\end{center}
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\problem{}
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Compute the following.
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\begin{enumerate}
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\item $1.5^2$
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\item $3.1^2$
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\item $7^3$
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\item $\sqrt{14}$
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\item $\sqrt[3]{150}$
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\end{enumerate}
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\begin{solution}
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\begin{enumerate}
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\item $1.5^2 = 2.25$
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\item $3.1^2 = 9.61$
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\item $7^3 = 343$
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\item $\sqrt{14} = 3.74$
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\item $\sqrt[3]{150} = 5.313$
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\end{enumerate}
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\end{solution}
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\vfill
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\problem{}
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Compute the following.
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\begin{enumerate}
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\item $42^2$
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\item $\sqrt{200}$
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\item $\sqrt{2000}$
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\item $\sqrt{0.9}$
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\item $\sqrt[3]{0.12}$
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\end{enumerate}
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\begin{solution}
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\begin{enumerate}
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\item $42^2 = 1,764$
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\item $\sqrt{200} = 14.14$
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\item $\sqrt{2000} = 44.72$
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\item $\sqrt{0.9} = 0.948$
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\item $\sqrt[3]{0.12} = 0.493$
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\end{enumerate}
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\end{solution}
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\vfill
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\pagebreak
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