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Worksheet Worksheet 4
1. The word decimal comes from the Latin root for ten. This is because numbers can be written in terms of powers of ten. This gives us a different way of writing the expanded form of a number:
\begin{equation*}
\begin{aligned}
238 \amp = 200 + 30 + 8 \\
\amp = 2 \cdot 100 + 3 \cdot 10 + 8 \cdot 1 \\
\amp = 2 \cdot 10^2 + 3 \cdot 10^1 + 8 \cdot 10^0
\end{aligned}
\end{equation*}
With this framework in mind, write the number 21.84 using expanded form and showing the powers of ten.
You don’t necessarily need to show all the steps, but you may find it helpful.
2. Write the number 107.509 using expanded form and showing the powers of ten.
3. Write the number 3100000000 using expanded form and showing the power of ten.
4. Write the number 0.000000079 using expanded form and showing the power of ten.
5. Describe some of the challenges that you faced in the last two calculations.
