In the example problem, 2.4x10^6 was rewritten as 24x10^5. Explain why those expressions are equivalent.

Question
Complex numbers
asked 2021-01-17
In the example problem, \(\displaystyle{2.4}{x}{10}^{{6}}\) was rewritten as \(\displaystyle{24}{x}{10}^{{5}}\). Explain why those expressions are equivalent.

Answers (1)

2021-01-18
\(\displaystyle{2.4}={\left(\frac{{24}}{{10}}\right)}\) thus
\(\displaystyle{2.4}{x}{\left({10}\right)}^{{6}}={\left(\frac{{24}}{{10}}\right)}{x}{\left({10}\right)}^{{6}}={24}{x}{\left(\frac{{\left({10}\right)}^{{6}}}{{10}}\right)}={24}{x}{\left({10}\right)}^{{{6}-{1}}}={24}{x}{\left({10}\right)}^{{5}}\)
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