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Exercises Expressions, exponents and radicals

Example 11 from Algebra and Trigonometry, 1.2 Exponents and Scientific Notation

Converting Scientific Notation to Standard Notation

Convert each number in scientific notation to standard notation.

ⓐ $3.547 \times 10^{14}$
ⓑ $−2 \times 10^{6}$
ⓒ $7.91 \times 10^{−7}$
ⓓ $−8.05 \times 10^{−12}$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1
Solution
1. ⓐ
  $\begin{array}{l} 3.547 \times 10^{14} \\ \underset{\to 14 places}{\underset{}{3.54700000000000}} \\ 354,700,000,000,000 \end{array}$
2. ⓑ
  $\begin{array}{l} −2 \times 10^{6} \\ \underset{\to 6 places}{\underset{}{−2.000000}} \\ −2,000,000 \end{array}$
3. ⓒ
  $\begin{array}{l} 7.91 \times 10^{−7} \\ \underset{\to 7 places}{\underset{}{0000007.91}} \\ 0.000000791 \end{array}$
4. ⓓ
  $\begin{array}{l} −8.05 \times 10^{−12} \\ \underset{\to 12 places}{\underset{}{−000000000008.05}} \\ −0.00000000000805 \end{array}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Convert each number in scientific notation to standard notation.

ⓐ $7.03 \times 10^{5}$
ⓑ $−8.16 \times 10^{11}$
ⓒ $−3.9 \times 10^{−13}$
ⓓ $8 \times 10^{−6}$

How did it go?

PreviousConverting Standard Notation to Scientific Notation Next Using Scientific Notation

From Algebra and Trigonometry (1st edition) by OpenStax (Rice University), section 1.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.