Answered: Perform the indicated computations,…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.10: Scientific Notation

Problem 2OE

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Question

Perform the indicated computations, writing the answers in scientific notation:
a. (7.1 x 10⁵)(5 x10^-7) b. 1.2 x 10⁶ / 3 x 10^-3 .

Expert Solution

Step 1

To perform the indicated operations and then to write answer in scientific notation.

(a). $(7.1 \times 10^{5}) (5 \times 10^{- 7})$

Simplifying the expression.

$\begin{array}{rcl} (7.1 \times 10^{5}) (5 \times 10^{- 7}) & = & 7.1 \times 5 \times 10^{5} \times 10^{- 7} \\ = & 35.5 \times 10^{5 - 7} [Using a^{m} \cdot a^{n} = a^{m + n}] \\ = & 35.5 \times 10^{- 2} \\ = & 3.55 \times 10^{- 1} \end{array}$

Therefore, required answer is $3.55 \times 10^{- 1}$ .

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