Chapter 0.3, Problem 21E

To determine

To calculate:have calculated product of the given value.

Answer to Problem 21E

Product of the given value is 1.15354

Explanation of Solution

Given that: $8.42\times 0.137$

Calculation:

Step 1 - The given decimal numbers are multiplied in the same manner as the whole number, Overlook the decimal point.

  $\begin{array}{c}\begin{array}{l}8.42\\ \times 0.137\end{array}\\ \begin{array}{l}5894\\ 2526\\ 6736\end{array}\\ 115354\end{array}$

Step 2 - compute the number of decimals in the given product, and place the decimal point in the product.

  $\begin{array}{c}\begin{array}{l}8.42\leftarrow 2\text{decimal digit}\\ \times 0.137\leftarrow 3\text{decimal digit}\end{array}\\ \begin{array}{l}5894\\ 2526\\ 6736\end{array}\\ 1.15354\leftarrow 5\text{decimal digit}\end{array}$