Chapter SR9, Problem 23P

Solution

To perform the calculation $\text{\$6}\text{.95 per ticket}\cdot \text{180 tickets}$ and write the answer with appropriate number of significant digits.

  $\$1250$

Given:

The expression, $\text{\$6}\text{.95 per ticket}\cdot \text{180 tickets}$ .

Concept Used:

Significant digits

• All nonzero digits are significant.
• All zeros that appear between two nonzero digits are significant.
• For a decimal, all zeros that appear after the last nonzero digit are significant.
• The number of significant digits in the result of basic algebraic operations between two numbers is as many significant digits as the least number of significant digits in any of the numbers involved.

Calculation:

Note that there are 3 significant digits in 6.95 and 2 significant digits in 180. Since the number of tickets is exact, consider the 3 significant digits to the price per ticket. So, the final answer should have 3 significant digits as shown below

  $\begin{array}{c}6.95\cdot 180=1251\\ =\$1250\end{array}$

Thus, the simplified expression with appropriate significant digits is $\$1250$ .