Chapter 5, Problem 28A

Interpretation Introduction

Interpretation: The following sentence needs to be filled.

When the calculation $\left(0.0043\right)\left(0.0821\right)\left(298\right)$ is performed. The answer should be reported to _________ significant figure.

Concept introduction: Scientific notation is quantitative information is called a measurement and exists of a number and a unit. By using scientific notation too large or too small numbers are conveniently expressed.

Answer to Problem 28A

When the calculation $\left(0.0043\right)\left(0.0821\right)\left(298\right)$ is performed. The answer should be reported to two significant figure.

Explanation of Solution

The given value is $\left(0.0043\right)\left(0.0821\right)\left(298\right)$ . Calculation of this value is as follows:

  $0.0043\times 0.0821\times 298=0.10520294$

0.0043 has two significant figures, 0.0821 has three significant figures and 298 has three significant figures. In calculated value add 1 zero since figure to be dropped is 5. Thus round off the answer to two significant figures. Therefore final answer is 0.11

Conclusion

Answer should be reported to two significant figures.

  $0.0043\times 0.0821\times 298=0.11$