Chapter 5, Problem 29A

Interpretation Introduction

Interpretation: The following sentence needs to be filled.

The quotient $\frac{\left(2.3733\times {10}^2\right)}{\left(343\right)}$ should be written with _________ significant figures.

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 29A

The quotient $\frac{\left(2.3733\times {10}^2\right)}{\left(343\right)}$ should be written with three significant figures.

Explanation of Solution

In final result number of significant figures is the same as that in the measurement with smallest number of significant figures.

The given value is $\frac{\left(2.3733\times {10}^2\right)}{\left(343\right)}$ . Calculation of this value is as follows:

  $\frac{\left(2.3733\times {10}^2\right)}{\left(343\right)}=0.691924198$

343 has two significant figures. Thus round off the answer to three significant figures. Therefore final answer is 0.692

Conclusion

Answer should be reported to three significant figures.

  $\frac{\left(2.3733\times {10}^2\right)}{\left(343\right)}=0.691924198$