**Multiplicative and Divisional Measurements with Significant Figures****Instructions:** Multiply or divide the following measurements. Ensure each answer you enter contains the correct number of significant digits.1. **Calculate:** \[ 78.08 \, \text{cm} \times 38 \, \text{cm} = 3.0 \times 10^3 \, \text{cm}^2 \]2. **Calculate:** \[ 20.9476 \, \frac{\text{mol}}{\text{L}} \times 47 \, \text{L} = \, \text{[Enter Result]} \, \text{mol} \]3. **Calculate:** \[ 451.5 \, \text{m} \div 51.4 \, \text{s} = \, \text{[Enter Result]} \, \frac{\text{m}}{\text{s}} \]**Instructional Note:** The proper handling of significant figures is crucial in scientific calculations to maintain precision and accuracy. Ensure each result is presented with the correct significant digits by following standard rules such as rounding and using the least number of significant digits from the initial measurements in the calculations.

Answered: Multiply or divide the following…

Introductory Chemistry: A Foundation

9th Edition

ISBN:9781337399425

Author:Steven S. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Donald J. DeCoste

Chapter3: Matter

Section: Chapter Questions

Problem 7CR

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**Multiplicative and Divisional Measurements with Significant Figures**

**Instructions:** Multiply or divide the following measurements. Ensure each answer you enter contains the correct number of significant digits.

1. **Calculate:**

\[
78.08 \, \text{cm} \times 38 \, \text{cm} = 3.0 \times 10^3 \, \text{cm}^2
\]

2. **Calculate:**

\[
20.9476 \, \frac{\text{mol}}{\text{L}} \times 47 \, \text{L} = \, \text{[Enter Result]} \, \text{mol}
\]

3. **Calculate:**

\[
451.5 \, \text{m} \div 51.4 \, \text{s} = \, \text{[Enter Result]} \, \frac{\text{m}}{\text{s}}
\]

**Instructional Note:** The proper handling of significant figures is crucial in scientific calculations to maintain precision and accuracy. Ensure each result is presented with the correct significant digits by following standard rules such as rounding and using the least number of significant digits from the initial measurements in the calculations.

Expert Solution

Step 1: Rules to determine t nihe correct no. Of significant figures in answers

Rules for determining the correct no. Of significant figures in answers:

Rule 1. The result of an addition or subtraction should be reported to the same number of decimal places as that of the term with least number of decimal places.

Rule 2. The result of a multiplication or division should be reported to the same number of significant figures as is possessed by the least precise term used in the calculation.

Rule 3. If a calculation involves a number of steps, the result should contain the same number of significant figures as that of the least precise number involved, other than the exact numbers.

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