### Exercise: Significant Figures in Calculations**Instructions:** Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits.1. **Calculate the density:** \[ \frac{400.6 \, \text{g}}{44.80 \, \text{mL}} = \_\_\_\_\_\_\frac{\text{g}}{\text{mL}} \]2. **Calculate the amount of substance:** \[ 2.09476 \, \frac{\text{mol}}{\text{L}} \times 4.30 \, \text{L} = \_\_\_\_\_\_\text{mol} \]3. **Calculate the speed:** \[ \frac{869.8 \, \text{m}}{0.29 \, \text{s}} = \_\_\_\_\_\_\frac{\text{m}}{\text{s}} \]**Interactive Buttons:**- An **exponent button** to indicate powers of ten.- A **multiply** or **divide** button.- A **reset** button to clear entries and start again.Click "Explanation" for a detailed walkthrough of how to calculate each value with the correct significant figures. Press "Check" to verify your answers.

Answered: Multiply or divide the following…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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### Exercise: Significant Figures in Calculations

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

1. **Calculate the density:**
\[
\frac{400.6 \, \text{g}}{44.80 \, \text{mL}} = \_\_\_\_\_\_\frac{\text{g}}{\text{mL}}
\]

2. **Calculate the amount of substance:**
\[
2.09476 \, \frac{\text{mol}}{\text{L}} \times 4.30 \, \text{L} = \_\_\_\_\_\_\text{mol}
\]

3. **Calculate the speed:**
\[
\frac{869.8 \, \text{m}}{0.29 \, \text{s}} = \_\_\_\_\_\_\frac{\text{m}}{\text{s}}
\]

**Interactive Buttons:**
- An **exponent button** to indicate powers of ten.
- A **multiply** or **divide** button.
- A **reset** button to clear entries and start again.

Click "Explanation" for a detailed walkthrough of how to calculate each value with the correct significant figures. Press "Check" to verify your answers.

Expert Solution

Step 1: Significant figure

The significant figure refers to particular digits in a number. According to the measurement rule, only those figures of a numerical quantity that are the result of actual measurement are said to be significant figures.

In the final result of multiplication and division, the number of significant figures must be equal to the minimum significant figures in the starting numbers. For addition and subtraction, the final answer should be rounded off to the minimum number of decimal places.

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