**Title: Multiplying and Dividing Measurements with Significant Figures**When performing calculations with measurements, it is crucial to maintain the correct number of significant digits in your results. This guide provides examples of how to multiply and divide measurements while ensuring the correct number of significant figures. ### Example Problems:#### Problem 1: Multiplying Lengths```20.9 cm × 12. cm = _______ cm²```- Multiply the given measurements, ensuring the product has the correct number of significant figures based on the inputs.#### Problem 2: Dividing Moles and Liters```641.8 mol ÷ 59.25 L = _______ mol/L```- Divide the values and express the result with the appropriate number of significant digits.#### Problem 3: Multiplying Lengths```20.9 cm × 23. cm = _______ cm²```- Multiply the measurements, maintaining significant figures in the final answer.### Tools:The image includes a small interface with buttons for redoing the calculations or clearing the current inputs. By following these steps and using the correct number of significant figures, you can ensure that your calculated results maintain accuracy and precision as per scientific standards.

Answered: Image /qna-images/answer/d4e843af-1e4b-4444-aa11-0203edc58c68.jpg

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 20.9 cm X 12. cm = 641.8 mol 59.25 L = 20.9 cm x 23. cm = 2 cm² mol L D cr cm 2 ☐ x10 X

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 20.9 cm X 12. cm = 641.8 mol 59.25 L = 20.9 cm x 23. cm = 2 cm² mol L D cr cm 2 ☐ x10 X

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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Concept explainers

Matter and Measurement

In the universe, there is matter, energy, and void space. The universe contains energy and void space. The definition of matter can be considered as something which possesses mass and consumes space. Chemistry is that branch of science which deals with the study of matter. Under chemistry, nature, composition, and the changes occurring to matter are discussed.

Question

**Title: Multiplying and Dividing Measurements with Significant Figures**

When performing calculations with measurements, it is crucial to maintain the correct number of significant digits in your results. This guide provides examples of how to multiply and divide measurements while ensuring the correct number of significant figures.

### Example Problems:

#### Problem 1: Multiplying Lengths
```
20.9 cm × 12. cm = _______ cm²
```
- Multiply the given measurements, ensuring the product has the correct number of significant figures based on the inputs.

#### Problem 2: Dividing Moles and Liters
```
641.8 mol ÷ 59.25 L = _______ mol/L
```
- Divide the values and express the result with the appropriate number of significant digits.

#### Problem 3: Multiplying Lengths
```
20.9 cm × 23. cm = _______ cm²
```
- Multiply the measurements, maintaining significant figures in the final answer.

### Tools:
The image includes a small interface with buttons for redoing the calculations or clearing the current inputs.

By following these steps and using the correct number of significant figures, you can ensure that your calculated results maintain accuracy and precision as per scientific standards.

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