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Chemistry: Unit Conversion and Significant Figures

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1. Write each of the following as standard numbers.
1.2×104s
8.25×10−2kg
4×106g
5×10−3m

2. How many significant figures are in each of the following measurements?
20.60 L
200.66 g
4.00 m
18.4 ∘C
780 060 000 g

3. Round off each of the following measurements to three significant figures.
1.854 kg
163.4476 L
0.004 738 265 cm
7996 m

4. Perform each of the following calculations, and give answers with the correct number of decimal places:
41.74cm + 4.893cm
23.90g + 104.4g+0.015g
169.080mL− 21.0mL
1.14L− 0.630L

5. Perform each of the following calculations and give answers with the correct number of significant figures:
300×190
2.80/(4)(135)
0.819×3.4×5.7
5.3×0.252/5.86×30.0

6. Use metric conversion factors to solve the following problems.
- The height of a student is 173 cm. How tall is the student in meters?
- A cooler has a volume of 5500 mL . What is the capacity of the cooler in liters?
- A hummingbird has a mass of 0.0059 kg . What is the mass of the hummingbird in grams?

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Solution Summary

This solution illustrates how to solve for various chemistry problems based on either unit conversions or significant figures.

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1. Write each of the following as standard numbers.
1.2×104s = 12000
8.25×10−2kg = 0.0825
4×106g = 4000000
5×10−3m = 0.005

2. How many significant figures are in each of the following measurements?
20.60 L = 4
200.66 g = 5
4.00 m = 3
18.4 ∘C = 3
780 060 000 g = 4 (zeros at the end are not significant in whole numbers)

3. Round ...

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