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Chemistry: Unit Conversion and Significant Figures

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?

Solution Preview

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 ...

Solution Summary

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

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