# 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?

https://brainmass.com/chemistry/atomic-and-molecular-structure/chemistry-unit-conversion-significant-figures-573299

#### 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.