# Chemistry: Unit Conversion and Significant Figures

1. Write each of the following as standard numbers.

1.2Ã—104s

8.25Ã—10âˆ’2kg

4Ã—106g

5Ã—10âˆ’3m

2. How many significant figures are in each of the following measurements?

20.60 L

200.66 g

4.00 m

18.4 âˆ˜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

169.080mLâˆ’ 21.0mL

1.14Lâˆ’ 0.630L

5. Perform each of the following calculations and give answers with the correct number of significant figures:

300Ã—190

2.80/(4)(135)

0.819Ã—3.4Ã—5.7

5.3Ã—0.252/5.86Ã—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 This solution is **FREE** courtesy of BrainMass!

1. Write each of the following as standard numbers.

1.2Ã—104s = 12000

8.25Ã—10âˆ’2kg = 0.0825

4Ã—106g = 4000000

5Ã—10âˆ’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 âˆ˜C = 3

780 060 000 g = 4 (zeros at the end are not significant in whole numbers)

3. Round off each of the following measurements to three significant figures.

1.854kg = 1.85

163.4476L = 163

0.004 738 265 cm = 0.00474

7996m = 7.80 x 10^3

4. Perform each of the following calculations, and give answers with the correct number of decimal places:

41.74cm+4.893cm = 46.63

23.90g+104.4g+0.015g = 128.3

169.080mLâˆ’21.0mL = 148.1

1.14Lâˆ’0.630L = 0.51

5. Perform each of the following calculations and give answers with the correct number of significant figures:

300Ã—190 = 5.70 x 10^4

2.80/(4)(135) = 5 x 10^(-3)

0.819Ã—3.4Ã—5.7 = 16

5.3Ã—0.252/5.86Ã—30.0 = 7.6 x 10^(-3)

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? = 173 cm x (1m / 100 cm) = 1.73 m

- A cooler has a volume of 5500mL . What is the capacity of the cooler in liters? = 5500 mL x (1L / 1000 mL) = 5.500 L

- A hummingbird has a mass of 0.0059kg . What is the mass of the hummingbird in grams? = 0.0059 kg x (1000 g / 1 kg) = 59 g

Hope that this helps.

Thanks for using BrainMass.

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