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.

Sixty miles/hour is about how many meters/second?
a. 96
b. 112
c. 1.6
d. 27
e. 37
How many significantfigures are in 0.0037010?
I think their are seven significantfigures is that correct?

1. At 8:00 a.m., a patient receives a 58-mg dose of I -131 to obtain an image of her thyroid. If the nuclide has a half-life of 8 days, what mass of the nuclide remains in the patient at 5:00 p.m. the next day? (Assume no excretion of the nuclide from the body).
Express your answer using two significantfigures.
2. A radioac

1. A fisherman catches two striped bass. The smaller of the two has a measured length of 93.46 cm(two decimal places, four significantfigures), and the larger fish has a measured length of 135.3cm (one decimal place, four significantfigures). What is the total length of fish caught for the day?
2. How many significant figu

I am trying to figure out the proper answer in significantfigures for this, I'm not sure which rule I follow, the addition/subtraction rule or the multiplication/division rule?
320.5 - (6104.5 / 2.3)
I'm wondering if the answer should be -2333.6 or -2379.5?
Could you please show work?
Thank you!

Could someone just check our figures? We were confused on using the average inventory for the inventory conversion period. All we had was a value for inventories.

1) How many significantfigures are there in the answer to the following problem? (8.881*.02100) + .590? 2) A parsec is 206,265 times the distance from earth to the sun. If the distance is 8.000 million miles, express the distance of a parsec in miles in scientific notation.

Please see the attached file for the fully formatted problem(s).
1. Percent Concentration as a Conversion Factor
How many grams (m) of glucose are in 265 mL of a 5.50% (m/v) glucose solution?
Express your answer numerically in grams.
Part C
You have a solution that is 18.5% (v/v) methyl alcohol. If the bottle contain

Explain working "lack of units and inappropriate precision"
Please present an alternative version which demonstrates the use of mathematical skills
Mass of methane held within container = 0.00734kg
Internal volume of the container = 0.011 m3
0.00734
--------
0.011 = 0.667272727 ?????
When permafrost melts it r

A) Provide the type of measurement (volume, length, temperature etc.) for the following units:
i) 298 K
ii) 65 mL
iii) 15 m
iv) 290 kg
v) 50 g
b) Write the following measurements in scientific notation:
i) 150000000 kg
ii) 0.28 L
iii) 0.00004 m
c) Answer wheth