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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?

    © BrainMass Inc. brainmass.com December 24, 2021, 11:29 pm ad1c9bdddf
    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.
    1.2×104s = 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 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
    169.080mL−21.0mL = 148.1
    1.14L−0.630L = 0.51

    5. Perform each of the following calculations and give answers with the correct number of significant figures:
    300×190 = 5.70 x 10^4
    2.80/(4)(135) = 5 x 10^(-3)
    0.819×3.4×5.7 = 16
    5.3×0.252/5.86×30.0 = 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.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 11:29 pm ad1c9bdddf>
    https://brainmass.com/chemistry/atomic-and-molecular-structure/chemistry-unit-conversion-significant-figures-573299

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