Question
Asked Dec 4, 2019
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5. Write the result of each of the following operations to the correct number of significant figures. Show
your work for each:
a) the quotient of 12.987 g divided by 20.0 cm3.
b) the volume of a room of length 23.4 m, width 5.487 m and height 2.5 m.
c) the miles per gallon obtained from a car that travels 496 miles and in the process uses 24.6
gallons of gas.
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5. Write the result of each of the following operations to the correct number of significant figures. Show your work for each: a) the quotient of 12.987 g divided by 20.0 cm3. b) the volume of a room of length 23.4 m, width 5.487 m and height 2.5 m. c) the miles per gallon obtained from a car that travels 496 miles and in the process uses 24.6 gallons of gas.

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Expert Answer

Step 1

Rule for significant digits: The significant number of answer in division is determined by the number having the smallest number of significant figures.

Option (a): As per the rule mentioned above,

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5 significant fig 12.987 = 0.64935 0.649 (3 significant fig) Given 20.0 3significant fig

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Step 2

Option (b): In multiplication, the final answer is limited to the number of digits contai...

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Volume (length) (width) (height) (3 significant fig(4significant fig(2 significant fig 23.4 5.487 2.5 320.9895 m3 = 320 m2 (2 sign fig)

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