Chapter 02
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Chapter 02 Assignment
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Chapter 02 Assignment
Due: 12:00am on Tuesday, December 12, 2023
You will receive no credit for items you complete after the assignment is due. Grading Policy
Chapter 2 Reading Question 1
Part A
Which of the following is a unit of measurement for mass? Hint 1. What are some of the possible units to measure mass?
In science and the health professions, mass is typically measured using the metric system. See Section 2.1.
ANSWER:
Correct
Chapter 2 Question 1-6 Matching
Part A
Match the type of measurement to the unit given below.
Drag the appropriate labels to their respective targets.
ANSWER:
centimeters (cm) milliliters (mL) Kelvin kilograms (kg)
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Chapter 02 Assignment
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Core Chemistry Skill: Counting Significant Figures
When we report a measurement in science, we are careful to report only digits known with certainty, plus a final digit that is recognized to be uncertain. It is
important to know how to count significant figures correctly, including in numbers containing zeros.
Number
Significant figures
Explanation
23.56
4
All nonzero digits are significant.
23.560
5
Trailing zeros are significant when a decimal point is shown.
1000
1
Trailing zeros are not considered significant when no decimal point is shown.
1000.
4
Showing the decimal point indicates that the preceding zeros are significant.
500.01
5
Zeros between nonzero digits are significant.
0.0078
2
Leading zeros are not significant.
Part A
Determine the number of significant figures in the measurement 6.07 .
Express your answer numerically as an integer.
Hint 1. How many nonzero digits are in the number?
How many nonzero
digits are in the measurement 6.07 ?
Express your answer numerically as an integer.
ANSWER:
Hint 2. Classify the zero
Help
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2
distance
density
volume
temperature
mass
volume
distance
mass
temperature
distance
mass
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Chapter 02 Assignment
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What is the rule regarding zeros found in between two nonzero digits?
ANSWER:
ANSWER:
Correct
Part B
Determine the number of significant figures in the measurement 0.0030 .
Express your answer numerically as an integer.
Hint 1. How many nonzero digits are in the number?
How many nonzero
digits are in the measurement 0.0030 ?
Express your answer numerically as an integer.
ANSWER:
Hint 2. Classify the leading zeros
What is the rule regarding zeros at the beginning of a number?
ANSWER:
Hint 3. Classify the trailing zeros
What is the rule regarding zeros at the end of a number?
ANSWER:
ANSWER:
They are always significant.
They are never significant.
They are significant if to the right of the decimal.
They are significant if to the left of the decimal.
3
1
They are always significant.
They are never significant.
They are significant if to the left of the decimal.
They are significant if to the right of the decimal.
They are always significant.
They are never significant.
They are significant only if there is a decimal point shown in the number.
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Chapter 02 Assignment
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Leading zeros are not significant. Trailing zeros are significant if there is a decimal point shown in the number.
Part C
Round the value 44.981 to three significant figures.
Express your answer numerically using three significant figures.
Hint 1. How to perform rounding
Imagine that you want to round the value 0.08206 to three significant figures.
First, identify which digits should be dropped to leave just three significant figures: 0.0820
6. Next, look at the first digit to be dropped, in this case 6.
Because this digit is 5 or greater, we round the previous digit up, giving us 0.0821.
Hence the number 0.08206 is closer to 0.0821 than it is to 0.0820.
Hint 2. Identify the digits to be dropped
When rounding 44.981 to three significant figures, which digits should be dropped?
Choose the option that has the dropped digits underlined.
ANSWER:
ANSWER:
Correct
The number 44.981 is closer to 45.0 than it is to 44.9.
Chapter 2 Reading Question 2
Part A
How many significant figures are in 73,040? Hint 1. Determining the number of significant figures. See Table 2.2.
All numbers between 1 and 9 are significant. Zeros may or may not be significant. See Section 2.2.
ANSWER:
2
44.98
1
44.9
81
44.
981
4
4.981
45.0
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Chapter 2 Question 7-14 Matching
Part A
Are the numbers in each of the following statements measured or exact?
Drag the appropriate labels to their respective targets.
ANSWER:
Correct
Chapter 2 Question 11 - Multiple Choice
Part A
Significant figures are important because they indicate
ANSWER:
2 5 4 3 Help
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exact
exact
measured
exact
exact
measured
measured
measured
measured
measured
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Significant Figures in Calculations
Learning Goal:
To learn how to round an answer to the correct number of significant figures.
When we report a measurement in science, we are careful to report only digits known with certainty, plus a final digit that is recognized to be uncertain. We call this
set of digits significant figures
. Often, these numbers are used in calculations. When we use a calculator, the calculator does not automatically account for
significant figures, so we have to do so ourselves. There are some basic rules for handling significant figures in calculations, as shown in the table below and
outlined to the right.
Significant Figures in Calculations
MULTIPLICATION
DIVISION
4 s.f.
2 s.f.
2 s.f.
4 s.f.
2 s.f.
2 s.f.
ADDITION
SUBTRACTION
1 d.p.
0 d.p.
0 d.p.
1 d.p.
0 d.p.
0 d.p.
note:
s.f. stands for "significant figures"
d.p. stands for "digits to the right of the decimal point"
Multiplication and division
When multiplying or dividing, the final answer is rounded to the same number of significant figures as the measured number with the fewest significant figures.
Addition and subtraction
When adding or subtracting, the final answer is rounded to the same number of digits to the right of the decimal point as the measured number with the fewest
digits to the right of the decimal point.
Part A
Compute 3.5 4.48697. Round the answer appropriately.
Express your answer numerically using the proper number of significant figures.
Hint 1. How to approach the problem
For multiplication or division, the final answer should be rounded to the same number of significant figures as the given value with the fewest significant
figures.
Hint 2. Determine the number of significant figures in the final answer
How many significant figures should be shown in the final answer after rounding?
Express the number of significant figures as an integer.
ANSWER:
the number of digits on a calculator.
the number of measurements.
the accuracy of the conversion factor.
the precision of a measurement.
the accuracy of a measurement.
2
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