Chapter 02

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12/11/23, 11:59 PM Chapter 02 Assignment https://session.masteringchemistry.com/myct/assignmentPrintView?assignmentID=11885474 1/24 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)
12/11/23, 11:59 PM Chapter 02 Assignment https://session.masteringchemistry.com/myct/assignmentPrintView?assignmentID=11885474 2/24 Correct 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 Reset 2 distance density volume temperature mass volume distance mass temperature distance mass
12/11/23, 11:59 PM Chapter 02 Assignment https://session.masteringchemistry.com/myct/assignmentPrintView?assignmentID=11885474 3/24 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.
12/11/23, 11:59 PM Chapter 02 Assignment https://session.masteringchemistry.com/myct/assignmentPrintView?assignmentID=11885474 4/24 Correct 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
12/11/23, 11:59 PM Chapter 02 Assignment https://session.masteringchemistry.com/myct/assignmentPrintView?assignmentID=11885474 5/24 Correct 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 Reset exact exact measured exact exact measured measured measured measured measured
12/11/23, 11:59 PM Chapter 02 Assignment https://session.masteringchemistry.com/myct/assignmentPrintView?assignmentID=11885474 6/24 Correct 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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