When you perform mathematical calculations, the result of your calculations can never be more pre- dse than the least precise measurement. Add the following quantities: 44.1 kg + 8.002 kg + 0.93 kg- 53.032. The least precise measurement, 44.1 kg, is precise only to the nearest one-tenth. The sum of the masses, therefore, must be rounded off to the nearest one-tenth. So, the answer is 53.0 kg 11. Complete these addition problems. Write the sum as a least precise measurement. a 3.414 s+ 10.02 s+ 58.325 s+ 0.000 98 s b. 1884 kg + 0.94 kg+ 1.0 kg + 9.778 kg

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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When you perform mathematical calculations, the result of your calculations can never be more pre-
cise than the least precise measurement. Add the following quantities: 44.1 kg + 8.002 kg + 0.93 kg -
53.032. The least precise measurement, 44.1 kg, is precise only to the nearest one-tenth. The sum of the
masses, therefore, must be rounded off to the nearest one-tenth. So, the answer is 53.0 kg.
11. Complete these addition problems. Write the sum as a least precise measurement.
a. 3.414 s+ 10.02 s + 58.325 s + 0.000 98 s
b. 1884 kg + 0.94 kg + 1.0 kg + 9.778 kg
12. Complete these subtraction problems. Write the difference as a least precise measurement.
a. 2104.1 m - 463.09 m
h. 2.326 h -0 104 08 h
PHYS 121 (Lecture on Advanced Laboratory)
Worksheet 2.2
Multiplying and dividing are a little different. In these kinds of calculations, the product or quotient
has the same number of significant digits as the least precise number. If you multiply 21.3 cm by
9.80 cm, the answer is 209, not 208.74. Because the less precise measurement, 21.3 cm, has only three
significant digits, the product has three significant digits.
13. Complete these multiplication problems. Write the product as a least precise measurement.
a. 10.19 m X 0.013 m
b. 140.01 cm x 26.042 cm × 0.0159 cm
14. Complete these division problems. Write the quotient as a least precise measurement.
a. 80.23 m + 2.4s
b. 4.301 kg + 1.9 cm
Averages follow the same rule. Suppose a car travels around a track three times. Your measurements for
the three trials are 45.0 km/h, 48.21 km/h, and 47.024 km/h. Determine the average speed of the car.
45.0 + 48.21 + 47.024 = 140.234
140.234 + 3 - 46.744 66
Because the least precise measurement is 45.0 km/h, the answer can be precise only to the nearest
one-tenth. Thus the correct answer, rounded off, is 46.7 km/h. Answer the following questions.
15. An experiment calls for 16.156 g of substance A, 28.2 g of substance B, 0.0058 g of substance C,
and 9.44 g of substance D.
a. How many significant digits are there in each measurement?
- C. D.
A.
В.
b. What is the total mass of substances in this experiment?
C. How many significant digits are there in the answer to part b?
16. Your lab partner has measured 16.50 mlL of water. You accidentally tip over the graduated cylinder
and spill some of the water. You stand the cylinder up and determine that there are R0 ml. of
water left.
a. Which measurement is more precise, your lab partner's or yours? Explain.
b. How much water did you lose when you tipped over the graduated cylinder?
Transcribed Image Text:When you perform mathematical calculations, the result of your calculations can never be more pre- cise than the least precise measurement. Add the following quantities: 44.1 kg + 8.002 kg + 0.93 kg - 53.032. The least precise measurement, 44.1 kg, is precise only to the nearest one-tenth. The sum of the masses, therefore, must be rounded off to the nearest one-tenth. So, the answer is 53.0 kg. 11. Complete these addition problems. Write the sum as a least precise measurement. a. 3.414 s+ 10.02 s + 58.325 s + 0.000 98 s b. 1884 kg + 0.94 kg + 1.0 kg + 9.778 kg 12. Complete these subtraction problems. Write the difference as a least precise measurement. a. 2104.1 m - 463.09 m h. 2.326 h -0 104 08 h PHYS 121 (Lecture on Advanced Laboratory) Worksheet 2.2 Multiplying and dividing are a little different. In these kinds of calculations, the product or quotient has the same number of significant digits as the least precise number. If you multiply 21.3 cm by 9.80 cm, the answer is 209, not 208.74. Because the less precise measurement, 21.3 cm, has only three significant digits, the product has three significant digits. 13. Complete these multiplication problems. Write the product as a least precise measurement. a. 10.19 m X 0.013 m b. 140.01 cm x 26.042 cm × 0.0159 cm 14. Complete these division problems. Write the quotient as a least precise measurement. a. 80.23 m + 2.4s b. 4.301 kg + 1.9 cm Averages follow the same rule. Suppose a car travels around a track three times. Your measurements for the three trials are 45.0 km/h, 48.21 km/h, and 47.024 km/h. Determine the average speed of the car. 45.0 + 48.21 + 47.024 = 140.234 140.234 + 3 - 46.744 66 Because the least precise measurement is 45.0 km/h, the answer can be precise only to the nearest one-tenth. Thus the correct answer, rounded off, is 46.7 km/h. Answer the following questions. 15. An experiment calls for 16.156 g of substance A, 28.2 g of substance B, 0.0058 g of substance C, and 9.44 g of substance D. a. How many significant digits are there in each measurement? - C. D. A. В. b. What is the total mass of substances in this experiment? C. How many significant digits are there in the answer to part b? 16. Your lab partner has measured 16.50 mlL of water. You accidentally tip over the graduated cylinder and spill some of the water. You stand the cylinder up and determine that there are R0 ml. of water left. a. Which measurement is more precise, your lab partner's or yours? Explain. b. How much water did you lose when you tipped over the graduated cylinder?
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