Textbook Question
Use the prefix multipliers to express each measurement without exponents. c. 1.5 * 109 g
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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 8
Indicate the number of significant figures in each number. If the number is an exact number, indicate an unlimited number of significant figures. a. 318,857,056 (2014 U.S. population) b. 2.54 cm = 1 in. c. 11.4 g/cm³ (density of lead) d. 12 = 1 dozen.
Verified step by step guidance1
Step 1: Identify the number of significant figures in the number 318,857,056. Since this is a measured value (2014 U.S. population), count all the digits as significant. There are no leading or trailing zeros to consider.
Step 2: Examine the conversion factor 2.54 cm = 1 in. This is a defined relationship between centimeters and inches, making it an exact number. Therefore, it has an unlimited number of significant figures.
Step 3: Look at the number 11.4 g/cm³, which represents the density of lead. This is a measured value, so count all the digits. The number has three significant figures.
Step 4: Consider the number 12 = 1 dozen. This is a defined quantity, meaning it is an exact number. Therefore, it has an unlimited number of significant figures.
Step 5: Summarize the findings: a. 318,857,056 has 9 significant figures, b. 2.54 cm = 1 in. has unlimited significant figures, c. 11.4 g/cm³ has 3 significant figures, d. 12 = 1 dozen has unlimited significant figures.
Related Practice
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Express the quantity 254,998 m in each unit. a. km b. Mm c. mm d. cm
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Open Question
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Open Question
Calculate the density of a liquid in g/mL to the correct number of significant digits, if a flask containing 9.55 mL of the liquid weighs 157.2 g with the liquid and 148.4 g when empty.
Textbook Question
Classify each statement as an observation, a law, or a theory. a. All matter is made of tiny, indestructible particles called atoms. b. When iron rusts in a closed container, the mass of the container and its contents does not change. c. In chemical reactions, matter is neither created nor destroyed. d. When a match burns, heat is released
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Textbook Question
Classify each statement as an observation, a law, or a theory. a. Chlorine is a highly reactive gas. b. If elements are listed in order of increasing mass of their atoms, their chemical reactivities follow a repeating pattern. c. Neon is an inert (or nonreactive) gas. d. The reactivity of elements depends on the arrangement of their electrons.
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