Domanda del libro di testo
Write each of the following in scientific notation with two significant figures:
d. 0.000 25 cm
2030
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Ch.2 Chemistry and Measurements
Timberlake14th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249
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TOC.tableOfContents
- Ch.1 Chemistry in Our Lives19
- Ch.2 Chemistry and Measurements80
- Ch.3 Matter and Energy53
- Ch.4 Atoms and Elements58
- Ch.5 Nuclear Chemistry42
- Ch.6 Ionic and Molecular Compounds57
- Ch.7 Chemical Quantities and Reactions38
- Ch.8 Gases30
- Ch.9 Solutions50
- Ch.10 Acids and Bases and Equilibrium64
- Ch.11 Introduction to Organic Chemistry: Hydrocarbons77
- Ch.12 Alcohols, Thiols, Ethers, Aldehydes, and Ketones82
- Ch.13 Carbohydrates54
- Ch.14 Carboxylic Acids, Esters, Amines, and Amides91
- Ch.15 Lipids61
- Ch.16 Amino Acids, Proteins, and Enzymes84
- Ch.17 Nucleic Acids and Protein Synthesis86
- Ch.18 Metabolic Pathways and ATP Production73
Timberlake14th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 16
Indicate if the zeros are significant in each of the following measurements:
a. 20.05 °C
b. 5.00 m
c. 0.000 02 g
d. 120 000 yr
e. 8.05 × 102 L
Guida verificata passo dopo passo1
Step 1: Understand the rules for determining significant figures. Zeros are significant if they are (a) between nonzero digits, (b) at the end of a number with a decimal point, or (c) in scientific notation as part of the coefficient. Leading zeros (zeros before the first nonzero digit) are not significant, and trailing zeros in a number without a decimal point are ambiguous unless specified.
Step 2: Analyze part (a) 20.05 °C. The zeros are between nonzero digits, so they are significant. This measurement has four significant figures.
Step 3: Analyze part (b) 5.00 m. The zeros are at the end of the number and there is a decimal point, so they are significant. This measurement has three significant figures.
Step 4: Analyze part (c) 0.000 02 g. The leading zeros (zeros before the first nonzero digit) are not significant. Only the '2' is significant, so this measurement has one significant figure.
Step 5: Analyze parts (d) and (e). For (d) 120 000 yr, the trailing zeros are ambiguous because there is no decimal point, so it is unclear how many are significant. For (e) 8.05 x 10² L, the zero is between nonzero digits, so it is significant. This measurement has three significant figures.
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Significant Figures
Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for determining which zeros in a measurement are significant, as they indicate the precision of the measurement.
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Percorso guidato
01:09
Significant Figures (Simplified) Example 2
Leading Zeros
Leading zeros are the zeros that precede all non-zero digits in a number. They are not considered significant because they do not affect the value of the number. For example, in the measurement 0.000 02 g, the leading zeros are not significant, while the '2' is significant.
Video consigliato:
Percorso guidato
04:40Significant Figures (Simplified) Concept 2
Trailing Zeros
Trailing zeros are the zeros that follow non-zero digits in a number. Their significance depends on the presence of a decimal point. In a measurement like 20.05 °C, all zeros are significant, while in a whole number without a decimal, such as 120,000 yr, the trailing zeros may not be significant unless specified otherwise.
Video consigliato:
Percorso guidato
04:40Significant Figures (Simplified) Concept 2
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