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Ch 01: Concepts of Motion
Knight Calc - Physics for Scientists and Engineers 5th Edition
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Not the one you use?Change textbook
All textbooksKnight Calc 5th EditionCh 01: Concepts of MotionProblem 23c
Chapter 1, Problem 23c

How many significant figures are there in each of the following values?
75.0

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1
Identify the rules for determining significant figures: Non-zero digits are always significant, zeros between non-zero digits are significant, and trailing zeros are significant only if there is a decimal point.
Analyze the given value, 75.0. Note that it contains two non-zero digits (7 and 5) and one trailing zero after the decimal point.
Apply the rule for trailing zeros: Since the zero is after the decimal point, it is considered significant.
Count all the significant digits in the number: The digits 7, 5, and the trailing zero are all significant.
Conclude that the number 75.0 has three significant figures.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

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 accurately reporting measurements and calculations in scientific contexts.
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Rules for Counting Significant Figures

There are specific rules for determining the number of significant figures in a value. For example, all non-zero digits are significant, leading zeros are not significant, and trailing zeros in a decimal number are significant. Knowing these rules helps in identifying how precise a measurement is.
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Rounding and Precision

Rounding is the process of adjusting the digits in a number to reflect a certain level of precision, often determined by the number of significant figures. When performing calculations, it is important to maintain the correct number of significant figures to ensure that the final result accurately represents the precision of the measurements involved.
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