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Ch. 01 - Introduction, Measurement, Estimating
Giancoli Douglas - Physics for Scientists and Engineers 5th edition
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179당신이 사용하는 게 아니라요?교과서 변경
1장, 문제 1e

How many significant figures does the following number have? 0.0086

검증된 단계별 안내
1
Identify the rules for determining significant figures: Non-zero digits are always significant, zeros between non-zero digits are significant, and leading zeros (zeros before the first non-zero digit) are not significant.
Analyze the given number, 0.0086. Notice that the leading zeros (0.00) are not significant because they only serve as placeholders to position the decimal point.
Focus on the non-zero digits and any zeros that are between them or follow them. In this case, the digits '8' and '6' are non-zero and therefore significant.
Conclude that the number 0.0086 has two significant figures, as only the digits '8' and '6' contribute to the precision of the number.
Remember that significant figures are important in scientific measurements to reflect the precision of the data being reported.

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주요 개념

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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 accurately reporting measurements and calculations in scientific contexts.
추천 영상:
가이드 코스
04:44
Counting Significant Figures

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 number 0.0086, the leading zeros (0.00) do not count towards the significant figures.
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가이드 코스
07:03
Charges In A Line (Find Zero Force)

Counting Significant Figures

To determine the number of significant figures in a number, one must identify all non-zero digits and any zeros that are between them or follow a decimal point. In the case of 0.0086, the significant figures are '8' and '6', resulting in a total of two significant figures.
추천 영상:
가이드 코스
04:44
Counting Significant Figures