Skip to main content
Ch. 01 - Introduction, Measurement, Estimating
Giancoli Douglas - Physics for Scientists and Engineers 5th edition
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179Not the one you use?Change textbook
Chapter 1, Problem 1e

How many significant figures does the following number have? 0.0086

Verified step by step guidance
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.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.
Was this helpful?

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.
Recommended video:
Guided course
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.
Recommended video:
Guided course
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.
Recommended video:
Guided course
04:44
Counting Significant Figures