How many significant figures are in each number? d. 4,100 km

Verified step by step guidance

1. Identify the given number: 4,100 km.
2. Determine if there is a decimal point present. In this case, there is no decimal point.
3. Recognize that without a decimal point, trailing zeros are not considered significant.
4. Count the significant figures: The digits '4' and '1' are significant.
5. Conclude that the number 4,100 km has 2 significant figures.

Key Concepts

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.

Trailing Zeros

Trailing zeros are the zeros at the end of a number. Their significance depends on the presence of a decimal point. For example, in the number 4,100, the trailing zeros are ambiguous without additional context, as they may or may not indicate precision. Clarifying whether a decimal point is present helps determine if these zeros are significant.

Contextual Clarity

Contextual clarity refers to the importance of understanding the context in which a number is presented to determine its significant figures. In scientific notation or when a decimal point is included, the significance of trailing zeros can be clearly defined. This understanding is essential for interpreting measurements accurately in chemistry.