Indicate the number of significant figures in each of the following measured quantities: (e) 89.2 metr ic tons

Verified step by step guidance

1. Identify the digits in the number 89.2.
2. Determine which of these digits are significant figures.
3. Recall that all non-zero digits are considered significant.
4. Note that any zeros between significant figures are also significant.
5. Conclude that the number 89.2 has three 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 ensuring that calculations reflect the precision of the data.

Rules for Counting Significant Figures

There are specific rules for determining the number of significant figures in a measurement. For example, all non-zero digits are significant, leading zeros are not significant, and trailing zeros in a decimal number are significant. Applying these rules helps in identifying how precise a measurement is and in maintaining that precision in calculations.

Measurement Precision

Measurement precision refers to the degree of reproducibility or consistency of a set of measurements. It is often indicated by the number of significant figures in a measurement. A higher number of significant figures suggests greater precision, which is important in scientific contexts where accurate data is essential for analysis and conclusions.