Deciphering the Precision- Determining the Number of Significant Figures in the Number 956
How many significant figures do the following numbers have: 956? This question is fundamental in understanding the concept of significant figures, which is a critical aspect of scientific notation and numerical precision. In this article, we will delve into the definition of significant figures and determine the number of significant figures in the given number, 956.
Significant figures, also known as significant digits, are the digits in a number that carry meaning in terms of precision. They include all non-zero digits and any zeros between non-zero digits. For instance, in the number 123.45, there are five significant figures: 1, 2, 3, 4, and 5. The presence of zeros in this case indicates their significance.
To determine the number of significant figures in 956, we must follow a set of rules:
1. Non-zero digits are always significant. In 956, all three digits (9, 5, and 6) are non-zero, so they are all significant.
2. Zeros between non-zero digits are also significant. In this case, there are no zeros between the non-zero digits of 956.
3. Leading zeros (zeros at the beginning of a number) are not significant. However, in 956, there are no leading zeros.
4. Trailing zeros (zeros at the end of a number) are significant if they are after a decimal point. Since 956 does not contain a decimal point, its trailing zeros are not significant.
Based on these rules, we can conclude that the number 956 has three significant figures: 9, 5, and 6. Understanding the concept of significant figures is crucial in scientific research, as it helps to convey the precision and accuracy of measurements and calculations. By being aware of the number of significant figures in a given number, scientists and engineers can ensure that their data is communicated effectively and accurately.
