How many significant figures
are in this number?
43.55
The Correct Answer and Explanation is :
The number 43.55 contains four significant figures. Understanding significant figures is essential in scientific and mathematical contexts, as it indicates the precision of a measurement.
Explanation of Significant Figures:
- Definition of Significant Figures: Significant figures (or significant digits) 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 only when there is a decimal point.
- Identifying Significant Figures:
- Non-Zero Digits: All non-zero digits (1-9) are considered significant. In the number 43.55, both 4 and 3 are non-zero, contributing to the significant figures.
- Zeros:
- Leading Zeros: Zeros before the first non-zero digit are not significant. For example, in 0.0043, the zeros are not counted.
- Captive Zeros: Zeros between non-zero digits are significant. For example, in 1002, the zero is significant.
- Trailing Zeros: Zeros at the end of a number are significant only if there is a decimal point. For example, 100.0 has four significant figures, while 100 has one.
- Application to 43.55:
- The digits in 43.55 are 4, 3, 5, and 5.
- All these digits are non-zero; thus, they are all counted as significant figures.
- Importance of Significant Figures:
- Significant figures convey the certainty of a measurement. When performing calculations, such as addition or multiplication, the result should be expressed with the appropriate number of significant figures, based on the least precise measurement involved in the calculation.
In summary, the number 43.55 has four significant figures because all its digits are non-zero and contribute to its overall precision. Understanding significant figures is crucial in maintaining the integrity of data and results in scientific disciplines.