Decoding the Precision- Determining Significant Figures in the Number 1278.50

How many significant figures are in 1278.50?

In the number 1278.50, there are a total of six significant figures. Significant figures, also known as significant digits, are the digits in a number that carry meaning in terms of precision. They include all the non-zero digits and any zeros between non-zero digits or after the decimal point. Let’s break down the number 1278.50 to understand its significant figures.

Firstly, the digits 1, 2, 7, and 8 are all non-zero and, therefore, are considered significant figures. These digits indicate the value of the number and provide information about its magnitude. Next, the decimal point itself does not count as a significant figure; it merely separates the whole number part from the fractional part.

Then, the digit 5 after the decimal point is also a significant figure. It is a non-zero digit that is after the decimal point, so it carries meaning in terms of precision. Lastly, the zero after the decimal point is also a significant figure. This zero is significant because it is after the decimal point and provides information about the place value of the digit 5.

Therefore, when considering the number 1278.50, there are six significant figures: 1, 2, 7, 8, 5, and 0. It is important to pay attention to significant figures when performing calculations or reporting measurements, as they indicate the level of precision of a given value.