When measurements are expressed to three significant figures, it means that only the first three digits that contribute to the precision of the number are considered. This includes all non-zero digits, any zeros between them, and trailing zeros if they are to the right of a decimal point. For example, the number 0.00456 would be expressed as 4.56 × 10^(-3) in three significant figures. This practice helps in maintaining clarity and consistency in data representation.
30.5 cm
A measurement expressed to three significant figures includes three digits that contribute to its precision, which may include leading zeros but excludes trailing zeros unless they are after a decimal point. For example, the number 0.00456 would be expressed as 4.56 × 10^-3 in three significant figures. Similarly, a measurement like 1500 could be expressed as 1.50 × 10^3 if it is intended to be three significant figures.
Yes.
7.30*107 km
Expressed as a decimal, rounded to three significant figures, 9/981 = 0.00917
30.5 cm
30.5 cm
A measurement expressed to three significant figures includes three digits that contribute to its precision, which may include leading zeros but excludes trailing zeros unless they are after a decimal point. For example, the number 0.00456 would be expressed as 4.56 × 10^-3 in three significant figures. Similarly, a measurement like 1500 could be expressed as 1.50 × 10^3 if it is intended to be three significant figures.
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
Yes.
The number of days in a year is approximately 365.25. In scientific notation with three significant figures, this can be expressed as 3.65 x 10^2 days.
7.30*107 km
Expressed as a decimal, rounded to three significant figures, 9/981 = 0.00917
Three significant figures: two before the decimal point and one after.
It is then 2.64 when rounded to three significant figures
To find the average of the three masses (9.93 g, 9.90 g, and 10.02 g), first sum the values: 9.93 + 9.90 + 10.02 = 29.85 g. Next, divide by the number of measurements: 29.85 g / 3 = 9.95 g. Since the least precise measurement (9.90 g) has three significant figures, the average should also be expressed to three significant figures, resulting in an average mass of 9.95 g.
3 significant figures