To match measurements to the correct number of significant figures, you must consider the precision of each value. For example, a measurement like 0.00456 has three significant figures (4, 5, and 6), while 1200 has two significant figures if no decimal is present. In contrast, 1200.0 would have five significant figures due to the decimal indicating that the zeros are significant. Always look for non-zero digits, zeros between significant figures, and trailing zeros with a decimal point to determine the total count.
To determine which measurements represent the same level of precision, you need to compare the number of significant figures or decimal places in each measurement. Measurements with the same number of decimal places or significant figures indicate a similar level of precision. For example, 0.0050 and 0.050 both have two significant figures, thus representing the same level of precision.
The number given of 11254 has five significant figures
To determine the number of significant figures in the product of 2.8 and 10.5, we look at the number of significant figures in each number. The number 2.8 has 2 significant figures, and 10.5 has 3 significant figures. When multiplying, the result should be reported with the same number of significant figures as the factor with the least significant figures, which is 2. Therefore, the product of 2.8 x 10.5 should be expressed with 2 significant figures.
2
Significant figures play a crucial role in dimensional analysis by indicating the precision of measurements. When performing calculations, it is important to consider the number of significant figures in each measurement to ensure the accuracy of the final result. Using the correct number of significant figures helps maintain the precision of the calculations and ensures that the final answer is reliable.
The number given of 11254 has five significant figures
When multiplying numbers with significant figures, count the total number of significant figures in each number being multiplied. The result should have the same number of significant figures as the number with the fewest significant figures. Round the final answer to that number of significant figures.
When multiplying numbers, count the number of significant figures in each number being multiplied. The result should have the same number of significant figures as the number with the fewest significant figures.
To determine the number of significant figures in the product of 0.1400, 6.02, and (10^{23}), we need to identify the significant figures in each number. The number 0.1400 has four significant figures, 6.02 has three significant figures, and (10^{23}) has one significant figure (as it is a power of ten). The product will have the same number of significant figures as the term with the least significant figures, which is 6.02 with three significant figures. Therefore, the final product will have three significant figures.
3.774 is to 4 significant figures (count them)
To determine the number of significant figures in the product of 2.8 and 10.5, we look at the number of significant figures in each number. The number 2.8 has 2 significant figures, and 10.5 has 3 significant figures. When multiplying, the result should be reported with the same number of significant figures as the factor with the least significant figures, which is 2. Therefore, the product of 2.8 x 10.5 should be expressed with 2 significant figures.
5 of them.
2
Count the significant figures in each number. Calculate the minimum of these numbers. Do the multiplication Round the product to the LEAST number of significant figures, determined above.
Two - the trailing zeros are just placeholders.
To determine the number of significant figures in the answer to the calculation 65.25 m x 37.4 m, we look at the significant figures of each number. The number 65.25 m has four significant figures, while 37.4 m has three significant figures. The result should be reported with the least number of significant figures, which is three in this case. Therefore, the answer will have three significant figures.