The answers to the given calculations are to be expressed with correct units and the correct number of significant figures. Concept introduction: Significant figures are the number of digits that are used to express a calculated quantity. It is very important to report a numerical result with the correct number of significant figures. The rules involved in determining the correct number of significant figures are: For addition and subtraction, the answer should contain same number of decimal places as present in the measurement with the least number of significant digits. In multiplication and division, the number of significant figures in the final product or quotient is determined by the original number that has the smallest number of significant figures. Exact numbers have an infinite number of significant figures. While reporting the final answer round up if the first non-significant digit is 5 or greater than 5 , and round down if it is below 5 .
The answers to the given calculations are to be expressed with correct units and the correct number of significant figures. Concept introduction: Significant figures are the number of digits that are used to express a calculated quantity. It is very important to report a numerical result with the correct number of significant figures. The rules involved in determining the correct number of significant figures are: For addition and subtraction, the answer should contain same number of decimal places as present in the measurement with the least number of significant digits. In multiplication and division, the number of significant figures in the final product or quotient is determined by the original number that has the smallest number of significant figures. Exact numbers have an infinite number of significant figures. While reporting the final answer round up if the first non-significant digit is 5 or greater than 5 , and round down if it is below 5 .
Solution Summary: The author explains that significant figures are the number of digits that are used to express a calculated quantity.
The answers to the given calculations are to be expressed with correct units and the correct number of significant figures.
Concept introduction:
Significant figures are the number of digits that are used to express a calculated quantity. It is very important to report a numerical result with the correct number of significant figures.
The rules involved in determining the correct number of significant figures are:
For addition and subtraction, the answer should contain same number of decimal places as present in the measurement with the least number of significant digits.
In multiplication and division, the number of significant figures in the final product or quotient is determined by the original number that has the smallest number of significant figures.
Exact numbers have an infinite number of significant figures.
While reporting the final answer round up if the first non-significant digit is 5 or greater than 5, and round down if it is below 5.
A group of students took turns using a laboratory balanceto weigh the water contained in a beaker. The results theyreported were 111.42 g, 111.67 g, 111.21 g, 135.64 g,111.02 g, 111.29 g, and 111.42 g.(a) Should any of the data be excluded before the average is calculated?(b) From the remaining measurements, calculate the average value of the mass of the water in the beaker.(c) Calculate the standard deviation s and, from it, the 95% confidence limit.
Be sure to answer all parts.
Carry out the following operations as if they were calculations of experimental results and express each
answer in standard notation with the correct number of significant figures and with the correct units.
Enter both the answer and the units in the answer field.
(a) 7.2129 m + 0.6 m + 4.33 m
(b) 3.70 g-4.0933 g
(c) 4.51 cm x 5.9233 cm
Express the results of the following multiplications and
divisions to the proper number of significant figures. All of
the numbers are measured quantities.
(a) 129.587 × 32.33 =
4.7791
(b)
3.21 × 5.793
10566.9
(c)
3.584 × 1029
(d) (5.247 × 10'3) × (1.3 × 10-17) =