What is the formula for calculating density?
Density = mass/volume
Convert the number 234,000 into scientific notation.
2.34×105
Define accuracy in a scientific context
Accuracy is the degree to which a measured value agrees with the true value.
Count the significant figures in the number 500.
The number 500 has 1 significant figure
Convert 250 cm to mm.
2500 mm
A student calculates the density of platinum to be 20.48 g/cm³. The Merck Index reports 21.45 g/cm³. What is the percent error of the student’s calculation?
4.49%
Convert the number 0.00045 into scientific notation
4.5×10−4
Define precision in a scientific context
Precision is the degree to which repeated measurements under unchanged conditions show the same results.
Count the significant figures in the number 150.
The number 150 has 2 significant figures
Convert 82,650 J to kJ
82.65 kJ
Is this student’s density calculation considered accurate? Explain your answer.
No, the calculation is not accurate based on standard scientific conventions, as the density is significantly different from the known value.
Convert the number 58,200,000,000 into scientific notation.
5.82×1010
Describe the difference between accuracy and precision
Accuracy refers to how close a measurement is to the true value, while precision refers to how consistent measurements are to each other.
40.7 (3 significant figures
Convert 250 mL to L
0.250 L
Determine the volume in a graduated cylinder if it shows 50 mL
The volume in the graduated cylinder is 50 mL
0.00052
An example of a measurement that is precise but not accurate could be multiple measurements of 10.0 g when the true value is actually 12.0 g.
Calculate the product of 4.2 and 9.856, rounding to the correct number of significant figures
41.5 (3 significant figures)
Convert 384 mg to g
0.384 g
If you have a substance with a mass of 100 g and a volume of 25 mL, what is the density?
4 g/ml
Convert the number 7.8 x 10⁶ into standard notation.
7,800,000
Provide an example of a measurement that is accurate but not precise
An example of a measurement that is accurate but not precise could be measurements of 10.0 g, 10.1 g, and 9.9 g when the true value is 10.0 g
Calculate the difference of 93.8 and 2.1000, rounding to the correct number of significant figures.
91.7 (3 significant figures)
Convert 0.05 g to mg
50 mg