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# Conversions and Dosage

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Significant Figures in Calculations

Part A
Compute 3.5 * 4.48697 . Round the answer appropriately.

Part B
Compute 1240.64/12.5. Round the answer appropriately.

Part C
Compute 9.3456 + 2140.56. Round the answer appropriately.

Scientific Notation
Part A
Type the number 1340000 in scientific notation. Express your answer using scientific notation.
1340000 =

Part B
Type the number 0.000354 in scientific notation. Express your answer using scientific notation.
0.000354 =

Part D
Type the number 3.14 * 10^3 in standard notation. Express your answer using standard notation.

Part E
Write the number 8.75 * 10^-4 in standard notation. Express your answer using standard notation.

Using Percentage as a Conversion Factor
Part A

A solution of cough syrup contains 5.00% active ingredient by volume. If the total volume of the bottle is 66.0 mL, how many milliliters of active ingredient are in the bottle?

Part B
Sylvanite is a mineral that contains 28.0% gold by mass. How much sylvanite would you need to dig up to obtain 32.0 g of gold? Express your answer numerically in grams.

Part C
If an athlete weighs 151 lb and has 15.0% body fat by weight, how many pounds of fat does the athlete's body contain?

Counting Significant Figures

Number Significant figures Explanation
23.56 4 All nonzero digits are significant.
23.560 5 Trailing zeros are significant when a decimal point is shown.
1000 1 Trailing zeros are not considered significant when no decimal point is shown.
1000. 4 Showing the decimal point indicates that the preceding zeros are significant.
500.01 5 Zeros between nonzero digits are significant.
0.0078 2 Leading zeros are not significant.

Part A
Determine the number of significant figures in the measurement 6.07? Express your answer numerically as an integer.

Part B
Determine the number of significant figures in the measurement 0.0030? Express your answer numerically as an integer.

Part C
Round the value 44.981 g to three significant figures. Express your answer numerically using three significant figures.

Determining the Correct Dosage

Part B
Insulin is a protein that is used by the body to regulate both carbohydrate and fat metabolism. A bottle contains 275 mL of insulin at a concentration of 40.0 mg/mL . What is the total mass of insulin in the bottle? Express your answer numerically in milligrams.

Part C
If you are administering an insulin dose of 70.0 mg from a bottle at a concentration of 10.0 mg/mL, how many milliliters of the solution do you need to give the patient? Express your answer numerically in milliliters.

##### Solution Summary

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