# Conversions and Dosage

Please see the attached file for the complete problems.

Significant Figures in Calculations

Part A

Compute 3.5 * 4.48697 . Round the answer appropriately.

Express your answer numerically using the proper number of significant figures.

Part B

Compute 1240.64/12.5. Round the answer appropriately.

Express your answer numerically using the proper number of significant figures.

Part C

Compute 9.3456 + 2140.56. Round the answer appropriately.

Express your answer numerically using the proper number of significant figures.

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?

Express your answer numerically in milliliters.

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?

Express your answer numerically in pounds.

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

It investigates the scientific notation, significant numbers, percentage, and conversions among units.