Lecture 3 - Basic Math

Question 1

If it is 5 or above

Answer 1

round up

Question 2

If it is 5 or below

Answer 2

round down

Question 3

Example 1: Round 325.497 to the nearest whole number

Answer 3

325

Question 4

Example 2: Round 325.497 to the nearest tenth

Answer 4

325.5

Question 5

Example 3: Round 325.497 to the nearest hundredth

Answer 5

325.50

Question 6

True or False: Avoid rounding numbers within a calculation problem. Round at the final step of a calculation problem.

Answer 6

true

Question 7

Round 0.0357 to 2 significant figures

Answer 7

0.036

Question 8

Round 3570 to 2 significant figures

Answer 8

3600

Question 9

Round 325.497 to two decimal places

Answer 9

325.50

Question 10

How many drops should a patient apply to their eye for the following prescription?
Timolol 2.5 mg/mL – apply 0.2 mg to right eye twice a day
Note: 20 gtt = 2mL

Answer 10

0.2 mg X mL/2.5 mg X 20gtt/mL = 1.6 gtt = 2 drops

Question 11

When measuring volume in a graduated cylinder calibrated in units of 1
milliliter, would be correct to measure a volume of 17.5 mL but not 17.54 mL, because
the 5 (tenths) is uncertain and no number should follow.

Answer 11

17.53 mL reading

Question 13

Are the zeros considered significant? 0.0125 g

Answer 13

NO

Question 14

Are the zeros considered significant? 1250.0g

Answer 14

yes

Question 15

How many significant figures?
4.58 g

Answer 15

3

Question 16

How many significant figures?
4.580g

Answer 16

4 (start left to right)

Question 17

How many significant figures?
0.0458g

Answer 17

3 (Start right to left)

Question 18

How many significant figures?
4600g

Answer 18

4

Question 19

Example: 12.5 g + 10.65 g + 8.30 g = 31.45 g = 31.5 g
The result of products and quotients should:

Answer 19

Have no more significant figures than the component with the least # significant figures

Question 20

Example: 2.466mg/dose x 15 doses

Answer 20

37 mg

Question 21

5.5 g + 12.35 g + 4.40 g =

Answer 21

22.3g

Question 22

2.533 mg/day x 15 days=

Answer 22

38mg

Question 23

Relative amount of two quantities (one to the other) is called a

Example: a:b

Answer 23

ratio

Question 24

A proportion is the expression of the equality of two ratios.

Answer 24

Example: a/b = c/d

Question 25

If 3 tablets contain 975 milligrams of aspirin, how many milligrams should be contained in 12 tablets?

Answer 25

3 tab/975mg = 12 tab/Xmg
X = 3900 mg

Question 26

If 3 tablets contain 975 milligrams of aspirin, how may tablets should contain 3900
Milligrams?

Answer 26

3 tab/975 mg = Xtab/3900 mg
X = 12 tab

Question 27

Dimensional analysis steps are?

Answer 27

-Identify the wanted unit of the answer
-Identify given quantities of measurement
-Identify conversion factors
-Set up ratios that can canel
-Compute

Question 28

How many fluidounces are there in 2.5 liters (L)

Answer 28

Floz = 2.5 L| 1000 mL/ 1L| 1 floz/29.57 mL
Floz = 84.55

Question 29

liter (l or L)
deciliter (dl)
milliliter (ml) (aka cubic centimeter cc)
1l = 10 dl = 1,000 ml
1dl = 0.1 l = 100 ml
1ml = 0.001 l = 0.01 dl

Answer 29

Volume

Question 30

kilogram (kg) 1kg = 1,000 g
gram (g) 1g = 0.001 kg = 1,000 mg
milligram (mg) 1mg = 0.001 g = 1,000 mcg
microgram (mcg or μg) 1 mcg = 0.001mg = 0.000001 g
Nanogram (ng) 1ng = 0.000000001 g

Answer 30

Weight

Question 31

meter (m) 1 m = 100 cm
centimeter (cm) 1 cm = 10 mm
millimeter (mm) 1 mm = 1,000 μm (micrometers)

Answer 31

Length

Question 32

pound (lb) 1 lb = 16 oz
ounce (oz) 1 oz = 437.5 gr
grain (gr)

Answer 32

AVOIRDUPOIS SYSTEM

Question 33

gallon (gal) 1 gal = 4 qt
quart (qt) 1 qt = 2 pt
pint (pt) 1 pt = 16 fl oz

Answer 33

Fluid

Question 34

teaspoon (tsp) 1 tsp = 5 ml
tablespoon (tbsp or T) 1tbsp = 3 tsp = 15 ml
1 cup = 8 fl oz

Answer 34

other

Question 35

1 m = 39.37 in
1 in = 2.54 cm

Answer 35

Length Conversions

Question 36

1 fluidram (fʒ) = 3.69 mL (1 fluidram = 1 tsp or 5 ml is accepted value)
1 fluid ounce (f℥) = 29.57 ml (will accept 1 fluid ounce = 30 ml)
1 pt (16 fl oz) = 473 ml
1 qt (32 fl oz) = 946 ml
1 gal = 3785 ml
1 mL = 20 drops (gtt)

Answer 36

Volume Conversions

Question 37

1 g = 15.432 gr
1 kg = 2.20 lb (avoir.)
1 gr = 0.065 g or 65 mg
1 oz (avoir.) = 28.35 g
1 lb (avoir.) = 454 g

Answer 37

Weight Conversions