This

**preview**shows page 1. to view the full**4 pages of the document.**THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS LENGTH

AREA

VOLUME

LIQUID MEASURE

Weights & Measures

Weights & Measures

• Most of the United States system of

measurements is the same as that for the

United Kingdom

• The system was standardized in 1836,

with the main differences being liquid and

dry capacity measures

• These measures were originally defined by

physical standard measures, but are now

defined by reference to the SI

(The International System of Units),

the modern standard of the metric system

12 inches 1 foot

3 feet 1 yard

220 yards 1 furlong

3 land miles 1 league

6,076.11549 feet 1 international

nautical mile

1 mile 8 furlongs

1760 yards

5280 feet

1 square foot 144 square inches

1 square yard 9 square feet

1 acre 4840 square yards

1 square mile 640 acres

1 section 1 square mile

1 township 36 sections

1 cubic foot 1728 cubic inches

1 cubic yard 27 cubic feet

1 pint 16 fluid ounces

4 gills

2 pints 1 quart

1 gallon 4 quarts

CIRCULAR MEASURE

• A second (SI measurement) is defined

as the time duration of 9,192,631,770

periods of the radiation of the transition

between the two hyperfine levels of the

ground state of the Cesium-133 atom

MASS

MAT H E M AT I C A L N O TAT I O N S

LIQUID MEASURE

CONVERSION

1 ounce 437.5 grains

1 pound 16 ounces

14 pounds 1 stone

100 pounds 1 hundredweight (cwt)

20 cwt 1 ton

TROY WEIGHTS

• The troy system (named for Troyes,

France) is used only for precious metals

1 pennyweight 24 grains

1 ounce 20 pennyweights

12 ounces 1 pound

Second (‘’) —

Minute (‘) 60 seconds

Degree (°) 60 minutes

30 degrees 1 sign

12 signs 360 degrees

Right angle 90 degrees

Straight angle 180 degrees

Circle 360 degrees

• Apothecaries’ weights are based on

troy weights; in addition to the pound,

ounce, and grain (which are equal to

the troy units of the same name), other

units are the dram and the scruple

1 scruple 20 grains

1 dram 3 scruples

1 ounce 8 drams

12 ounces 1 pound

1 fluid dram 60 minims

1 fluid ounce 8 fluid drams

1 pint 16 fluid ounces

APOTHECARIES’ WEIGHTS & MEASURES

• 1018 = 1,000,000,000,000,000,000

(one quintillion)

• 1015 = 1,000,000,000,000,000

(one quadrillion)

• 1012 = 1,000,000,000,000 (one trillion)

• 109= 1,000,000,000 (one billion)

• 106= 1,000,000 (one million)

• 103= 1000 (one thousand)

• 102= 100 (one hundred)

• 101 = 10 (ten)

• 100= 1 (one)

• 10-1 = 0.1 (one-tenth)

• 10-2 = 0.01 (one-hundredth)

• 10-3 = 0.001 (one-thousandth)

• 10-6 = 0.000 001 (one-millionth)

• 10-9 = 0.000 000 001 (one-billionth)

• 10-12 = 0.000 000 000 001

(one-trillionth)

• 10-15 = 0.000 000 000 000 001

(one-quadrillionth)

• 10-18 = 0.000 000 000 000 000 001

(one-quintillionth)

NUMERICAL PREFIXES

1/10 Deci

1/2 Semi, hemi, demi

1Uni

2Bi, di

3Tri, ter

4Tetra, tetr, quadri

5Penta, quint

6Sex, hex, hexa

7Hept, sept, septo

8Oct, octo

9Non, ennea

10 Dec, deca, deka

11 Hendeca, undeca

12 Dodeca

13 Quindeca

Imperial Metric (ml) U.S. units

1/6 fl oz 4.8 4.9 1 tsp

1/2 fl oz 14.2 14.8 1 tbsp

1 fl oz 28.4 29.6 1/8 cup

2 fl oz 56.8 59.2 1/4 cup

3 fl oz 85.2 88.7 3/8 cup

4 fl oz 113.7 118.3 1/2 cup

5 fl oz 142.1 158.5 2/3 cup

6 fl oz 170.5 177.4 3/4 cup

8 fl oz 227.3 236.6 1 cup

(1/2 pint)

10 fl oz 284.1 295.7 1 1/4cups

(1/2 pint)

12 fl oz 341.0 354.9 1 1/2cups

16 fl oz 454.6 473.2 2 cups

(1 pint)

20 fl oz 568.3 591.5 2 1/2cups

(1/2 pint)

1 1/2pints 852.4 887.2 3 3/4cups

1 3/4pints 937.6 946.4 4 cups

(33 fl oz) (1 quart)

2 pints 1137 1183 1 1/4quarts

2 1/3pints 1326 1420 3 pints

3 1/4pints 1847 1893 2 quarts

l e a r n • r e f e r e n c e • r e v i e w

TM

permacharts

WEIGHTS & MEASURES • A-716-11© 2002-2011 Mindsource Technologies Inc.

www.permacharts.com

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