Table of Contents

Teaching and Learning The Metric System

Unit 1

- Suggested Teaching Sequence

- Objectives

- Rules of Notation

- Metric Units, Symbols, and Referents

- Metric Prefixes

- Linear Measurement Activities

- Area Measurement Activities

- Volume Measurement Activities

- Mass (Weight) Measurement Activities

- Temperature Measurement Activities

1

1 

1 

1 

2 

2 

3 

5 

7 

9 

11

Unit 2

- Objectives

- Suggested Teaching Sequence

- Metrics in this Occupation

- Metric Units For Auto Mechanics

- Trying Out Metric Units

- Keep It Running With Metrics

12

12

12

12

13

14

15

Unit 3

- Objective

- Suggested Teaching Sequence

- Metric-Metric Equivalents

- Changing Units at Work

16

16

16

16

18

Unit 4

- Objective

- Suggested Teaching Sequence

- Selecting and Using Metric Instruments, Tools and Devices

- Which Tools for the Job?

- Measuring Up in Auto Mechanics

19

19

19

19

20

20

Unit 5

- Objective

- Suggested Teaching Sequence

- Metric-Customary Equivalents

- Conversion Tables

- Any Way You Want It

21

21

21

21

22

23

Testing Metric Abilities 24

Answers to Exercises and Test 25

Tools and Devices List

References


1. 

2. 

3. 

UNIT 1 

SUGGESTED TEACHING SEQUENCE 

These introductory exercises may require 

two or three teaching periods for all five 

areas of measurement. 

Exercises should be followed in the order 

given to best show the relationship 

between length, area, and volume. 

Assemble the metric measuring devices 

(rules, tapes, scales, thermometers, and 

measuring containers) and objects to be 

measured.* 

4. Set up the equipment at work stations 

for use by the whole class or as individualized resource activities. 

5. Have the students estimate, measure, and 

record using Exercises 1 through 5. 

6. Present information on notation and 

make Table 1 available. 

7. Follow up with group discussion of 

activities. 

*Other school departments may have devices which 

can be used. Metric suppliers are listed in the reference 

section. 

OBJECTIVES 

The student will demonstrate these skills for the Linear, Area, Volume or Capacity, Mass, and 

Temperature Exercises, using the metric terms and measurement devices listed here. 

SKILLS 

1. Recognize and use the 

unit and its symbol for: 

2. Select, use, and read the 

appr<>priate measuring 

instruments for: 

3. State or show a 

physical reference for: 

4. Estimate within 25% 

of the actual measure 

5. Read correctly 

Linear 

(pp. 3. 4) 

millimetre (mm) 

centimetre (em) 

metre (m) 

height, width, or 

length of objects 

metre stick, metric 

tape measure~ and 

metric rulers 

RULES OF NOTATION 

Area 

(pp. 5 . 6) 

square 

centimetre 

(cm2 ) 

square 

metre 

(m2) 

the area of 

a given surface 

EXERCISES 

Volume or Capacity 

(pp. 7 -8) 

cubic centimetre (cm 3 ) 

cubic metre 

(m3) 

litre (I) 

millilitre (ml) 

capacity of 

containers 

measurements 

on graduated 

volume measur· 

ing devices 

Mass Temperature 

(pp. 9. 10) (p. 11) 

gram (g) degree Celsius 

tel 

kilogram (kg) 

the mass of objects the temperature of 

in grams and kilo· the air or a liquid 

grams 

a kilogram scale A Celsius thermometer 

and a gram scale 

1. Symbols are not capitalized unless the unit is a proper name (mm not MM). 

2. Symbols are not followed by periods (m not m.). 

3. Symbols are not followed by an s for plurals (25 g not 25 gs). 

4. 

5. 

6. 

7. 

A space separates the numerals from the unit symbols (4 1 not 41). 

Spaces, not corrunas, are used to separate large numbers into groups of three 

digits (45 271 km not 45,271 km). 

A zero precedes the decimal point if the number is less than one (0.52 g not .52 g). 

Litre and metre can be spelled either with an -re or -er ending. 

Information Sheet 1 

1 
2 

METRIC UNITS, SYMBOlS, AND REFERENTS METRIC PREFIXES 

Quantity Metric Unit Symbol Useful Referents Multiples and 

Prefixes Symbols Submultiples 

Length millimetre mm Thickness of dime or paper 

clip wire 

1 000 000 = 106 mega (meg'a ) M 

centimetre CIJ1 Width of paper clip 1 000 = 103 kilo (k llo) k 

metre m Height of door about 2 m 100 = 102 hecto (he k' to ) h 

kilometre km 12-minute walking distance 10 = 101 deka (dek'a) da 

Area square Area of this space 

D centimetre cm2 Base Unit 1 = 10° 

0.1 = 10 -l deci (des 'i> d 

0.01 = 10 - 2 centi (sen'tl) c 

square metre m 2 Area of card table top 0.001 = 10 - 3 milli ( nrli'i) m 

hectare ha Football field including sidelines 

and end zones 0.000 001 = 10- 6 micro (ml'kro) J1 

Volume and millilitre ml Teaspoon is 5 ml 

Capacity litre I A little more than 1 quart Table 1-b 

cubic 

centimetre cm3 Volume of this container 

OJ 

cubic metre m3 A little more than a cubic yard 

Mass milligram mg Apple seed about 10 mg, grain of 

salt, 1 mg 

gram g Nickel about 5 g 

kilogram kg Webster's Collegiate Dictionary 

metric ton 

( 1 000 kilolll'ams) t Volkswagen Beetle 

Table 1- a 
LINEAR MEASUREMENT ACTIVITIES 

Metre, Centimetre, Millimetre 

I. THE METRE (m) 

A. DEVELOP A FEELING FOR THE SIZE OF A .METRE 

1. Pick up one of the metre 

sticks and stand it up on the 

floor. Hold it in place with 

one hand. Walk around the 

stick. Now stand next to 

the stick. With your other 

hand, touch yourself where 

the top of the metre stick 

comes on you. 

THAT IS HOW HIGH A .METRE IS! 

2. Hold one arm o1.1:t straight 

at shoulder height. Put 

the metre stick along this 

arm until the end hits the 

end of your fingers. Where 

is the other end of the 

metre stick? Touch yourself at that end . 

THAT IS HOW LONG A .METRE IS! 

OC3'ENT£R FOR VOCAT>QNAC •DUC ATION 

3. Choose a partner to stand 

at your side. Move apart 

so that you can put one 

end of a metre stick on 

your partner's shoulder 

and the other end on 

your shoulder. Look at 

the space between you. 

THAT IS THE WIDTH OF A .METRE! 

3 

B. DEVELOP YOUR ABILITY TO ESTIMATE IN .METRES 

1. 

2. 

3. 

4 . 

5. 

6. 

Now you will improve your ability to estimate in metres. 

Remember where the length and height of a metre was on your 

body. 

For each of the following items: 

Estimate the size of the items and write your estimate in the 

ESTIMATE column. l\1easure the size with your metre stick 

and write the answer in the .MEASURE.MENT colurrm. 

Decide how close your estimate was to the actual measure. If 

your estimate was within 25% of the actual measure you are a 

"Metric l\1arvel." 

Height of door knob 

from floor. 

Height of door. 

Length of table . 

Width of table. 

Length of wall of 

this room. 

Distance from 

you to wall. 

Estimate 

(m) 

l'vfeasurement 

(m) 

How Close 

Were'You? 

Exercise 1 

(continued on next page) 
4 

II. THE CENTIMETRE (em) 

There are 100 cPntimetres in onP metre. If therP arP 4 metrP~ and 

3 centimetres, you write 403 em [ ( 4 x 100 em)+ 3 em = 400 em 

+ 3 em]. 

A. DEVELOP A FEELING FOR THE SIZE OF A CENTilVIETRE 

B. 

1. Hold the metric ruler against the width of your thumbnail. 

How wide is it? em 

2. Measure your thumb from the first joint to the end. 

em 

3 . Use the metric ruler to find the width of your palm. 

em 

4. Measure your index or pointing finger. How long is it? 

em 

5 . Measure your wrist with a tape measure. \Vhat is the distance 

around it? em 

6. Use the tape measure to find your waist size . ____ em 

DEVELOP YOUR ABILITY TO ESTIMATE IN CENTIMETRES 

You are now ready to estimate in centimetres. For each of the 

following items, follow the procedures used for estimating in 

metres. 

1. Length of a paper 

clip. 

2. Diameter (width) 

of a coin. 

3. Width of a 

postage stamp. 

4. Length of a 

pencil. 

5. Width of a sheet 

of paper. 

Estimate 

(em) 

Measurement 

(em) 

How Close 

Were You? 

III. THE l\11LLIMETRE (mm) 

There are 10 millimetres in OJW cPntimPtrP. VJhf'n a mf'asurf'ment is 

2 centimetres and 5 millimetres, you write 25 mm [ ( 2 x 10 mm) 

+ 5 mm = 20 mm + 5 mm] . There are 1 000 mm in 1m. 

A. DEVELOP A FEELING FOR THE SIZE OF A l\TILLIMETRE 

Using a ruler marked in millimetres, measure: 

1. Thickness of a paper clip wire . mm 

2. Thickness of your fingernaiL mm 

3. Width of your fingernail. mm 

4. Diameter (width)of a coin. mm 

5. Diameter (thickness) of your pencil. mm 

6. Width of a postage stamp. mm 

B. DEVELOP YOUR ABILITY TO ESTIMATE IN MILLIMETRES 

1. 

2. 

3. 

4 . 

5 . 

6. 

You are now ready to estimate in millimetres. For each of the 

following items, follow the procedures used for estimating in 

metres. 

Thickness of a 

nickel. 

Diameter (thickness) 

of a bolt. 

Length of a bolt. 

Width of a sheet 

of paper. 

Thickness of a board 

or desk top. 

Thickness of a 

button. 

Estimate 

(mm) 

How Close 

Measurement Were You? 

(mm) 

Exercise 1 
AREA MEASUREMENT ACTIVITIES 

Square Centimetre, Square Metre

WHEN YOU DESCRIBE THE AREA OF SOMETHING, YOU ARE 

SAYING HOW l'vL-\NY SQUARES OF A GIVEN SIZE IT TAKES TO 

COVER THE SURF ACE. 

I. THE SQUARE CENTIMETRE (cm2 ) 

A. DEVELOP A FEELING FOR A SQUARE CENTIMETRE 

1. Take a clear plastic grid, or use the grid on page 6. 

2. Measure the length and width of one of these small 

squares with a centimetre ruler. 

THAT IS ONE SQUARE CENTIMETRE! 

3. Place your fingernail over the grid. About how many 

squares does it take to cover your fingernail? 

___ cm2 

4. Place a coin over the grid. About how many squares 

does it take to cover the coin? cm2 

5. Place a postage stamp over the grid. About how many 

squares does it take to cover the postage stamp? ___ cm2 

6. Place an envelope over the grid. About how many 

squares does it take to cover the envelope? 

___ cm2 

7. Measure the length and width of the envelope in centimetres. Length em; width em. 

Multiply to find the area in square centimetres. 

____ em x em= cm2 • How 

close are the answers you have in 6. and in 7 .? 

B. DEVELOP YOUR ABILITY TO ESTil\tlATE IN SQUARE 

. CENTIMETRES 

You are now ready to develop your ability to estimate 

in square centimetres. 

Remember the size of a square centimetre. For each of the 

following items, follow the procedures used for estimating in 

metres. 

5 

Estimate 

(cm2 ) 

Measurement 

(cm2 ) 

How Close 

Were You? 

1. Index card. 

2. Book cover. 

3. . Photograph. 

4. Window pane or 

desk top. 

II. THE SQUARE METRE (m2 ) 

A. DEVELOP A FEELING FOR A SQUARE METRE 

1. Tape four metre sticks together to make a square which 

is one metre long and one metre wide. 

2. Hold the square up with one side on the floor to see how 

big it is. 

3. Place the square on the floor in a corner. Step back and 

look. See how much floor space it covers. 

4. Place the square over a table top or desk to see how 

much space it covers. 

5. Place the square against the bottom of a door. See how 

much of the door it ·covers. How many squares would it 

take to cover the door? m2 

THIS IS HOW BIG A SQUARE METRE IS! 

Exercise 2 

(continued on next page) 
6 

B. DEVELOP YOUR ABILITY TO ESTIMATE IN SQUARE CENTIMETRE GRID 

METRES 

You are now ready to estimate in square metres. Follow the 

procedures used for estimating in metres. 

How Close 

Estimate :Measurement Were You? 

(m2) (m2) 

1. Door. 

2. Full sheet of ' 

newspaper. 

3. Chalkboard or 

bulletin board. 

4. Floor. 

5. Wall. 

6. Wall chart or poster. 

7. Side of file cabinet. 

~ FQA VOCATOONAL EDUCATOON Exercise 2 
VOLUME MEASUREMENT ACTIVITIES 

Cubic Centimetre, Litre, Millilitre, Cubic Metre 

I. THE CUBIC CENTIMETRE ( cm3 ) 

A. DEVELOP A FEELING FOR THE CUBIC CENTIMETRE 

1. Pick up a colored plastic cube. Measure its length, 

height, and width in centimetres. 

THAT IS ONE CUBIC CENTIMETRE! 

2. Find the volume of a plastic litre box. 

a. Place a ROW of cubes against the bottom of one side 

of the box. How many cubes fit in the row? ___ _ 

b. Place another ROW of cubes against an adjoining side 

of the box. I:Iow many rows fit inside the box 

to make one layer of cubes? ___ _ 

How many cubes in each row? ___ _ 

How many cubes in the layer in the bottom of the 

box? _ __ _ 

c. Stand a ROW of cubes up against the side of the box. 

How many LAYERS would fit in the box? ___ _ 

How many cubes in each layer? ___ _ 

How many cubes fit in the box altogether? ___ _ 

THE VOLUME OF THE BOX IS ___ CUBIC 

CENTIMETRES. 

d. Measure the length, width, and height of the box in 

centimetres. Length em; width em; 

height em; Multiply these numbers to find 

the volume in cubic centimetres. 

em x em x em = cm3 . ----- --- Are the answers the same in c. and d.? 

B. DEVELOP YOUR ABILITY TO ESTil\1ATE IN CUBIC 

CENTIMETRES 

1. 

You are now ready to develop your ability to estimate 

in cubic centimetres. 

Remember the size of a cubic centimetre. For each of 

the following items, use the procedures for estimating in 

metres. 

Index card file 

box. 

Estimate 

(cm3 ) 

Measurement 

(cm3 ) 

How Close 

Were You? 

2. Freezer container. 

3. Paper clip box. 

4. Box of staples. 

II. THE LITRE (1) 

A. DEVELOP A FEELING FOR A LITRE 

1. Take a one litre beaker and fill it with water. 

7 

2. Pour the water into paper cups, filling each as full as you 

usually do. How many cups do you fill? 

THAT IS HOW MUCH IS IN ONE LITRE! 

3. Fill the litre container with rice. 

THAT IS HOW MUCH IT TAKES TO FILL A ONE 

LITRE CONTAINER! 

Exercise 3 

(continued on next page) 
8 

III. 

B. DEVELOP YOUR ABILITY TO ESTI::\1ATE IN LITRES 

You are now ready to develop your ability to estimate in 

litres. To write two and one-half litres, you write 2.5 l, or 

2.5 litres. To write one-half litre, you write 0.5 l, or 0.5 

litre. To write two and three-fourths litres, you write 

2.751, or 2.75 litres. 

For each of the following items, use the procedures for 

estimating in metres. 

1. Medium-size 

freezer container 

2. Large freezer 

container. 

3. Small freezer 

container. 

4. Bottle or jug. 

THE MILLILITRE (ml) 

Estimate 

(l) 

Measurement 

(l) 

How Close 

Were You? 

There are 1 000 millilitres in one litre. 1 000 ml = 1 litre. Half 

a litre is 500 millilitres, or 0.5 litre = 500 ml. 

A. DEVELOP A FEELING FOR A l.\1ILLILITRE 

1. Examine a centimetre cube. Anything which holds 

1 em 3 holds 1 ml. 

2. Fill a 1 millilitre measuring spoon with rice. Empty the 

spoon into your hand. Carefully pour the rice into a 

small pile on a sheet of paper. 

THAT IS HOW MUCH ONE MILLILITREIS! 

3. Fill the 5 ml spoon with rice. Pour the rice into another 

pile on the sheet of paper. 

THAT IS 5 MILLILITRES, OR ONE TEASPOON! 

4. Fill the 15 ml spoon with i-ice. Pour the rice into a third 

pile on the paper. 

THAT IS 15 MILLILITRES, OR ONE TABLESPOON! 

~CENTER roo VOCAn<>NAC EOUCATOON 

B. DEVELOP YOUR ABILITY TO ESTIMATE IN MILLILITRES 

1. 

2. 

3. 

You are now ready to estimate in millilitres. Follow the 

procedures used for estimating metres. 

Small juice can. 

Paper cup or tea 

cup . 

Soft drink can. 

Estimate 

(ml) 

How Close 

Measurement Were You? 

(ml) 

4. Bottle. 

IV. THE CUBIC METRE (m3 ) 

A. DEVELOP A FEELING FOR A CUBIC METRE 

1. Place a one metre square on the floor next to the wall. 

2. Measure a metre UP the wall. 

3. Picture a box that would fit into that space. 

THAT IS THE VOLUME OF ONE CUBIC METRE! 

B. DEVELOP YOUR ABILITY TO ESTIMATE IN CUBIC METRES 

For each of the following items, follow the estimating procedures used before. 

1. Office desk. 

2. File cabinet. 

3. Small room. 

How Close 

Measurement Were You? 

(m3) 

Exercise3 
MASS (WEIGHT) MEASUREMENT ACTIVITIES 

Kilogram, Gram 

The mass of an object is a measure of the amount of matter in the 

object. This amount is always the same unless you add or subtract some 

matter from the object. Weight is the term that most people use when 

they mean mass. The weight of an object is affected by gravity; the 

mass of an object is not. For example, the weight of a person on earth 

might be 120 pounds; that same person's weight on the moon would be 

20 pounds. This difference is because the pull of gravity on the moon 

is less than the pull of gravity on earth. A person's mass on the earth 

and on the moon would be the same. The metric system does not 

measure weight--it measures mass. We will use the term mass here. 

The symbol for gram is g. 

The symbol for kilogram is kg. 

There are 1 000 grams in one kilogram, or 1 000 g = 1 kg. 

Half a kilogram can be written as 500 g,or 0.5 kg. 

A quarter of a kilogram can be written as 250 g,or 0.25 kg. 

Two and three-fourths kilograms is written as 2.75 kg. 

I. THE KILOGRAM (kg) 

DEVELOP A FEELING FOR THE MASS OF A KILOGRAM 

Using a balance or scale, find the mass of the items on the table. 

Before you find the mass, notice how heavy the object "feels" 

and compare it to the reading on the scale or balance. 

a::3'£NTER '0R VOCAnoN~ <DUCATOO. 

Mass 

(kg) 

1. 1 kilogram box. 

2. Textbook. 

3. Bag of sugar. 

4. Package of paper. 

5. Your own mass. 

B. DEVELOP YOUR ABILITY TO ESTIMATE IN KILOGRAMS 

1. 

2. 

3. 

4. 

5. 

For the following items ESTIMATE the mass of the object in 

kilograms, then use the scale or balance to find the exact mass 

of the object. Write the exact mass in the l\1EASUREl\1ENT 

column. Determine how close your estimate is: 

Estimate 

(kg) 

Bag of rice. 

Bag of nails. 

Large purse or 

briefcase. 

Another person. 

A few books. 

:Measurement 

(kg) 

How Close 

Were You? 

Exercise 4 

(continued on next page) 

9 
10 

II. THE GRAM (g) 

A. DEVELOP A FEELING FOR A GRA.l\1 

1. Take a colored plastic cube. Hold it in your hand. 

2. 

Shake the cube in your palm as if shaking dice. Feel the 

pressure on your hand when the cube is in motion, then 

when it is not in motion. 

THAT IS HOW HEAVY A GRAM IS! 

Take a second cube artd attach it to the first. Shake the 

cubes in first one hand and then the other hand; rest 

the cubes near the tips of your fingers, moving your 

hand up and down. 

THAT IS THE MASS OF TWO GRAMS! 

3. Take five cubes in one hand and shake them around. 

THAT IS THE MASS OF FIVE GRAMS! 

~NT<R "'" VOCATOONAC <OUCATOON 

B. DEVELOP YOUR ABILITY TO ESTIMATE IN GRAMS 

1. 

2. 

3. 

4. 

5. 

6. 

You are now ready to improve your ability to estimate in 

grams. Remember how heavy the 1 gram cube is, how heavy 

the two gram cubes are, and how heavy the five gram cubes 

are . For each of the following items, follow the procedures 

used for estimating in kilograms. 

Two thumbtacks. 

Pencil. 

Two-page letter 

and envelope. 

Nickel. 

Apple. 

Package of 

margarine. 

Estimate 

(g) 

:Measurement 

(g) 

How Close 

Were You? 

Exercise 4 
TEMPERATURE MEASUREMENT ACTIVITIES 

Degree Celsius 

I. DEGREE CELSIUS tC) 

Degree Celsius tc) is the metric measure for temperature. 

A. DEVELOP A FEELING FOR DEGREE CELSIUS 

Take a Celsius thermometer. Look at the marks on it. 

1. 

2. 

3. 

4. 

5. 

Find 0 degrees. 

WATER FREEZES AT ZERO DEGREES CELSIUS (0°C) 

WATER BOILS AT 100 DEGREES CELSIUS (100°C) 

Find the temperature of the room. ___ °C. Is the 

room cool, warm, or about right? 

Put some hot water from the faucet into a container. 

Find the temperature. °C. Dip your finger 

quickly in and out of the water. Is the water very hot, 

hot, or just warm? 

Put some cold water in a container with a thermometer. 

Find the temperature. °C. Dip your finger into 

the water. Is it cool, cold, or very cold? 

Bend your arm with the inside of your elbow around the 

bottom of the thermometer. After about three minutes 

find the temperature. ° C. Your skin temperature is not as high as your body temperature. 

NORMAL BODY TE:MPERATURE IS 37 DEGREES 

CELSIUS (37°C). 

A FEVER IS 39°C. 

A VERY HIGH FEVER IS 40°C. 

B. DEVELOP YOUR ABILITY TO ESTil\lA..TE IN DEGREES 

CELSIUS 

11 

For each item, ESTIMATE and write down how many degrees 

Celsius you think it is. Then measure and write the MEASUREMENT. See how close your estimates and actual measure1. 

2. 

3. 

4. 

0. 

ments are. 

Mix some hot and 

cold water in a 

container. Dip your 

finger into the 

water. 

Pour out some of 

the water. Add some 

hot water. Dip your 

finger quickly into 

the water. 

Outdoor temperature. 

Sunny window sill. 

1\fix. of ice and water. 

6. Temperature at 

floor. 

7. Temperature at 

ceiling. 

Estimate 

tc) 

How Close 

l\ifeasurement Were You? 

(OC) 

Exercise 5 
12 

UNIT 2 

OBJECTIVES 

The student will recognize and use the metric 

terms, units, and symbols used in this occupation. 

• 

• 

Given a metric unit, state its use in this 

occupation. 

Given a measurement task in this occupation, select the appropriate metric unit 

and measurement tool. 

SUGGESTED TEACHING SEQUENCE 

1. Assemble metric measurement tools (rules, 

tapes, scales, thermometers, etc.) and 

objects related to this occupation. 

2. Discuss with students how to read the 

tools. 

3. Present and have students discuss 

Information Sheet 2 and Table 2. 

4. Have students learn occupationallyrelated metric measurements by completing Exercises 6 and 7. 

5. Test performance by using Section A of 

"Testing Metric Abilities." 

a3 CENTER ""' VOCATK>NAL '0UCATOON 

METRICS IN THIS OCCUPATION 

Changeover to the metric system is under way. Large corporations are already using 

metric measurement to compete in the world market. The metric system has been used in 

various parts of industrial and scientific communities for years. Legislation, passed in 

1975, authorizes an orderly transition to use of the metric system. As businesses and 

industries make this metric changeover, employees will need to use metric measurement 

in job-related tasks. 

Table 2 lists those metric terms which are most commonly used in this occupation. 

These terms are replacing the measurement units used currently . What kinds of jobrelated tasks use measurement? Think of the many different kinds of measurements you 

now make and use Table 2 to discuss the metric terms which replace them. See if you 

can add to the list of uses beside each metric term . 

Information Sheet 2 
13 

METRIC UNITS FOR AUTO MECHANICS 

Quantity Unit Symbol Use 

Length millimetre mm shaft size, length 

centimetre em bearing sizes 

Area square centimetre cm2 piston head surface 

Volume/capacity cubic centimetre cm3 cylinder bore 

cubic metre m3 work or storage space 

millilitre ml chemicals, lubricant oils 

litre l oil, fuel, gasoline storage 

Temperature degree Celsius oc thermostats, engine operating 

temperature ranges, oil temperat ure

Mass gram g tire weights 

kilogram kg batteries, engines 

metric ton t vehicles, load weights 

--

Bending moment newton metre N·m torque specifications (moment of force) 

Pressure/vacuum kilo pascal kPa manifold pressure compression, 

air hose pressure 

Velocity kilometres per hour km/h speed of the vehicle 

*Energy /work kilowatt-hour kW·h work efficiency of an engine 

*Note: Further metric definitions for mechanics are found in Rules for SAE Use of SI (Metric) Units, Society of Automotive Engineers, Inc. 

Available: Society of Automotive Engineers, Inc., 400 Commonwealth Dr., Warrendale, PA 15096. 

Table 2 
14 

TRYING OUT METRIC UNITS 

To give you practice with metric units, first estimate the measure- Estimate Actual 

ments of the items below. Write down your best guess next to the item. 

Then actually measure the item and write down your answers using the 16. Measuring cup (metric) 

correct metric symbols. The more you practice, the easier it will be. 

17. Milk container 

Estimate Actual 

18. Can of oil 

Length 19. Bucket 1. Palm width 

2. Hand span 

20. Small box or package 

3. Your height 21. Tool chest 

4. Ceiling height of this room 22. Gasoline can 

5. Width of a paper clip Mass 

6. Thickness of a nickel 23 . Textbook 

7. Length of a valve stem 24. Nickel 

8 . Width of this room 25 . Yourself 

9. Diameter of a piston head 26 . Paper clip 

Area 27. A litre of water (net) 

10. Desk top 28. A quantity of oil 

11. Classroom floor 

12. Workbench Temperature 

29. Room 

13. Sheet of paper 30. Outside 

14. Parking space 31. Hot tap water 

Volume/Capacity 32. Ice water 15. Small bottle 

~<NTEA O'OA VOCATIONAL EOUCATOON Exercise 6 
15 

KEEP IT RUNNING WITH METRICS 

It is important to know what metric measurement to use. Show 

what measurement to use in the following situations. 18. Diameter of a piston head 

1. The stroke of a piston 19. Distance from shop or store 

to your home 

2. Length of the fuel line 20. Length of positive battery cable 

3. Length of a fanbelt 

4 . Diameter of a cam shaft 

5. Volume of a fuel tank 

6. Capacity of an acetylene cylinder 

7. Amount of water in a radiator 

8. Mass of battery fluid in a 12-

volt battery 

9. Tire pressure for automobile Dl I I I I 1r 

..) 10. Crankshaft main journal size 

,;:;: ~ 

11. Bore of a cylinder UI TJJ 

12. Volume of oil for crank case ~ [J "-- _,) 13. Capacity of a radiator 

-

.C0 14. Temperature of cooling system t---

while idling engine ....... t---

15. Mass of small engine r-----

16. Length of exhaust pipe 

17. Spark plug gap 

~ENT<R FOR VOCATOONAL EDUCATOON Exercise 7 
16 

UNIT3 

OBJECTIVE 

The student will recognize and use metric equivalents. 

• Given a metric unit, state an equivalent 

in a larger or smaller metric unit. 

SUGGESTED TEACHING SEQUENCE 

1. Make available the Information Sheets 

( 3 - 8) and the associated Exercises 

(8 - 14), one at a time . 

2. As soon as you have presented the 

Information, have the students complete 

each Exercise. 

3. Check their answers on the page titled 

ANSWERS TO EXERCISES AND 

TEST. 

4. Test performance by using Section B of 

"Testing Metric Abilities." 

a3 COITER ""'VOCATOONA< '0UCATOON 

METRIC-METRIC EQUIVALENTS 

Centimetres and Millimetres 

( rm1

m'l""'ll''l'''''''"l'''''''''l''''''ll'l''lll''lll''lll 

1 2 3 4 5 6 

(]IIIIJillljlllljlllljlllljlllljlllljlllljlllljlllljlllljlllljlllljlll 

I I 1 2 3 4 5 6 

Look at the picture of the nail next to the ruler. The nail is 57 mm long. This is 5 em+ 7 mm. 

There are 10 mm in each em, so 1 mm = 0.1 em (one-tenth of a centimetre). This means that 

7 mm = 0.7 em, so 57 mm 5 em+ 7 mm 

5 em+ 0.7 em 

= 5.7 em. Therefore 57 mm is the same as 5.7 em. 

Now measure the paper clip. It is 34 mm. This is the same .as 3 em+ mm. Since each 

millimetre is 0.1 em (one-tenth of a centimetre), 4 mm = em. So, the paper clip is 

34mm = 3cm+4mm 

3 em+ 0.4 em 

= 3.4 em. This means that 34 mm is the same as 3.4 em. 

Information Sheet 3 

Now you try some. 

a ) 26mm= em e ) 132mm = em 

b) 583 mm::: em f ) 802mm = em 

c ) 94mm= em g ) 1400 mm = em 

d) 680 mm = em h) 2 307 mm em 

Exercise 8 
Metres, Centimetres, and Millimetres 

There are 100 centimetres in one metre. Thus, 

2m = 2 x 100 em = 200 em, 

3m = 3 x 100 em = 300 em, 

8 m = 8 x 1 00 em = 800 em, 

36 m = 36 x 1 00 em = 3 600 em. 

There are 1 000 millimetres in one metre, so 

2 m = 2 x 1 000 mm = 2 000 mm, 

3 m = 3 x 1 000 mm = 3 000 mm, 

6 m = 6 x 1 000 mm = 6 000 mm, 

24m = 24 x 1 000 mm = 24 000 mm. 

From your work with decimals you should know that 

one-half of a metre can be written 0.5 m (five-tenths of a metre), 

one-fourth of a centimetre can be written 0.25 em 

(twenty-five hundredths of a centimetre). 

This means that if you want to change three-fourths of a metre to 

millimetres, you would multiply by 1 000. So 

0.75 m = 0.75 x 1 000 mm 

75 

100 x 1 000 mm 

1 000 

75 x 100 mm 

75 x 10 mm 

750 mm. This means that 0.75 m = 750 mm. 

Information Sheet 4 

Fill in the following chart. 

metre centimetre millimetre 

m ern mm 

1 100 1 000 

2 200 

3 

9 

5 000 

74 

0.8 80 

0.6 600 

2.5 25 

1-!8 

639 

~ENUR 'OR VOCATOONAL EOUCATOON 

Exercise 9 

Millilitres to Litres 

There are 1 000 millilitres in one litre. This means that 

2 000 millilitres is the same as 2 litres. 

3 000 ml is the same as 3 litres, 

-l 000 ml is the same as -! litres, 

12 000 ml is the same as 12 litres. 

17 

Since there are 1 000 millilitres in each litre, one way to change milli· 

litres to litres is to divide by 1 000. For example, 

1 000 

Or 

1 000 ml = 1 000 litre = 1 litre. 

2 000 2 000 ml = 1 000 litres = 2 litres. 

And, as a final example, 

28 000 

28 000 ml = 1 OOO litres = 28 litres. 

What if something holds 500 ml? How many litres is this? This is 

worked the same way. 

500 ml = 1 ~~~litre = 0.5 litre (five-tenths of a litre ). So 500 ml 

is the same as one-half (0 .5) of a litre. 

Change 57 millilitres to litres. 

57 rnl = 1 og~ litre = 0.057 litre (fifty-seven thousandths of a 

litre). 

Information Sheet 5 

Now you try some. Complete the following chart. 

millilitres litres 

(ml) (I) 

3 000 3 

6 000 

8 

1-l 000 

23 

300. 0 .3 

700 

0.9 

250 

0.-!7 

275 

Exercise 10 
18 

Li tres to M illili tres 

What do you do if you need to change litres to millilitres? Remember, 

there are 1 000 mil!ilitres in one litre, or 1 litre = 1 000 ml. 

So, 

2 litres = 2 x 1 000 ml = 2 000 ml, 

7 litres = 7 x 1 000 ml = 7 000 ml. 

13 litres =1 3 x 1 000 ml =13 000 ml, 

0.65 litre = 0.65 x 1 000 ml = 650 mi. 

Now you try some. Complete the following chart. 

litres millilitres 

I ml 

8 8 000 

5 

46 

32 000 

0.4 

0.53 

480 

Grams to Kilograms 

Information Sheet 6 

Exercise 11 

There are 1 000 grams in one kilogram. This means that 

2 000 grams is the same as 2 kilograms, 

5 000 g is the same as 5 kg, 

700 g is the same as 0.7 kg, and so on. 

To change from grams to kilograms, you use the same procedure for 

changing from millilitres to litres. 

Information Sheet 7 

Try the following ones. 

grams kilograms 

g kg 

4 000 4 

9000 

23 000 

8 

300 

275 Exercise 12 

Kilograms to Grams 

To change kilograms to grams, you multiply by 1 000. 

-l kg = -l X 1 000 g = -! 000 g, 

23 kg = 23 X 1 000 g = 23 000 g, 

0.75kg= 0.75x1 000g = 750g. 

Information Sheet 8 

Complete the following chart. 

kilograms grams 

kg g 

7 7 000 

11 

25 000 

0.4 

0.63 

175 Exercise 13 

Changing Units at Work 

Some of the things you use in this occupation may be measured in 

different metric units. Practice changing each of the following to 

metric equivalents by completing these statements. 

a ) 50 em of hose is------------- m 

b ) 250 ml of solution is l 

c ) 5 em diameter hose is ___________ mm 

d ) 2 500 g of grease is kg 

e ) 120 mm of bar steel is em 

f ) 0.25 litre of motor oil is ml 

g ) 2 000 kg of sand is t 

h ) 0.5 litre of concentrate is ml 

i ) 500 g of solder is kg 

j ) 500 ml of brake fluid is 1 

k ) 0.5 t of floor sweep is kg 

l ) 10 m of wire is em 

m) 2.5 em diamter pipe is mm 

n ) 2 400 mm wall panel length is em 

Exercise 14 
UNIT 

OBJECTIVE 

The student will recgonize and use 

instruments, tools, and devices for measurement tasks in this occupation. 

• Given metric and Customary tools, 

instruments, or devices, differentiate 

between metric and Customary. 

• Given a measurement task, select 

and use an appropriate tool, instrument or device. 

• Given a metric measurement task, 

judge the metric quantity within 20% 

and measure within 2% accuracy. 

SUGGESTED TEACHING SEQUENCE 

1. Assemble metric and Customary measuring tools and devices (rules, scales, ° C 

thermometer, drill bits, wrenches, micrometer, vernier calipers, feeler gages) 

and display in separate groups at learning 

stations. 

2. Have students examine metric tools and 

instruments for distinguishing characteristics and compare them with Customary 

tools and instruments. 

3. Have students verbally describe characteristics. 

4. Present or make available Information 

Sheet 9. 

5. Mix metric and Customary tools or 

equipment at learning station. Give 

students Exercises 15 and 16. 

6. Test performance by using Section C 

of "Testing Metric Abilities." OO·NT·R •OR VOCATOON= <OUCATOON 

SELECTING AND USING 

METRIC INSTRUMENTS , TOOLS AND DEVICE-S 

Selecting an improper tool or misreading a scale can result in an improper sales form, 

damaged materials, or injury to self or fellow workers. For example, putting 207 pounds per 

square inch of pressure (psi} in a tractor tire designed for 207 kilopascals (about 30 psi) coulrl 

cause a fatal accident. Here are some suggestions: 

1. Find out in advance whether Customary or metric units, tools, instruments, or products are needed for a given task. 

2. Examine the tool or instrument before using it. 

19 

3. The metric system is a decimal system. Look for units marked off in whole numbers, 

tens or tenths, hundreds or hundredths. 

4. Look for metric symbols on the tools or gages such as m, mm, kg, g, kPa, etc. 

5. Look for decimal fractions (0.25) or decimal mixed fractions (2.50) rather than common fractions ( 3/8) on drill bits, feeler gages, etc. 

6. Some products may have a special metric symbol such as a block M to show they are 

metric. 

7. Don't force bolts, wrenches, or other devices which are not fitting properly. 

8. Practice selecting and using tools, instruments, and devices. 

Information Sheet 9 
20 

WHICH TOOLS FOR THE JOB? 

Practice and prepare to demonstrate your ability to identify, 

select, and use metric-scaled tools and instruments for the tasks given 

below. You should be able to use the measurement tools to the appropriate precision of the tool, instrument, or task. 

Select and demonstrate or describe use of tools, instruments, or 

devices to: 

1. Determine the necessary shop floor space to park a 

conventional size automobile. 

2. Replace water pump and heater hoses. 

3. Determine the free-travel in the clutch pedal. 

4. Measure fuel pump pressure. 

5. Perform a compression test on an engine. 

6. Pull the head of an engine, replace head gasket, and 

replace head. 

7. Adjust valve settings. 

8. Describe the difference between a Customary and 

a metric crescent wrench. 

9. Replace brake lines. 

10. Renew an exhaust system. 

a:3'ENTER H>R VOCATOONAL ";.>CATOON 

Exercise 15 

MEASURING UP IN AUTO MECHANICS 

For the tasks below, estimate the metric measurement to 

within 20% of actual measurement, and verify the estimation 

by measuring to within 2% of actual measurement. 

Estimate Verify 

1. Work space or bench large 

enough to work on engine 

of automobile. 

2. Volume of tool box. 

3. Floor area of classroom or 

work space. 

4. Find the largest available 

entry into classroom. 

5. Volume of an engine cylinder. 

6. A fuel line requires 600 mm of 

tubing. From several cut pieces, 

select the piece for the job with 

the least waste. 

7. Select new bearing to fit a 

crankshaft. 

8. Select the amount of fluid for 

brake master cylinder. 

9. Change the spark plugs. 

10. Select the amount of oil for 

a complete oil change. 

Exercise 16 

-
UNIT 5 

OBJECTIVE 

The student will recognize and use metric 

and Customary units interchangeably in ordering, selling, and using products and supplies in 

this occupation. 

• Given a Customary (or metric) measurement, find the metric (or Customary) 

equivalent on a conversion table. 

• Given a Customary unit, state the replacement unit. 

SUGGESTED TEACHING SEQUENCE 

1. Assemble packages and containers of 

materials. 

2. 

3. 

4. 

Present or make available Information 

Sheet 10 and Table 3. 

Have students find approximate metricCustomary equivalents by using 

Exercise 17 . 

Test performance by using Section D of 

"Testing Metric Abilities." 

o:::7·~<R '0R VOCATOONAC <OUCMOON 

~----------------------------------------------------------------

METRIC-CUSTOMARY EQUIVALENTS 

During the transition period there will be a need for finding equivalents between systems. 

Conversion tables list calculated equivalents between the two systems. When a close equivalent 

is needed, a conversion table can be used to find it. Follow these steps: 

1. Determine which conversion table is needed. 

21 

2. Look up the known number in the appropriate column; if not listed, find numbers you 

can add together to make the total of the known number. 

3. Read the equivalent(s) from the next column. 

Table 3 on the next page gives an example of a metric-Customary conversion table which 

you can use for practice in finding approximate equivalents. Table 3 can be used with Exercise 

17, Part 2 and Part 3. 

Below is a table of metric-Customary equivalents which tells you what the metric replacements for Customary units are.* This table can be used with Exercise 17, Part 1 and Part 3. The 

symbol ~ means "nearly equal to." 

1 em ~ 0.39 inch 

1 m ~ 3.28 feet 

1m~ 1.09 yards 

1 km ~ 0.62 mile 

1 cm2 ~ 0.16 sq in 

1 m2 ~ 10.8 sq ft 

1 m2 ~ 1.2 sq yd 

1 hectare ~ 2.5 acres 

1 inch ~ 2.54 em 

1 foot ~ 0.305 m 

1 yard~ 0.91 m 

1 mile ~ 1.61 km 

1 sq in~ 6 .5 cm2 

1 sq ft ~ 0.09 m2 

1 sq yd ~ 0.8 m 2 

1 acre~ 0.4 hectare 

1 cu in~ 16.4 cm3 

1 ml ~ 0.2 tsp 

1 ml ~ 0.07 tbsp 

11 ~ 33.8 fl oz 

11 ~ 4.2 cups 

11 ~ 2.1 pts 

11 ~ 1.06 qt 

11 ~ 0.26 gal 

1 gram ~ 0.035 oz 

1 kg~ 2.2 lb 

1 tsp ~ 5 ml 

1 tbsp ~ 15 ml 

1 fl oz ~ 29.6 ml 

1 cup~ 237 ml 

1 pt ~ 0.47 I 

1 qt ~ 0.95 I 

1gal~3.79l 

1 oz ~ 28.3 g 

1 cm 1 lb ~ 0.45 kg 3 ~ 0.06 cu in 

1 m 3 ~ 35.3 cu ft 

1m3 ~ 1.3 cu yd 

1 cu ft ~ 0.03 m 3 

1 cu yd ~ 0.8 m3 

1 metric ton ~ 2205 lb 

1 kPa ~ 0.145 psi 

1 ton ~ 907.2 kg 

1 psi ~ 6.895 kPa 

*Adapted from Let's Measure Metric. A Teacher's Introduction to Metric Afeasurement. Division of Educational 

Redesign and Renewal, Ohio Department of Education, 65 S. Front Street, Columbus, OH 43215. 197 5. 

Information Sheet 10 
22 

CONVERSION TABLES 

MILLIMETRES TO INCHES 

mm Inches mm Inches mm Inches mm Inches 

100 3.93 10 0.39 1 0.04 0.1 0.004 

200 7.87 20 0.79 2 0.08 0.2 0.008 

300 11.81 30 1.18 3 0.12 0.3 0.012 

400 15.74 40 1.57 4 0.16 0.4 0.016 

500 19.68 50 1.97 5 0.20 0.5 0.020 

600 23.62 60 2.36 6 0.24 0.6 0.024 

700 27.56 70 2.76 7 0.28 0.7 0.028 

800 31.50 80 3.15 8 0.31 0.8 0.031 

900 35.43 90 3.54 9 0.35 0.9 0.035 

1 000 mm or 1 metre = 39.37 inches 

INCHES TO MILLIMETRES 

Inches mm Inches mm Inches mm Inches mm 

1 25.4 0.1 2.54 .01 0.25 .001 0.03 

2 50.8 0.2 5.08 .02 0.51 .002 0.05 

3 76.2 0.3 7.62 .03 0.76 .003 0.08 

4 101.6 0.4 10.16 .04 1.02 .004 0.10 

5 127.0 0.5 12.70 .05 1.27 .005 0.13 

6 152.4 0.6 15.24 .06 1.52 .006 0.15 

7 177.8 0.7 17.78 .07 1.78 .007 0.18 

8 203.2 0.8 20.32 .08 2.03 .008 0.20 

9 228.6 0.9 22.86 .09 2.29 .009 0.23 

10 inches = 254 mm 

12 inches or 1 feet = 304.8 mm or 30.48 em 

a:3'BmR O'OR VOCAnONAC 'DUCATOON Table 3 
23 

ANY WAY YOU WANT IT 

1. You are working in a repair shop or auto parts house. With the 

change to metric measurement some of the things you order, sell g ) om~ in. = mm i ) 250mm = in. 

or use are marked only in metric units. You will need to be h) 152mm = in. 

familiar with appropriate Customary equivalents in order to 

j. ) 1 000 rom= in. 

communicate with customers and suppliers who use Customary 

units. To develop your skill use the Table on Information Sheet 3. Complete the Requisition Form using the items listed. Convert 10 and give the approximate metric quantity (both number and 

unit) for each of the following Customary quantities. the Customary quantities to metric before filling out the form. 

Complete all the information (Date, For, Job No., etc.). 

Customary Quantity Metric Quantity Requisition one of each of the following: 

a ) 2 lbs. of heavy lube 

b ) 4 qts. of brake fluid a ) 25ft. of 5/16 in. fluid hose 

b) 12 fl. oz. spray can of paint 

c ) 3/4 in. pipe c ) 5 lb. spool of 50/50 solder 

d ) 10 lbs. of sawdust d) 1 ft. by 2 ft. piece of gasket material 

~ ) 1 gal. of parts cleaning solvent 

e ) 18 in. bar steel 

f ) two-gallon can REQUISITION 

g ) 30 ft. of air hose Date 

h ) 4 fl. oz. of additive For 

i ) two-mile distance 

j ) 2 in. bolt Job No. Date Wanted 

k ) 2 fl. oz. of silicone spray Deliver to 

l ) llb. of hand cleaner 

m) 1 gal. of solvent QTY UNIT ITEM 

n ) 1ft. length of hose 

o ) 1/4 in. drill bit 

2. Use the conversion tables from Table 3 to convert the following: 

a ) 254mm = in. d ) 2.25 in. = rom Requested by 

b) 0.025 in. = rom e ) 0.25 in. = rom Approved by 

c ) 7.1 rom = in. f ) 10 in. = rom a:3 CENTER FCR VOCATK>NAL EDUCATION Exercise 17 
24 

SECfiON A 

1. One kilogram is about the mass 

of a: 

(A] nickel 

[ B I apple seed 

[ C] basketball 

[D] Volkswagen "Beetle" 

2. A square metre is about the 

area of: 

[A] this sheet of paper 

( B I a card table top 

[ C] a bedspread 

[D] a postage stamp 

3. Fuel pump pressures of automobile 

engines are normally given in: 

[A ] kilometres 

(B] grams per cubic centimetre 

( C ] kilo pascals 

[D] kilolitres 

4. Torque pressure is measured in: 

[A] newton metres 

[B] kilopascals 

[ C I grams per metre 

[D] centimetres 

5. The correct way to write twenty 

grams is: 

[A] 20 gms 

[B] 20Gm. 

[CI 20 g. 

[D] 20 g 

6. The correct way to write twelve 

thousand millimetres is: 

[A] 12.000 mm. 

[BI 12.000 mm 

[C] 12 OOOmm 

[D] 12 000 mm 

SECTION B 

7. A part 20 centimetres long also 

has a length of: 

[A] 2 000 millimetres 

[B] 200 millimetres 

[C] 2 millimetres 

[D] 0.2 millimetre 

8. Seven hundred fifty grams of 

heavy gear lube is the same as: 

[A] 0 .75 kilogram 

[B] 7 50 000 kilograms 

[C] 7 500 kilograms 

[ D ] 7. 5 kilograms 

SECTION C 

9 . For measuring in millimetres you 

would use a: 

[A] container 

[B] pressure gage 

[C] rule 

[D] scale 

10. For measuring kilopascals you 

would use a: 

[A ] pressure gage 

[B] rule 

[C] scale 

[D] container 

11 . Estimate the length of the line 

segment below: 

[A] 23 grams 

[BI 6 centimetres 

[C] 40 millimetres 

[D] 14 pascals 

12. Estimate the length of the line 

segment below: 

f-------1 

[A] 10 millimetres 

[B] 4 centimetres 

[C] 4 pascals 

[D] 23 milligrams 

SECTION D 

13. The metric unit for liquid measure 

which replaces the fluid ounce is: 

[A] hectare 

[B] millilitre 

[C] litre 

[D] gram 

14. The metric unit for liquid measure 

which replaces the gallon is: 

[A] gram 

[ B ] kilogram 

[ C ] kilo litre 

[D] litre 

mm 

100 

200 

300 

400 

500 

600 

700 

800 

900 

Use this conversion table to answer questions 15 and 16. 

in. mm in. 

3.94 10 0.39 

7.87 20 0.79 

11.81 30 1.18 

15.74 40 1.57 

19.68 50 1.97 

23.62 60 2.36 

27.56 70 2.76 

31.50 80 3.15 

35.43 90 3.54 

15. The equivalent of 610 mm is: 

[A] 61 in. 

[B] 24.01 in. 

[C] 6 .10 in. 

[D] 30in. 

16. The equivalent of 460 mm is: 

[A] 12.34 in. 

[B] 24.00 in. 

[C] 11.41 in. 

[D] 18.10 in. 

~'"'"'" '

00 

vocATOONAHD<>CATOON TESTING METRIC ABILITIES 

I 
ANSWERS TO EXERCISES AND TEST 

EXERCISES 1 THRU 6 

The answers depend on the items 

used for the activities. 

EXERCISE 7 

Currently accepted metric units of 

measurement for each question are 

shown in Table 2. Standards in each 

occupation are being established 

now. so answers may vary. 

EXERCISE 8 

a) 2.6 em 

b) 58.3 em 

c) 9.4 em 

d) 68.0 em 

e) 13.2 em 

f) 80.2 em 

g) 140.0 em 

h) 230.7cm 

EXERCISES 9 THRU 13 

Tables are reproduced in total. Answers are in parentheses. 

Exercise 9 

metre centimetre millimetre 

m em mm 

1 100 1 000 

2 200 (2 000) 

3 (300) (3 000) 

9 (900) (9 000) 

(5) (500) 5 000 

7-! (7 400) (74000) 

0.8 80 (800)_ 

0.6 ( 60) 600 

(0.025) 2.5 25 

(0.1-!8) (14.8) 148 

(6.39) 639 (6 390) 

o:3'"mR 'OR VOCATOONAC <OUCAT>ON 

Exercise 10 

millilitres 

ml 

3 000 

6 000 

(8 000) 

(14 000) 

(23 000) 

300 

700 

(900) 

250 

(470) 

275 

Exercise 11 

litres 

l 

8 

5 

46 

(32) 

0.4 

0.53 

(0.48) 

Exerdse 12 

grams 

g 

-! 000 

9 000 

23 000 

(8 000) 

300 

275 

litres 

l 

3 

(6) 

8 

(14) 

23 

0.3 

(0.7) 

0.9 

(0.25T 

0.47 

(0.275) 

millilitres 

ml 

8 000 

(5 000) 

(46 000) 

32 000 

(400) 

(530) 

480 

kilograms 

kg 

4 

(9) 

(23) 

8 

(0.3 ) 

(0.27 5) 

Exercise 13 

kilograms I grams 

kg g 

7 7 000 

11 (11 000) 

(25) 25 000 

0.4 (400) 

0.63 (630) 

(0 .175 ) 175 

Exercise 14 

a ) 0.5 m h) 500 ml 

b) 0.25 litre i ) 0.5 kg 

e ) 50mm j ) 0.5 litre 

d) 2.5 kg k) 500 kg 

e ) 12 em l ) 1 000 em 

f ) 250 ml m) 25mm 

g } 2t n) 240 em 

EXERCISES 15 AND 16 

The answers depend on the 

items used for the activities. 

EXERCISE 17 

Part 1. 

a ) 0.9 kg i ) 3.22 km 

b) 3.8 litres j ) 5.08 em 

e ) 1.905 em k) 59.2 ml 

d) 4.5 kg l ) 0.45 kg 

e ) 45.72 em m) 3.79 litres 

f ) 7.58 litres n) 0.305 m 

g ) 9.15m 0) 0.635 em 

h) 118.4 ml 

25 

Part 2. 

a ) 10.00 in. f ) 254mm 

b ) 0.64 mm g ) 0.20mm 

e ) 0.284 in. h) 5.98 in. 

d) 57.15 mm ) 9 .84 in. 

e ) 6.35 mm j ) 39.37 in. 

Part 3. 

a ) 7.625 m of .794 em 

b) 355.2 ml 

e ) 2.25 kg 

d ) 0.305 m by 0.61 m 

e ) 3.79 litres 

TESTING METRIC ABILITIES 

1. c 9. c 

2. B 10. A 

3. c 11. B 

4. A 12. A 

5. D 13. B 

6. D 14. D 

7. B 15. B 

8. A 16. D 

U. S. GOVERNMENT PRINTING OFFICE: 1976- 757-069/6207 Region No. 5- 11