conversion of units

1. Converts measurements from one unit to another unit
in both English and Metric Systems (M7ME-IIb-1)
Solves problems involving conversion of units of
measurements (M7ME-IIb-2)
MATHEMATICS 7
CONVERSION OF UNITS
Learning Competency

2. 2
OBJECTIVES
1. convert unit from English to English, from
metric to metric
2. change one unit of measure from English
system to Metric system and vice versa;
and
3. solve problems involving units of
measurement.

3. 3
1. WHAT ARE THE NON-STANDARD
MEASUREMENT?
2. WHAT ARE THE ENGLISH SYSTEM OF
MEASUREMENT AND THEIR SYMBOLS?
3. HOW MANY BASIC UNITS IN THE METRIC
SYSTEM DO WE HAVE? WHAT ARE THEY?
LET’S RECALL OUR LESSON BY ANSWERING THE
FOLLOWING QUESTIONS.

4. 4
WHAT ARE THE THINGS TO REMEMBER
IN COVERTING UNITS OF MEASUREMENT?
To convert
measurements from a
larger unit to a smaller
unit, use
Multiplication
To convert
measurements
from smaller to a
larger unit, use
Division

5. “
5
ENGLISH SYSTEM OF MEASURMENTS
MEASURE OF LENGTH
12 Inches (in) = 1 foot
3 feet (ft) = 1 yard
5.5 yards (yd) = 1 rod
40 rods (rd) = 1 furlong
8 furlongs (fur) = 1 statute mile
5,280 feet (ft) = 1 statute mile
6,080.2 feet (ft) = 1 nautical mile

6. “
6
ENGLISH SYSTEM OF MEASURMENTS
MEASURE OF WEIGHT
27.3438 grains = 1 dram
16 drams (dr) = 1 ounce
16 ounces (oz.) =1 pound
28 pounds (lbs) = 1 quarter
4 quarters (qt) = 1 hundred weight
2000 pounds (lbs) = 1 short ton (ST)
2,240 pouns (lbs) = 1 long ton (LT)

7. “
7
ENGLISH SYSTEM OF MEASURMENTS
MEASURE OF VOLUME
4 gills (gi) = 1 pint
2 pints (pt) = 1 quart
4 quarts (qt) = 1 gallon
31.5 gallons (gal) = 1 barrel
2 barrels = 1 hogshead

8. 8
CONVERSION OF UNITS FROM
ENGLISH TO ENGLISH
Example 1:
Convert 36 inches into feet:
Solution:
Note: the conversion is from smaller unit to larger unit.
36 inches = ? Feet
Solution:
𝟑𝟔 𝒊𝒏𝒄𝒉𝒆𝒔 ×
𝟏 𝒇𝒐𝒐𝒕
𝟏𝟐 𝒊𝒏𝒄𝒉𝒆𝒔
= 𝟑 𝒇𝒆𝒆𝒕 (𝒇𝒕)

9. 9
CONVERSION OF UNITS FROM
ENGLISH TO ENGLISH
Example 2:
Convert 2 miles into inches
Solution:
Note: the conversion is form larger unit to smaller unit.
2 miles = ? Inches
Solution:
𝟐 𝒎𝒊𝒍𝒆𝒔 ×
𝟓, 𝟐𝟖𝟎 𝒇𝒆𝒆𝒕
𝟏 𝒎𝒊𝒍𝒆
×
𝟏𝟐 𝒊𝒏𝒄𝒉𝒆𝒔
𝟏 𝒇𝒐𝒐𝒕
=
𝟐 × 𝟓, 𝟐𝟖𝟎 × 𝟏𝟐
𝟏 × 𝟏
𝒊𝒏𝒄𝒉𝒆𝒔 = 𝟏𝟐𝟔, 𝟕𝟐𝟎 𝒊𝒏𝒄𝒉𝒆𝒔

10. 10
CONVERSION OF UNITS FROM
ENGLISH TO ENGLISH
Example 2:
Convert 130 yards into inches
Solution:
Note: the conversion is form larger unit to smaller unit.
130 yards (yd) = ? Inches
Solution:
130 yards×
𝟑 𝒇𝒆𝒆𝒕
𝟏 𝒚𝒂𝒓𝒅
×
𝟏𝟐 𝒊𝒏𝒄𝒉𝒆𝒔
𝟏 𝒇𝒐𝒐𝒕
= 𝟒, 𝟔𝟖𝟎 𝒊𝒏𝒄𝒉𝒆𝒔

11. 11
CONVERSION OF UNITS FROM
ENGLISH TO ENGLISH
Example 2:
Convert 36 pints into gallon
Solution:
Note: the conversion is form smaller unit to larger unit
36 pints = ? gallon
Solution:
36 pints×
𝟏 𝒒𝒖𝒂𝒓𝒕
𝟐 𝒑𝒊𝒏𝒕𝒔
×
𝟏 𝒈𝒂𝒍𝒍𝒐𝒏
𝟒 𝒒𝒖𝒂𝒓𝒕𝒔
=
𝟑𝟔×𝟏×𝟏
𝟐×𝟒
𝒈𝒂𝒍𝒍𝒐𝒏 = 𝟒. 𝟓 𝒈𝒂𝒍𝒍𝒐𝒏𝒔

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24. 24

25. 25
Conversion of Metric to English and Vice-Versa

26. 26

27. 27
CONVERSION OF TIME
1 millennium = 10 centuries
1 century = 100 years
1 decade = 10 years
1 score = 20 years

28. 28

29. 29

30. 30

31. 31

32. ANY QUESTIONS REGARDING
OUR DISCUSSION?
LET’S ANSWER GUIDED ACTIVITY ON
YOUR MODULE PAGE 13…

35. THANK YOU FOR LISTENING
AND CONGRATULATIONS!!!
AMOR F. CABATAN
SUBJECT TEACHER