Mathematics

1. Converting Customary
System to Metric
System
LEE MARIE M. MARFIEL
BASAYNHS

2. EQUIVALENT UNITS IN THE
CUSTOMARY AND METRIC
COSTUMARY MULTIPLY BY METRIC
Inch (in) 2.54 Centimeter (cm)
Yard (yd) 0.9144 Meter (m)
Mile (mi) 1.609 Kilometer (km)
Pound (lb) 0.4536 Kilogram (kg)
Gallon (gal) 4.546 Liter (L)
Fahrenheit (℉ ) 5
9
(℉ − 32)
Celsius (℃)

3. Examples:
Convert the following measures to
metric system units.
1. 8 mi to kilometer
2. 90 lb to kg
3. 2 gal to L

4. SOLUTIONS
1. 8 𝑚𝑖 = 8 mi ×
1.609 𝑘𝑚
1 𝑚𝑖
= 12.872 𝑘𝑚
2. 90 𝑙𝑏 = 90 𝑙𝑏 ×
0.4536
1 𝑙𝑏
= 40.824 𝑘𝑔
3. 2 𝑔𝑎𝑙 = 2 𝑔𝑎𝑙 ×
4.546 𝐿
1 𝑔𝑎𝑙
= 9.092 𝐿

5. Complete this chart.
÷ 𝟏𝟎𝟎𝟎 ÷ 𝟏𝟎𝟎 ÷ 𝟏𝟎 Base
Unit
× 𝟏𝟎 × 𝟏𝟎𝟎 × 𝟏𝟎𝟎𝟎
Kilo- Hecto- Deka- Deci- Centi- Milli-
0.003
km
0.03
hm
0.3
dam
3m 30 dm 300
cm
3000
mm
12g

6. Write the correct relational symbol <, >, 𝑜𝑟 = by
comparing the two quantities.
1.1 𝑚 _______3𝑓𝑡
2.3 𝑖𝑛 _______8𝑐𝑚
3.54 𝑘𝑔 _______120𝑙𝑏
4.4 𝑚𝑖 ________6𝑘𝑚
5.20 𝑐𝑚 ________1𝑓𝑡

7. Complete this chart.
÷ 𝟏𝟎𝟎𝟎 ÷ 𝟏𝟎𝟎 ÷ 𝟏𝟎 Base
Unit
× 𝟏𝟎 × 𝟏𝟎𝟎 × 𝟏𝟎𝟎𝟎
12.5 125 1250
1.5
0.32

8. UNITS IN TIME MEASURE
UNIT EQUIVALENCE IN OTHER UNITS
1 century 100 years
1 score 20 years
1 decade 10 years
1 year 12 months or 365 ¼ days
1 week 7 days
1 day 24 hours
1 hour 60 minutes
1 minute 60 seconds

9. Example:
1. How many minutes are there in 1 day?
1 𝑑𝑎𝑦 = 1 𝑑𝑎𝑦 ×
24 ℎ𝑜𝑢𝑟𝑠
1 𝑑𝑎𝑦
×
60 𝑚𝑖𝑛𝑢𝑡𝑒𝑠
1 ℎ𝑜𝑢𝑟
= 1440 𝑚𝑖𝑛𝑢𝑡𝑒𝑠
2. How many seconds are there in a week?
1 𝑤𝑒𝑒𝑘 = 1 𝑤𝑒𝑒𝑘 ×
7 𝑑𝑎𝑦𝑠
1 𝑤𝑒𝑒𝑘
×
24 ℎ𝑜𝑢𝑟𝑠
1 𝑑𝑎𝑦
×
60 𝑚𝑖𝑛𝑢𝑡𝑒𝑠
1 ℎ𝑜𝑢𝑟
×
60 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
1 𝑚𝑖𝑛𝑢𝑡𝑒
= 604 800 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
3. Convert 216 000 seconds to hours.
216 000 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 = 216 000 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 ×
1 𝑚𝑖𝑛𝑢𝑡𝑒
60 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
×
1 ℎ𝑜𝑢𝑟
60 𝑚𝑖𝑛𝑢𝑡𝑒
= 60 ℎ𝑜𝑢𝑟𝑠
4. How many decades are there in 10 scores?
10 𝑠𝑐𝑜𝑟𝑒𝑠 = 10 𝑠𝑐𝑜𝑟𝑒𝑠 ×
20 𝑦𝑒𝑎𝑟𝑠
1 𝑠𝑐𝑜𝑟𝑒
×
1 𝑑𝑒𝑐𝑎𝑑𝑒
10 𝑦𝑒𝑎𝑟𝑠
= 20 𝑑𝑒𝑐𝑎𝑑𝑒𝑠

10. Convert the following:
1.50 ℉ 𝑡𝑜 ℃
℃ =
5
9
× ℉ − 32
=
5
9
× 50 − 32
=
5
9
× 18
𝟓𝟎 ℉ = 𝟏𝟎℃

11. 2. 40 ℃ 𝑡𝑜 ℉
℉ =
9
5
× ℃ + 32
=
9
5
× 40 + 32
= 72 + 32
𝟒𝟎 ℃ = 𝟏𝟎𝟒 ℉

12. Solve the following:
1. Bea has a 2L bottle of juice. How many glasses can it fill with 210 mL of juice?
2. Car A travels 320 km in 4 hours and Car B travels 333 km in 4.5 hours, which car travels faster?
3. How many days are in 1 year & 1 month?
4. How many hours in 1 day?
5. What is the equivalent of 1 inch in foot?
6. What is 1 kg in pounds?
7. How many feet in 1 meter?
8. How many kilograms in 6.6 pounds?
9. Convert 120° Celsius to °Fahrenheit (°F)?
10. A student averaged 45 miles per hour on a trip. What was the student’s speed in feet per second?