Solved Examples and Worksheet for Converting Units within Metric System

Q1Convert 20 liters into kiloliters.
A. 20 kiloliter
B. 0.2 kiloliter
C. 2 kiloliter
D. 0.02 kiloliter

Solutions
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Step: 1
1 liter = 11000 kiloliter
  [Convert liter to kiloliter.]
Step: 2
20 liters = (1 × 20) liters = 1×201000 kiloliter
  [Substitute 1 kiloliter = 11000 liter.]
Step: 3
20 liters = 2100 = 0.02 kiloliter
  [Simplify]
Step: 4
20 liters is 0.02 kiloliter.
Correct Answer is :   0.02 kiloliter
Q2Convert 48 liters 500 milliliters into milliliters.

A. 485,000 mL
B. 48,050 mL
C. 48,500 mL
D. 48,005 mL

Solutions
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Step: 1
48 liters 500 milliliters = 48 L + 500 mL
Step: 2
48 liters = 48,000 milliliters
  [1 L = 1,000 mL.]
Step: 3
48 L + 500 mL = 48,000 mL + 500 mL = 48, 500 mL
Correct Answer is :   48,500 mL
Q3How many milliliters make 5 liters?
A. 1005 milliliters
B. 5000 milliliters
C. 51000 milliliters
D. 500 milliliters

Solutions
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Step: 1
1 L = 1000 mL
  [Convert L to mL.]
Step: 2
5 L = (5 × 1) L = (5 × 1000) mL
  [Substitute 1 L = 1000 mL.]
Step: 3
= 5000 mL
  [Multiply.]
Step: 4
So, 5000 mL makes 5 L.
Correct Answer is :   5000 milliliters
Q4How many grams are there in 7 kilograms?
A. 7000 kilograms
B. 1007 grams
C. 7000 grams
D. 700 grams

Solutions
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Step: 1
1 kg = 1000 grams
  [Convert kg to grams.]
Step: 2
7 kg = (7 × 1) kg = (7 × 1000) grams
  [Substitute 1 kg = 1000 grams.]
Step: 3
= 7000 grams
  [Simplify.]
Step: 4
Therefore, 7 kilograms = 7000 grams.
Correct Answer is :   7000 grams
Q5Hanna needs 5.2 liters of milk to prepare one sweet dish. Convert the amount of milk in milliliters.

A. 520 milliliters
B. 52,000 milliliters
C. 5,20,000 milliliters
D. 5,200 milliliters

Solutions
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Step: 1
Hanna needs 5.2 liters of milk.
  [Original data]
Step: 2
1 liter = 1000 milliliter
  [Convert liters to milliliters.]
Step: 3
= 5.2 liters = 5.2 × 1 liter
Step: 4
= 5.2 × 1000 milliliters
  [Substitute 1 liter = 1000 milliliters.]
Step: 5
= 5,200 milliliters
  [Multiply]
Step: 6
Hanna needs 5,200 milliliters of milk to prepare one sweet dish.
Correct Answer is :   5,200 milliliters
Q6How many kilometers are there in 6,000 m?
A. 7 km
B. 60 km
C. 0.6 km
D. 6 km

Solutions
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Step: 1
1000 m = 1 km
  [Convert meters to kilometer.]
Step: 2
1 m = ( 11000) km
  [Divide each side by 1000.]
Step: 3
6,000 m = (6,000 × 1) m = 6,000 × ( 11000) km
  [Substitute 1 m = ( 11000) km.]
Step: 4
= 6 km
  [Simplify.]
Correct Answer is :   6 km
Q7Convert 11600 cm into meters.
A. 11.6 m
B. 1160 m
C. 1160000 m
D. 116 m

Solutions
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Step: 1
11600 cm = 116 × 100 cm = 116 × 1 m = 116 m
  [100 cm = 1 m.]
Correct Answer is :   116 m
Q8How many millimeters are there in 5 m?
A. 7,000 mm
B. 5,000 mm
C. 6,000 mm
D. 4,000 mm

Solutions
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Step: 1
5 m = 5 × 1 m = 5 × 1000 mm = 5,000 mm
  [1 m = 1000 mm.]
Correct Answer is :   5,000 mm
Q9How many centimeters are there in 120 mm?

A. 1.2 cm
B. 1200 cm
C. 12 cm
D. 0.12 cm

Solutions
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Step: 1
120 mm = 12 × 10 mm = 12 × 1 cm = 12 cm
  [10 mm = 1 cm.]
Correct Answer is :   12 cm
Q10Gary drinks 400 mL of lemonade every morning and 15 of 2 L of milk before going to bed. Of which one does he drink more?
A. Milk
B. Gary consumes both in equal quantities.
C. Lemonade

Solutions
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Step: 1
2000 mL = 2 L.
Step: 2
Compare 400 mL of lemonade and 15 of 2 L of milk.
Step: 3
(15) × 2 L of milk = (15) × 2000 mL of milk = 400 mL of milk.
  [Since 2000 mL = 2 L.]
Step: 4
400 mL of lemonade = 400 mL of milk.
Step: 5
So, Gary drinks equal quantities of lemonade and milk.
Correct Answer is :   Gary consumes both in equal quantities.
Q11Ethan's school is at a distance of 5 kilometers 25 meters from his home. Convert the distance into meters.
A. 525 m
B. 5025 m
C. 5000 m
D. 5250 m

Solutions
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Step: 1
1 km = 1000 meters
Step: 2
5 km = 5 × 1 km = 5 × 1000 m
  [Substitute 1 km = 1000 m.]
Step: 3
= 5000 m
  [Multiply]
Step: 4
5 kilometers 25 meters = 5000 m + 25 m
  [Substitute 5 km = 5000 m.]
Step: 5
= 5025 m
  [Add]
Step: 6
So, Ethan's school is at a distance of 5025 m from his home.
Correct Answer is :   5025 m
Q12How many meters equals to 9700 cm?

A. 97 m
B. 970000 m
C. 970 m
D. 9.7 m

Solutions
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Step: 1
100 cm = 1 m
  [Convert centimeters to meter.]
Step: 2
1 cm = ( 1100) m
  [Divide each side by 100.]
Step: 3
9700 cm = (9700 × 1) cm = 9700 × ( 1100) m
  [Substitute 1 cm = ( 1100) m.]
Step: 4
= 97 m
  [Simplify.]
Correct Answer is :   97 m
Q13Choose the appropriate conversion of 5 m in millimeters.

A. 7,000 mm
B. 6,000 mm
C. 5,000 mm
D. 4,000 mm

Solutions
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Step: 1
1m = 1000 mm
  [Convert meter to millimeters.]
Step: 2
5 m = (5 × 1) m = (5 × 1000) mm
  [Substitute 1 m = 1000 mm.]
Step: 3
= 5,000 mm
  [Multiply.]
Correct Answer is :   5,000 mm
Q14How many centimeters are in 8 meters?

A. 800 centimeters
B. 8000 centimeters
C. 80 centimeters
D. 96 centimeters

Solutions
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Step: 1
1 meter = 100 centimeters
Step: 2
8 meters = 8 × 100 = 800 centimeters
Correct Answer is :   800 centimeters
Q15Convert 12300 cm into meters.
A. 1230 m
B. 1230000 m
C. 123 m

Solutions
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Step: 1
12300 cm = 123 × 100 cm = 123 × 1 m = 123 m
  [100 cm = 1 m.]
Correct Answer is :   123 m

HighSchool Math