Solved Examples and Worksheet for Converting Units within Metric System

Q1How many centimeters make 6.7 meters?

A. 6700 cm
B. 0.67 cm
C. 670 cm
D. 67 cm

Solutions
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Step: 1
1 meter = 100 cm
Step: 2
6.7 meters = 6.7 × 1 meter = 6.7 × 100 cm
  [Substitute 1 m = 100 cm.]
Step: 3
= 670 cm
  [Multiply.]
Step: 4
So, 670 centimeters make 6.7 meters.
Correct Answer is :   670 cm
Q2Convert 25 kilometers into meters.

A. 25000 m
B. 25 m
C. 2500 m
D. 250 m

Solutions
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Step: 1
1 km = 1000 meters
  [Convert km to meters.]
Step: 2
25 kilometers = 25 × 1 km = 25 × 1000 m
  [Substitute 1 km = 1000 meters.]
Step: 3
= 25000 m
  [Multiply.]
Correct Answer is :   25000 m
Q3Convert 200 meters into kilometers.

A. 0.2 kilometers
B. 0.02 kilometers
C. 20 kilometers
D. 2 kilometers

Solutions
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Step: 1
1 meter = 11000 kilometers
  [Convert meter to kilometer.]
Step: 2
200 meters = (200 × 1) m = 200×11000 kilometers
  [Substitute 1 meter = 11000 kilometers.]
Step: 3
= 0.2 kilometers
  [Simplify.]
Correct Answer is :   0.2 kilometers
Q4Convert 31 km 20 m into cm.

A. 31020 cm
B. 3102000 cm
C. 31020000 cm
D. 310200 cm

Solutions
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Step: 1
1 km = 1000 m and 1 m = 100 cm
  [Convert km to m and m to cm.]
Step: 2
31 km 20 m
  [Original data.]
Step: 3
= 31 km + 20 m = (31 × 1) km + 20 m
  [Split the data.]
Step: 4
= (31 × 1000) m + 20 m
  [Substitute 1 km = 1000 m.]
Step: 5
= (31000 + 20) m
  [Multiply.]
Step: 6
= 31020 m
  [Add.]
Step: 7
= (31020 × 1) m = (31020 × 100) cm
  [Substitute 1 m = 100 cm.]
Step: 8
= 3102000 cm
  [Multiply.]
Correct Answer is :   3102000 cm
Q5How 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
Q6Convert 41 km 200 m into meters.
A. 41220 m
B. 41200 m
C. 41020 m
D. 41002 m

Solutions
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Step: 1
1 km = 1000 m
  [Convert km to m.]
Step: 2
41 km 200 m
  [Original data.]
Step: 3
= 41 km + 200 m = (41 × 1) km + 200 m
Step: 4
= (41 × 1000) m + 200 m
  [Substitute 1 km = 1000 m.]
Step: 5
= 41000 m + 200 m
  [Multiply.]
Step: 6
= 41200 m
  [Add.]
Correct Answer is :   41200 m
Q7How 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
Q837 Kilogram = ____ grams
Which number best fills the blank?
A. 37000
B. 3700
C. 370
D. 0.037

Solutions
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Step: 1
1 Kilogram = 1000 grams.
Step: 2
37 Kilogram = 37 × 1000 grams = 37,000 grams.
Step: 3
37 Kilograms = 37,000 grams.
Correct Answer is :   37000
Q960,000 grams = ____Kilograms.
Which number best fills the blank?

A. 600
B. 6.0
C. 60
D. 6000

Solutions
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Step: 1
1000 grams = 1 Kilogram.
Step: 2
60000 grams = 60 × 1000 grams = 60 Kilograms.
Step: 3
So, 60,000 grams = 60 Kilograms.
Correct Answer is :   60
Q10A dolphin eats 88 kilograms of meat every month. Convert the measure into grams.

A. 88
B. 88000
C. 880
D. 8800

Solutions
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Step: 1
1 kg = 1000 grams.
  
Step: 2
88 kg = 88 × 1 kg = 88 × 1000 grams.
  
Step: 3
= 88000 grams.
  
Step: 4
So, the quantity of meat required by the dolphin every month in grams is 88000.
Correct Answer is :   88000
Q11Diana bought 8000 grams of sugar. How many kilograms of sugar did she buy?

A. 8 kg
B. 17 kg
C. 11 kg
D. 14 kg

Solutions
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Step: 1
8000 gm = 8 × 1000 gm.
Step: 2
= 8 × 1 kg.
  [Substitute 1000 gm = 1 kg.]
Step: 3
= 8 kg.
  [Multiply]
Step: 4
So, Diana bought 8 kg of sugar.
Correct Answer is :   8 kg
Q12Convert 40 liters into kiloliters.

A. 4 kiloliter
B. 0.4 kiloliter
C. 0.04 kiloliter

Solutions
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Step: 1
1 liter = 11000 kiloliter
  [Convert liter to kiloliter.]
Step: 2
40 liters = (1 × 40) liters = 1×401000 kiloliter
  [Substitute 1 liter = 11000 kiloliter.]
Step: 3
40 liters = 4100 = 0.04 kiloliter
  [Simplify]
Step: 4
40 liters is 0.04 kiloliter.
Correct Answer is :   0.04 kiloliter

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