Converting Units Within Metric System-Gr 5-Solved Examples

Solved Examples and Worksheet for Converting Units Within Metric System

Q1How many millimeters are there in 9 centimeters?

A. 90 mm
B. 900 mm
C. 9 mm
D. 0.9 mm

Solutions

Step: 1

1 cm = 10 mm

Step: 2

9 cm = 9 × 10 mm

[Convert centimeters into millimeters.]

Step: 3

= 90 mm

[Simplify.]

Step: 4

90 millimeters are there in 9 centimeters.

Correct Answer is : 90 mm

Q2Convert 20 liters into kiloliters.
A. 20 kiloliter
B. 0.2 kiloliter
C. 2 kiloliter
D. 0.02 kiloliter

Solutions

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

Q3Convert 25 kilometers into meters.

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

Solutions

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

Q4Convert 200 meters into kilometers.

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

Solutions

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

Q5Convert 31 km 20 m into cm.

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

Solutions

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

Q6Convert 48 liters 500 milliliters into milliliters.

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

Solutions

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

Q7A bag, full of potatoes, weighs 12 kilograms. What is the weight of the bag in grams?
A. 1200
B. 12000
C. 1000
D. None of the above

Solutions

Step: 1

One kilogram = 1000 grams

[Convert kilogram to grams.]

Step: 2

12 kilograms = (12 × 1) kilograms = (12 × 1000) grams

[Substitute 1 kilogram = 1000 grams.]

Step: 3

= 12000 grams

[Multiply.]

Step: 4

The weight of the bag in grams is 12000.

Correct Answer is : 12000

Q8How many milliliters make 5 liters?
A. 1005 milliliters
B. 5000 milliliters
C. 51000 milliliters
D. 500 milliliters

Solutions

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

Q9How many grams are there in 7 kilograms?
A. 7000 kilograms
B. 1007 grams
C. 7000 grams
D. 700 grams

Solutions

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

Q10Convert 41 km 200 m into meters.
A. 41220 m
B. 41200 m
C. 41020 m
D. 41002 m

Solutions

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

Q11Hanna 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

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

Q12How many kilometers are there in 6,000 m?
A. 7 km
B. 60 km
C. 0.6 km
D. 6 km

Solutions

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

Q1337 Kilogram = ____ grams
Which number best fills the blank?
A. 37000
B. 3700
C. 370
D. 0.037

Solutions

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

Q1460,000 grams = ____Kilograms.
Which number best fills the blank?

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

Solutions

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

Q15A dolphin eats 88 kilograms of meat every month. Convert the measure into grams.

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

Solutions

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

Solved Examples and Worksheet for Converting Units Within Metric System

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HighSchool Math