Converting Units within Metric System-Gr 4-Solved Examples

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

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

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

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

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

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

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

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

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

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

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

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

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

Solved Examples and Worksheet for Converting Units within Metric System

Related Worksheet

Related Topic

HighSchool Math