﻿ Metric Conversion Worksheet | Problems & Solutions

# Metric Conversion Worksheet

Metric Conversion Worksheet
• Page 1
1.
How many millimeters are there in 4 centimeters?
 a. 40 mm b. 0.4 mm c. 4 mm d. 400 mm

#### Solution:

1 cm = 10 mm

4 cm = 4 × 10 mm
[Convert centimeters into millimeters.]

= 40 mm
[Simplify.]

40 millimeters are there in 4 centimeters.

2.
A family consumed 15 kg 500 g of flour in the month of December, 40 kg 450 g in the month of January and 36 kg 750 g in the month of February. What was their total consumption?
 a. 94.4 kg b. 98.7 kg c. 93.8 kg d. 92.7 kg

#### Solution:

Total quantity of flour consumed for three months = 15 kg 500 g + 40 kg 450 g + 36 kg 750 g

= (15 kg + 500 g) + (40 kg + 450 g) + (36 kg + 750 g)

= 15 kg + 40 kg + 36 kg + 500 g + 450 g + 750 g
[Write the like terms together.]

= 91 kg + 1700 g

= 91 kg + (1700 × 1) g = 91 kg + (1700 × 1 / 1000) kg
[Substitute 1 g = 1 / 1000 kg.]

= 91 kg + 1.7 kg
[Work inside the grouping symbols.]

= 92.7 kg

3.
The distance to be covered in a race was 55 km 75 m. When Henry was at 23 km 44 m, he had to stop due to sprained foot. How far was he from the finishing line then?
 a. 32 km 32 m b. 32 km 31 m c. 33 km 31 m d. None of the above

#### Solution:

The distance to be run in the race is 55 km 75 m.

The distance covered by the Henry is 23 km 44 m.

Distance left to reach the finishing line = Total distance - distance covered

= 55 km 75 m - 23 km 44 m
[Substitute the values.]

 km m 55 075 23 044 32 31

Henry is 32 km 31 m far from the finishing line.

4.
Convert 39.5 km 59 m into meters.
 a. 98.5 m b. 395590 m c. 39559 m d. 395900 m

#### Solution:

1km = 1000 m
[Convert km to m.]

39.5 km 59 m
[Original data]

= 39.5 km + 59 m = (39.5 × 1) km + 59 m
[Split the data.]

= (39.5 × 1000) m + 59 m
[Substitute 1 km = 1000 m.]

= 39500 m + 59 m
[Multiply]

= 39559 m

5.
Convert 20 liters into kiloliters.
 a. 0.2 kiloliter b. 20 kiloliter c. 0.02 kiloliter d. 2 kiloliter

#### Solution:

1 liter = 1 / 1000 kiloliter
[Convert liter to kiloliter.]

20 liters = (1 × 20) liters = 1×20 / 1000 kiloliter
[Substitute 1 kiloliter = 1 / 1000 liter.]

20 liters = 2 / 100 = 0.02 kiloliter
[Simplify]

20 liters is 0.02 kiloliter.

6.
Convert 23 kilometers into meters.
 a. 23 m b. 23000 m c. 2300 m d. 230 m

#### Solution:

1 km = 1000 meters
[Convert km to meters.]

23 kilometers = 23 × 1 km = 23 × 1000 m
[Substitute 1 km = 1000 meters.]

= 23000 m
[Multiply.]

7.
Convert 900 meters into kilometers.
 a. 9 kilometers b. 90 kilometers c. 0.9 kilometers d. 0.09 kilometers

#### Solution:

1 meter = 1 / 1000 kilometers
[Convert meter to kilometer.]

900 meters = (900 × 1) m = 900×1 / 1000 kilometers
[Substitute 1 meter = 1 / 1000 kilometers.]

= 0.9 kilometers
[Simplify.]

8.
Convert 13 km 40 m into cm.
 a. 130400 cm b. 13040000 cm c. 1304000 cm d. 13040 cm

#### Solution:

1 km = 1000 m and 1 m = 100 cm
[Convert km to m and m to cm.]

13 km 40 m
[Original data.]

= 13 km + 40 m = (13 × 1) km + 40 m
[Split the data.]

= (13 × 1000) m + 40 m
[Substitute 1 km = 1000 m.]

= (13000 + 40) m
[Multiply.]

= 13040 m

= (13040 × 1) m = (13040 × 100) cm
[Substitute 1 m = 100 cm.]

= 1304000 cm
[Multiply.]

9.
Convert 31 liters 500 milliliters into milliliters.
 a. 31,005 mL b. 31,050 mL c. 315,000 mL d. 31,500 mL

#### Solution:

31 liters 500 milliliters = 31 L + 500 mL

31 liters = 31,000 milliliters
[1 L = 1,000 mL.]

31 L + 500 mL = 31,000 mL + 500 mL = 31, 500 mL

10.
Find the sum of 64 km 25 m and 43 km 3 m.
 a. 106 km 28 m b. 107 km 28 m c. 106 km 29 m d. 107 km 29 m

#### Solution:

64 km 25 m + 43 km 3 m
[Original expression.]

The sum of given values is 107 km 28 m.