# CONVERTING METRIC UNITS

"Converting metric units" is the stuff which is required to the students who would like to practice problems on the metric units like centimeter, kilometer, centigram, milliliter etc.,

## Converting metric units - Practice problems

Problem 1 :

Convert 2 meters into centimeters.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 m  =  2 x 100 cm

2 m  =  200 cm

Hence, 2 m is equal to 200 cm.

Problem 2 :

Convert 3.5 decimeters into centimeters.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 dm  =  3.5 x 10 cm

3.5 dm  =  35 cm

Hence, 3.5 decimeters is equal to 35 centimeters.

Problem 3 :

Convert 30 decimeters into meters.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

30 decimeters  =  30/10 meters

30 decimeters  =  3 meters

Hence, 30 decimeters is equal to 3 meters.

Problem 4 :

Convert 5280 meters into kilometers.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

5280 meters  =  5280 / 1000 kilometers

5280 meters  =  5.28 kilometers

Hence, 5280 meters is equal to 5.28 kilometers.

Problem 5 :

Convert 24 hectometers into kilometers

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

24 hectometers  =  24/10 kilometers

24 hectometers  =  2.4 kilometers

Hence, 24 hectometers is equal to 2.4 kilometers.

Problem 6 :

Convert 2 kilograms in to grams.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 kg  =  2 x 1000 grams

2 kg  =  2000 grams

Hence, 2 kg is equal to 2000 grams.

Problem 7 :

Convert 3.5 deciliters into centiliters.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 deciliters  =  3.5 x 10 centiliters

3.5 deciliters  =  35 centiliters

Hence, 3.5 deciliters is equal to 35 centiliters.

Problem 8 :

Convert 0.5 decigrams into centigrams.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

0.5 decigrams  =  0.5 x 10 centigrams

0.5 decigrams  =  5 centigrams

Hence, 0.5 decigrams is equal to 5 centigrams.

Problem 9 :

Convert 48 milligrams into centigrams.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

48 milligrams  =  48 / 10 centigrams

48 milligrams  =  4.8 centigrams

Hence, 48 milligrams is equal to 4.8 centigrams.

Problem 10 :

Convert 5000 grams into kilograms.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

5000 grams  =  5000 / 1000 kg

5000 grams  =  5 kg

Hence, 5000 grams is equal to 5 kilograms.

## Converting customary units - Word problems

Problem 1 :

David travels 60 kilometers in two hours. How many meters of distance will he cover in one minute ?

Solution :

Distance covered in 2 hours  =  60 kilometers

Distance covered in 1 hour  =  30 kilometers

We know that 1 hour  =  60 minutes and 1 kilometer  =  1000 m

1 hour -----> 30 km =====> 60 minutes -----> 30 x 1000 m

60 minutes -----> 30000 meters

So, distance covered in 60 minutes  =  30000 meters

Distance covered in one minute  =  30000 / 60 meters

=  500 meters

Hence 500 meters of distance covered in 1 minute.

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Problem 2 :

Mark jogged 15840 meters in 45 minutes. Find the speed of Mark in meter per minute.

Solution :

Speed  =  Distance / Time

Speed  =  15840 / 45

Speed  =  352 meters per minute

Hence the speed of Mark is 352 meters per minute.

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Problem 3 :

Use a fraction to find the length in meters of a tile that is 9 centimeters long.

Solution :

Here, we convert smaller unit (centimeters)  into bigger unit (meters). So we have to divide.

Since we divide, we have to use the fraction 1/100.

Because, 1 meter  =  100 centimeters

9 centimeters  =  9 x 1/100 meters

9 centimeters  =  9/100 meters

Hence 9 centimeters is equal to 9/100 meters.

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Problem 4 :

Kevin has a pole that is 24 meters tall. If Kevin sets the pole on a 300 centimeters stand, how far from the floor will the top of the pole be (in meters) ?

Solution :

Height of the pole  =  24 meters

Height of the stand  =  300 centimeters  =  300/100 =  3 m

Distance from the floor to the top of the pole is

=  Height of the stand + Height of the pole

=  30 + 3

=  33 meters

Hence the top of the pole is 33 meters far from the floor.

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Problem 5 :

Becky and Keith each ran for exactly 20 minutes on a treadmill. Keith’s treadmill said he had run 18500 meters. Becky’s treadmill said she had run 2 kilometers. Who ran farther, and how much farther?

Solution :

Both Becky and Keith took the same amount of time. That is 20 minutes.

Distance covered by Becky and Keith are given in different units. (Meters and Kilometers)

We have to make the units to be same.

Let us convert meters in to kilometers.

So, 10000 meters  =  18500/1000  =  18.5 km.

Therefore,

Distance covered by Becky  =  18.5 km -----(1)

Distance covered by Keith  =  2 km -----(2)

Difference between (1) and (2) ----> 2 - 18.5  =  1.5 km

Hence Becky ran farther by 1.5 km.

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Problem 6 :

David prepares 24 kilograms of metal in 1 hour 36 minutes. At the same rate, How many grams of metal will he prepare in one minute ?

Solution :

1 hour 36 minutes  =  60 min + 36 min  =  96 minutes

1 kilogram  =  1000 grams

24 kilograms  =  24 x 1000 grams  =  24000 grams

1 hour 36 min -----> 24 grams ====> 96 minutes ----> 24000 grams

So, no. of grams prepared in 96 minutes  =  24000 grams

No. of grams prepared in in one minute  =  24000 / 60

=  400 grams

Hence 400 grams of metal is prepared in one minute.

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Problem 7 :

Mark used 15840 grams of metal to make an alloy in 45 minutes. Find the amount metal used in one minute (in grams).

Solution :

No. of grams used in 45 minutes  =  15840

No. of grams used in 1 minute  =  15840 / 45

No. of grams used in 1 minute  =  352

Hence 352 grams of metal used in 1 minute.

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Problem 8 :

Mrs. Moore handed out 40 grams of almonds to each of her 22 students . How many dekagrams of almonds did Mrs. Moore hand out?

Solution :

Total no. of grams of almonds handed out  =  4 x 22  = 88 grams

Total no. of dekagrams of almonds handed out  =  88/10  =  8.8

Hence, Mrs. Moore handed out 8.8 dekagrams of almonds.

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Problem 9 :

Tommy uses 40 grams of cheese in each pizza he makes. How many kilograms of cheese does Tommy need to make 280 pizzas ?

Solution :

1 pizza -----> 40 grams of cheese

28 pizzas -----> 28 x 40 grams of cheese

28 pizzas ------> 1120 grams of cheese

1120 grams  =  1120/1000  =  1.12 kilograms

Hence Tommy needs 1.12 kilograms of cheese to make 280 pizzas.

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Problem 10 :

A standard elevator in a mid rise building can hold a maximum weight of about 500 kilograms. Assuming an average adult weight of 70 kilograms, what is the maximum number of adults who could safely ride the elevator ?

Solution :

Given : Elevator can hold 500 kilograms.

If the average weight of an adult is 70 kilograms,

Maximum no. of adults could safely ride the elevator is

=  500/70

=  7.14

=  7 (approximately)

Hence, maximum number of adults who could safely ride the elevator is 7.

After having gone through the problems explained above, we hope that the students would have understood the stuff given on "Converting metric units".

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