"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.,

**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.**

**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.**

Let us look at the next word problem on "Converting metric units"

**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. **

Let us look at the next word problem on "Converting metric units**"**

**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. **

Let us look at the next word problem on "Converting Converting metric units"

**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. **

Let us look at the next word problem on "Converting metric units"

**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.**

Let us look at the next word problem on "Converting metric units"

**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. **

Let us look at the next word problem on "Converting metric units"

**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.**

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