# Decimeter

## What is a Decimeter?

A decimeter is a unit of length or distance in the metric system.

You must be familiar with the customary units of length such as yards, feet, etc. Similarly, the metric system uses “meter” as a unit of measuring length. “Decimeter” is one of many subdivisions of the unit “meter.”

## Decimeter Definition

A unit in the metric system used to measure the length or distance. The prefix term, “deci” is derived from the Latin word “decimus,” meaning one-tenth. So, think about what part of a meter is a decimeter? It refers to one-tenth of a meter. The symbol of a decimeter is “dm.”

## How Long is a Decimeter?

Understand that a meter is 100 cm, and one-tenth of 100 cm is 10 cm. So, one decimeter is 10 centimeters.

Similarly, one decimeter is equal to 100 millimeters.

## The Metric System

The metric system is a system of weights and measures that use the meter (m), liter (l), and gram (g) as units of measuring length, volume/capacity, and mass/weight.

Unlike the Imperial/US customary units of length, volume, and mass, the metric units are invariant of space and remain constant throughout the world. For instance, the length of one meter of cloth is the same everywhere in the world. However, an inch measures 2.61 cm in Norway, 3.33 cm in China, and 2.54 cm in the US.

## Decimeters and Other Units of Measurement

### Decimeters and Metric Units

We can use the following conversion table to establish the relationship between metric units of measurement.

From the figure above, we can convert decimeter to meter and other metric units. For example, 10 decimeters make a meter.

Observe the table below to understand the relation between dm measurements and other metric units.

### Decimeter and Imperial/US Customary Units

Let’s see the relationship between decimeters and other customary units of length. We can use the following chart to convert imperial units.

### Decimeters and Liters

Volume refers to the space occupied by a body or its capacity to store a certain substance, such as liquids. We use liters to measure the volume/capacity of an object in the metric system. A liter is equal to 1 dm3 or 1000 cm3.

One liter $=$ one cubic decimeter

## Fun Facts

1. A decimeter is a unit larger than a millimeter and centimeter but less than a meter.

2. In the increasing order of units of the metric system, the decimeter is in the third position, and further, the units increase up to kilometers.

## Solved Examples

1. The length of a pen is 1.5 dm. Express it in centimeters.

Solution:

From the conversion chart, 1.5 dm $= 1.5 \times 10$ cm $= 15$ cm.

Therefore, the pen is 15 cm long.

2. Express 50 m in dm.

Solution:

From the conversion table, 1 m $= 10$ dm,

So 50 m $= 50 \times 10$ dm $= 500$ dm

3. Compare the following measurements using $\gt$, $\lt$ or $=$.

4.5 m $\underline{}$ 16 dm

Solution:

From the conversion table, 1 m $= 10$ dm

So, 4.5 m $= 4.5 \times 10$ dm $= 45$ dm

Therefore, 45 dm or 4.5 m $\gt$ 16 dm

4. Which is the longest, a 20 dm long ribbon, a 150 cm long rope, or a 1 m long lace?

Solution:

To compare two or more objects, we need to convert them into the same unit. Here, let us convert the units to decimeters to compare them.

From the conversion table, 1 cm $= 0.1$ dm

So, 150 cm $= 150 \times 0.1$ dm $= 15$ dm.

Similarly, 1 m $= 10$ dm

So, the ribbon is 20 dm long, the rope is 15 dm long, and the lace is 10 dm long. Therefore, the ribbon is the longest.

5. Express 1 foot in dm.

Solution:

From the conversion table, 1 dm $= 0.328$ ft.

1 ft $= 1 \div 0.328 = 3.048$ dm

## Practice Problems

1

### Which of the following is equal to 5 hectometres?

5000 cm
5000 dm
5000 m
5000 mm
CorrectIncorrect
From the conversion table, 5 hm $= 5 \times 1000$ dm $= 5,000$ dm
2

### Which of the following is equal to 3000 dm?

30 cm
30 dam
30 m
30 hm
CorrectIncorrect
From the conversion table, 3000 dm $= 300$ m $= 30$ dam $= 3$ hm $= 0.3$ km
3

### Which of the following is the longest?

40 cm
3 m
50 mm
40 dm
CorrectIncorrect
40 cm $= 4$ dm, 50 mm $= 0.5$ dm, 3 m $= 30$ dm
So, 50 mm $\lt 40$ cm $\lt 3$ m $\lt 40$ dm
4

### Joe has a blue ribbon that’s 2 dm in length. Harry has a red ribbon that’s 15 cm in length. Tom has a purple ribbon that’s 0.2 m long. The total length of the ribbons is:

4 dm
5.5 dm
6 dm
6.5 dm
CorrectIncorrect
Joe has a blue ribbon that’s 2 dm long. Harry has a red ribbon that’s 15 cm or 1.5 dm long. Tom has a purple ribbon that’s 0.2 m or 2 dm long. So, the total length of the ribbon is $2$ dm $+ 1.5$ dm $+ 2$ dm or $5.5$ dm
5

### Select a symbol that makes the statement true. 20 dm $\underline{}$ 20 dm $= 4$ m

$+$
$-$
$\times$
$\div$
CorrectIncorrect
Correct answer is: $+$
4 m $= 40$ dm
So, 20 dm $+ 20$ dm $= 40$ dm $= 4$ m