# Millimeter

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## What is a “Millimeter”?

“Millimeter” is a unit of length that equals one-thousandth of a meter. It is a small unit of measurement compared to the centimeter, meter, inches, and feet we are familiar with.

Here’s a fun example to understand why small units are important. Do you know the story of Gulliver? Gulliver, a sea captain and a surgeon, ends up on the island of Lilliput, where people are only about 6 inches in height. Everything in the town is so small, he has to document everything in smaller units like inches and millimeters (mm). Can you imagine measuring tiny things using units like yards or miles? So, small units of measurement are important! So, what is mm in measurements? Let’s learn more about the unit ‘millimeter’.

## Millimeter Definition

A millimeter is a unit measuring length in the metric system. “Milli” comes from the Latin word “mille,” meaning one-thousandth. Therefore, a millimeter is one-thousandth of a meter. The symbol of a millimeter is “mm.”

In case you are wondering how to measure length in millimeters or how a length of a millimeter or 1 mm looks like, let’s check it out on a ruler.

Understand that 1 meter $= 100$ cm and 1 cm $= 10$ mm. On the metric ruler (mm ruler), the distance between two big lines is 1 cm. However, between them, you will find 10 equal smaller lines of length 1 mm each.

## Millimeter and Other Units of Length

We can use the following conversion chart to convert millimeters into different metric units of length.

We have to multiply the length by 10 every time we move from left to right. Also, for each time we move from left to right, we must divide the length by 10.

## Millimeter and Metric Units

Hence, from the above chart, we can conclude:

• 1 mm (1 millimeter) $= 1$ mm
• 1 cm (1 centimeter) $= 1 \times 10$ mm $= 10$ mm
• 1 dm (1 decimeter) $= 1 \times 10 \times 10$ mm $= 100$ mm
• 1 m (1 meter) $= 1 \times 10 \times 10 \times 10$ mm $= 1000$ mm
• 1 dam (1 decameter) $= 1 \times 10 \times 10 \times 10 \times 10$ mm $= 10,000$ mm
• 1 hm (1 hectometer) $= 1 \times 10 \times 10 \times 10 \times 10 \times 10$ mm $= 100,000$ mm
• 1 km (1 kilometer) $= 1 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10$ mm $= 1,000,000$ mm

## Millimeter and Other Customary Units

1 yard $= 0.9144$ meters

We can use the following chart to find the approximate results for the conversion of customary units.

Example 1: Convert 147.5 mm into cm.

We can use the conversion chart to convert 147.5 mm into cm.

As we can see in the chart, from mm to cm, only one jump to the left is required. So, we have to divide the length by 10.

So, 147.5 mm $= 147.5 \div 10$ cm  $= 14.75$ cm

Example 2: Convert 3 ft into mm.

From the conversion chart, we have to climb one step down from ft to yd. So, 3 ft $= 3 \div 3 = 1$ yd

Now, we know that one yd $= 0.9144$ m.

From the conversion chart, from m, we have to jump three points to the right to reach mm. So, we have to multiply 0.9144 by 10 x 10 x 10.

Therefore, 1 yd $=$ 0.9144 m $= 914$.4 mm

## Solved Examples

1. Convert 1 mm into a decimeter.

Solution: From the above conversion chart, we have to jump two sides to the left to reach dm from mm. So, we have to divide 1 mm by $10 \times 10$ or 100.

So, 1 mm $= \frac{1}{100} =$ 0.01 dm.

2. The length of a football pitch is 105 m. Express it in mm.

Solution: From the above chart, from m, we have to jump three times to the right to reach mm. So, we have to multiply 105 m with $10 \times 10 \times 10 = 100$.

So, 105 m $= 105 \times 100$ mm $= 105$,000 mm.

Therefore, the length of a football pitch is 105,000 mm.

3. What is the height of the small replica of a palace shown below in meters?

Solution: First, let us convert 750 mm into m.

To reach m from mm, we must jump three places to the left. So, we have to divide 750 by $(10 \times 10 10)$ or 1000.

So, 750 mm $= 750 \div 1$,000 m $=$ 0.75 m.

Therefore, the length of the palace is 0.75 m.

## Practice Problems

1

### The average length of a red ant is 5 mm. Express it in meters. 5 m
0.05 m
0.005 m
0.0005 m
CorrectIncorrect
From the chart, mm is three positions left to m. So, we divide by 1000.
1 mm $= 1 \div (10 \times 10 \times 10)$ m.
$= 1 \div 1000$ m
$= 0.001$ m.
So, 5 mm $= 0.001 \times 5 = 0.005$ m.
2

### Express 3 km in mm.

30,000 km
300,000 km
3,000,000 km
30,000,000 km
CorrectIncorrect
From the conversion chart, 3 km $= (3 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10)$ mm $= 3,000,000$ mm.
3

### Convert 8,540,000 mm into hectometers.

854 hm
85.4 hm
8.54 hm
854 hm
CorrectIncorrect
From the chart, 8,540,000 mm $= \frac{8,540,000}{10 \times 10 \times 10 \times 10 \times 10}$ hm
$= \frac{8,540,000}{100,000}$
$= \frac{8,54}{10}$
= 85.4 hm
4

### Convert 2 furlongs into mm.

914,400 mm
402,366 mm
200,000 mm
201,168 mm
CorrectIncorrect
From the conversion chart, we must climb one step up to reach the yard from the furlong.
So, 2 fur $= 2 \times 220$ yd $= 440$ yd.
We know that 1 yard $= 0.9144$ m.
So, 440 yd $= 440 \times 0.9144$ m $= 402.336$ m.
Now, from the conversion chart,
402.336 m $= 402.336 \times 10 \times 10 \times 10$ mm
$= 402.336 \times 1000$
$= 402,336$ mm
5

### 1 mile $= \underline{}$ mm

1,609,344 mm
2,567,863 mm
735,262 mm
356,872 mm
CorrectIncorrect
We know that 1 mi $= 1,760$ yards.
But 1 yd $= 914.4$ mm.
So, 1 mi $= 1760 \times 914.4$ mm $= 1,609,344$ mm.