meter (m)

What is meter (m) in math? Definition

In mathematics, the meter (m) is a unit of length in the International System of Units (SI). It is the base unit of length and is defined as the distance traveled by light in a vacuum during a specific time interval. The meter is commonly used to measure distances, lengths, and heights.

History of meter (m)

The history of the meter dates back to the late 18th century when the French Academy of Sciences proposed a new unit of length based on the Earth's circumference. In 1791, the French National Assembly adopted the meter as the standard unit of length. Initially, it was defined as one ten-millionth of the distance from the North Pole to the Equator along a meridian passing through Paris.

Over the years, the definition of the meter has evolved. In 1889, it was redefined as the distance between two engraved lines on a platinum-iridium bar known as the International Prototype of the Meter. Later, in 1960, the meter was redefined again, this time in terms of the wavelength of a specific emission line of krypton-86.

Finally, in 1983, the meter was redefined for the last time as the distance traveled by light in a vacuum during 1/299,792,458 of a second. This definition ensures that the speed of light is exactly 299,792,458 meters per second.

What grade level is meter (m) for?

The concept of the meter is introduced in elementary school, typically around the 3rd or 4th grade. Students learn about basic units of measurement, including the meter, and how to use it to measure lengths and distances. The understanding of the meter becomes more advanced as students progress through middle school and high school.

What knowledge points does meter (m) contain? And detailed explanation step by step.

The knowledge points related to the meter include:

1. Understanding the concept of length and distance.
2. Recognizing the meter as a unit of length in the SI system.
3. Converting between meters and other units of length, such as centimeters, kilometers, and miles.
4. Estimating and measuring lengths using a ruler or other measuring tools.
5. Applying the meter in real-life situations, such as calculating the perimeter of shapes or determining the distance traveled.

Step by step, students learn to identify the need for measurement, select appropriate units, estimate lengths, and use measuring tools accurately. They also learn to perform conversions and solve problems involving the meter.

Types of meter (m)

There are no specific types of meters in mathematics. The meter is a standard unit of length and does not have variations or subtypes.

Properties of meter (m)

The meter has several properties:

1. It is a scalar quantity, meaning it only has magnitude and no direction.
2. It is a base unit in the SI system, which means it is not derived from any other unit.
3. It is used to measure lengths, distances, and heights.
4. It can be converted into other units of length using conversion factors.

How to find or calculate meter (m)?

To find or calculate the meter, you can use measuring tools such as rulers, tape measures, or laser distance meters. By comparing the length of an object to the markings on the measuring tool, you can determine the length in meters.

For example, if you measure the length of a table and find it to be 1.5 meters, it means the table is 1.5 times the length of a meter.

What is the formula or equation for meter (m)?

The meter does not have a specific formula or equation since it is a unit of measurement. However, it is often used in formulas or equations that involve length or distance.

For example, the formula for calculating the perimeter of a rectangle is:

Perimeter = 2 * (length + width)

In this formula, the length and width can be given in meters.

How to apply the meter (m) formula or equation?

To apply the meter in a formula or equation, you need to ensure that all the lengths or distances involved are in meters. If they are given in other units, you may need to convert them to meters using appropriate conversion factors.

Once all the lengths are in meters, you can substitute them into the formula or equation and perform the necessary calculations.

What is the symbol or abbreviation for meter (m)?

The symbol or abbreviation for meter is "m". It is derived from the first letter of the word "meter" in English.

What are the methods for meter (m)?

The methods for using the meter include:

1. Measuring with a ruler or tape measure: This method involves physically measuring the length or distance using a measuring tool calibrated in meters.

2. Using a laser distance meter: This method utilizes a laser device that measures distances accurately by emitting a laser beam and calculating the time it takes for the beam to return.

3. Converting from other units: If the length or distance is given in a different unit, you can use conversion factors to convert it to meters.

More than 3 solved examples on meter (m)

Example 1: A rectangular field measures 20 meters in length and 10 meters in width. What is its perimeter?

Solution: Perimeter = 2 * (length + width) Perimeter = 2 * (20 + 10) Perimeter = 2 * 30 Perimeter = 60 meters

Example 2: A car travels at a speed of 80 kilometers per hour. How many meters does it travel in 2 hours?

Solution: Distance = Speed * Time Distance = 80 km/h * 2 h Distance = 160 kilometers

To convert kilometers to meters, we multiply by 1000: Distance = 160 km * 1000 m/km Distance = 160,000 meters

Example 3: A swimming pool is 25 meters long and 12 meters wide. What is its area?

Solution: Area = Length * Width Area = 25 meters * 12 meters Area = 300 square meters

Practice Problems on meter (m)

1. Convert 500 centimeters to meters.
2. A marathon race is 42.195 kilometers long. How many meters is that?
3. A rectangular box has dimensions of 2 meters, 3 meters, and 4 meters. What is its volume?

FAQ on meter (m)

Question: What is the meter used for in physics? Answer: In physics, the meter is used to measure distances, lengths, and heights. It is often used in equations involving speed, acceleration, and force.