# What are the 7 SI Base Units?

## What are SI Units?

When measuring entities in science and math, universal units are used so all measurements are equal to each other. This allows for ease of comparison and collaboration in the fields of study where people do not physically work together. The **International System of Units**, or **SI** units was developed so measurements could remain standard and comparable, yet allow for expansion as new information was discovered and learned. The system has seven fundamental units called **base units**.

A base unit is the agreed-upon starting unit for each entity, like a second or a meter, and can be used to create other units but cannot be broken themselves. For example, you can measure time in hours and minutes that are derived from seconds (60 seconds in a minute, 60 minutes in an hour). And while you can have a millisecond, the second is the standard fundamental measurement of time.

## 7 Base SI Units

There are seven base units. Each is used to measure a specific entity and has a symbol used in equations and scientific writing. The symbols (in parenthesis below) allow scientists to work in shorthand and still understand calculations completed by other scientists.

*** ampere** * (A) * the rate of electrical flow, or electric current

*** candela** * (cd) * luminous intensity, or light intensity, allowing numerical comparisons between lights of different origins (ex: LED light, light bulb, candle)

*** kelvin** * (K) * measurement of temperature which has no negative numbers.

*** kilogram** * (kg) * mass of an object

*** meter** * (m) * distance

*** mole** * (mol) * the amount of a substance, used in chemistry, allows scientists to determine the amount of elements in a substance (the amount of oxygen to hydrogen in water).

NOTE: A mole is equal to 6.023 x 10^23 of the material. This is known as **Avogadro's Number**

*** second** * (s) * base unit for time

## Dimensions and SI Units

SI units are helpful in measuring the **dimensions** of entities. Dimensions help to determine the type of measurement unit a scientist will use when recording data or completing calculations. Length will determine meters are used for measurement, while time needs to be measured in seconds.

### Base Unit for Mass

The concept of mass is often difficult to understand. Mass is the amount of an entity when put on a balance. It is the amount of the entity that is present. It is measured in kilograms as the base unit.

## What is a Derived Unit?

A **derived unit** is a measurement that can be created by combining multiple base units in an algebraic equation. These units allow scientists to measure other parts of an entity. For example, a scientist can measure the length of a fish tank in meters, but that will not tell the scientist how much water the tank will hold. The amount of water a tank can hold is an example of a derived unit: volume.

Five common derived units are:

**area***(m2)*meter x meter, measure of a surface**acceleration***(m/s2)*meter per second squared, measure of increased speed**concentration***(mol/m3)*mole per cubic meter, measure of a solute in a solution**density***(kg/m3)*kilogram per cubic meter, measure of compactness**volume***(m3)*cubic meter, measure of space a 3D entity holds

### SI Base Unit for Volume

Volume, as shown above, is a derived unit. It is the space that a 3D entity holds. The base unit for volume is calculated by multiplying the three lengths of an object together. In the example of a fish tank, the height, length, and width of the tank would be multiplied to find the volume. The would then be the amount of water the tank can hold or the volume.

### Derived Unit from SI Unit

Another example of how to create a derived unit would be when finding the concentration of an object. The concentration is the measure of a solute in a solution and is found by dividing the number of moles in a solution by the cubic meters of the container. Algebraically this would appear as:

mol/meter x meter x meter = concentration

## Lesson Summary

SI units, or the International System of Units, are the standard scientific units of measurement used by scientists throughout the world. They include both base units and derived units and are an extension of the metric system. Base units and derived units are both parts of the SI measurement system. There are seven base units, ampere, candela, Kelvin, kilogram, meter, mole, and second. These are the basic units of measurement for each of their respective entities. Derived units, like mass and volume, are created by combining base units with algebraic formulas.

The seven base units are:

*** ampere** * (A) * the rate of electrical flow, or electric current

*** candela** * (cd) * luminous intensity, or light intensity, allowing numerical comparisons between lights of different origins (ex: LED light, light bulb, candle)

*** kelvin** * (K) * measurement of temperature which has no negative numbers.

*** kilogram** * (kg) * mass of an object

*** meter** * (m) * distance

*** mole** * (mol) * the amount of a substance, used in chemistry, allows scientists to determine the number of elements in a substance (the amount of oxygen to hydrogen in water).

NOTE: A mole is equal to 6.023 x 10^23 of the material. This is known as **Avogadro's Number**

*** second** * (s) * base unit for time

Five common derived units are:

**area***(m2)*meter x meter, measure of a surface**acceleration***(m/s2)*meter per second squared, measure of increased speed**concentration***(mol/m3)*mole per cubic meter, measure of a solute in a solution**density***(kg/m3)*kilogram per cubic meter, measure of compactness**volume***(m3)*cubic meter, measure of space entity holds

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#### What are examples of derived units?

Some examples of derived units are density, concentration, and volume. Since derived units are calculated buy combining multiple SI units using algebraic equations there are many more.

#### What are base and derived units?

Base units and derived units are both part of the SI measurement system. There are seven base units, ampere, candela, Kelvin, kilogram, meter, mole and second. These are the basic units of measurement for each of their respective entities. Derived units, like mass and volume, are created by combining base units with algebraic formulas.

#### What are SI units?

SI units, or the International System of Units, are the standard scientific units of measurement used by scientists throughout the world. They include both base units and derived units and are an extension of the metric system.

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