# Notation

## What Is Notation?

Some numbers can be very large...

Some numbers can be very small...

Writing out so many numerals can be very time consuming, especially if they are part of a long calculation. Scientific and Engineering notation is a way of writing very large or very small numbers in a standard (shorter!) way.
 12,300,000,000 = 1.23 × 1010 Scientific notation 0.0000000123 = 12.3 × 10−9 Engineering notation

## What Is Scientific Notation?

Scientific notation writes a number as a number between 1 and 10 multiplied by a power of 10. The number below is written in scientific notation. It is said as "1.2 times 10 to the 3".

## Dictionary Definition

The Oxford English Dictionary defines scientific notation as "a system of representing some given number as a product of a number with an absolute value between 1 and 10 and a power of 10 (as 2 × 102 for 200)."

## What Is Engineering Notation?

Engineering notation writes a number as a number between 1 and 1,000 multiplied by a power of 10 that has an exponent that is a multiple of 3. The number below is written in engineering notation. It is said as "123.4 times 10 to the 3".

• 123.4 is between 1 and 1,000.
• 103 is a power of 10. The exponent is 3, which is a multiple of 3. 106, 109 and 1012 also have exponents that are multiples of 3.

## Scientific Notation

Scientific notation is a way of writing very large or very small numbers as a number between 1 and 10 multiplying a power of 10. In this mini-curriculum, you will learn about scientific notation.

Powers of 10
A power of 10 is 10 raised to a exponent, which tells you how many times 10 is multiplied by itself. Here is an example of a power of 10:

An exponent of 2 means that 10 is multiplied by itself 2 times.

Scientific Notation
Scientific notation is a way of writing a number. A number is written as a number between 1 and 10 multiplied by a power of 10.

Convert Number to Scientific Notation
A number can be converted to scientific notation.

Convert Number Less Than 1 to Scientific Notation
A number less than 1 can be converted to scientific notation.

Convert Scientific Notation to Number
A number written in scientific notation can be converted to a normal number.

Convert Scientific Notation with a Negative Exponent to a Number
A number written in scientific notation with a negative exponent can be converted to a normal number.

Read more about how to convert a number less than 1 to scientific notation
Read more about how to convert scientific notation with a negative exponent to a number

## Engineering Notation

Engineering notation is a way of writing very large or very small numbers. It is written as a number between 1 and 1,000 that multiplies a power of 10 that has an exponent that is a multiple of 3 (3, 6, 9 etc). In this mini-curriculum, you will learn about engineering notation.

Engineering Notation
Engineering notation is a way of writing a number as a number between 1 and 1,000 multiplied by a power of 10 that has an exponent that is a multiple of 3.

Convert Number to Engineering Notation
A number can be converted to engineering notation.

Convert Number Less Than 1 to Engineering Notation
A number less than 1 can be converted to engineering notation.

Convert Engineering Notation to Number
A number written in engineering notation can be converted to a normal number.

Convert Engineering Notation with a Negative Exponent to a Number
A number written in engineering notation with a negative exponent can be converted to a normal number.