Scientific notation is a way of writing a number. We need to know what number the scientific notation represents.
Imagine we wanted to know what number 1.23 × 10
In scientific notation, a number between 1 and 10 (1.23 in this example) is multiplied by a power of 10 (10
Please tell us using

^{5}represents.## How to Convert Scientific Notation to a Number

Converting scientific notation to a number is easy.## Question

What is 1.23 × 10^{5}written in full?

^{5}in this example).## Step-by-Step:

## 1

Look at the number between 1 and 10. In our example, the number between 1 and 10 is 1.23.
Find the decimal point in the number between 1 and 10.

**Don't forget:**If the number does not have a decimal point written, it can be written at the end of the number with a 0 after it (1 = 1.0).## 2

Find the exponent of the power of 10. In our example, the exponent of the power of 10 is

**5**.## 3

Move the decimal point found in

**Step 1**by the number of places given by the exponent in**Step 2**. In our example, we will move the decimal places**5**places to the right.- When we move the decimal point 2 places to the right, we come to the end of the last digit in the number.
- To move the full 5 places, we need to write
**0**s in the last 3 places.

## Answer:

We have taken the number written in scientific notation and written it in full:
1.23 × 10

^{5}= 123,000## What Is Scientific Notation?

Scientific notation is a way of writing a number. In scientific notation, a number is written 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".## What Is a Power of 10?

A power of 10 is 10 raised to a exponent. For example,**10**is a power of 10. The small 2 written beside the 10 means it is raised to an exponent of 2. This means 10 is multiplied by itself 2 times.^{2}## You might also like...

notationconverting a number less than 1 to scientific notationconverting scientific notation with a negative exponent to a numberunderstanding engineering notation

#### Help Us Improve Mathematics Monster

- Do you disagree with something on this page?
- Did you spot a typo?

__this form__.

#### Find Us Quicker!

- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add
**#mm**to your search term.

#### Share This Page

If you like Grammar Monster (or this page in particular), please link to it or share it with others.

If you do, __please tell us__. It helps us a lot!

#### Create a QR Code

Use our handy widget to create a QR code for this page...or any page.

## Worksheet

This test is printable and sendable