^{-3}represents.

## How to Convert Scientific Notation with a Negative Exponent

Converting scientific notation with a negative exponent to a number is easy.## Question

What is 1.23 × 10^{−3}written in full?

^{−3}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

**−3**.## 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**3**places. Because it is**minus**3, the decimal point will be moved to the**left**.- When we move the decimal point 1 place to the left, we come past the first digit in the number.
- To move the full 3 places, we need to write
**0**s in the next 2 places.

## 4

Write a

**0**before the decimal point.## Answer:

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

^{−3}= 0.00123## 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 scientific notation to a numberunderstanding engineering notationconverting a number to engineering notation

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