When writing academic papers, you will *come across several types* of notation that are not familiar to most readers. This is very common in scientific literature, where many terms have their own jargon or shorthand versions.

These special forms of **notation make reading easier** because they use established rules for spelling and grammar. By using these alternatives, publishers give you credit for being intelligent and educated.

However, some of these alternative styles can look strange to non-scientists, which may detract from your paper’s readability. Removing scientifically oriented slang will improve the quality of your writing and *help increase reader engagement*.

This article will discuss five ways to remove scientific notation from your paragraphs. You do not need to do all five strategies in order to be considered professional, but it is helpful to know how to apply each one.

## Convert to decimal

Converting scientific notation into regular decimals is one of the most common ways to do this. When converting from hexadecimal, you simply take the first number, multiply it by 16, and add the second number.

For example, say we want to convert 0x4A in decimal. We would start off with 4 as the first integer, then multiply that by six to get 24, and finally add A for the third digit. The solution is therefore 24 + A = 26.

Converting binary is very similar to how we converted hexadecimal. You just have to **replace every 0** in the string with 1 and vice versa. For instance, if we wanted to know what 0b10101010 means, we would begin with 10, which becomes one. One times two is two, so our first term is now 2. Next, we **would put b**, which also has a value of one, next to 01, which **adds another one** to our initial two. Our final answer is three, making our conversion equal to 2+1+2=5.

This process can be repeated until there are no more digits to calculate.

## Convert to binary

Many mathematical equations have numbers that are not in common numerical form. These are called scientific notation, and they can be very annoying to work with. When you see a large number like $1e10$ (one million), it means one million!

This is because a “million” is just another word for thousand so it is being converted into its own **word value – 10**. But there are problems when doing this.

The first problem is that *people use different lengths* of words to refer to the same thing. For example, what does 1,000 mean? It could be spelled one thousand or onehundreth, but either way it takes up the same amount of space.

So instead of writing out a long string of numbers, we round off our numbers to the *next highest whole number*. In other words, we **take away many zeros** until we get something that can be written as normal language. This process is known as converting into binary.

There are several ways to do this. You can choose which method fits your personal style best.

## Ways to remove scientific notation

There are **three main ways** to drop or **take away significant digits** in an expression. These include changing the base, multiplying by a constant, and *using exponent rules*.

Base change is when you replace one number with another degree of magnitude. For example, if your equation has 10^5, which *means five times ten thousand*, then you could instead have 5 million.

Multiplying numbers together can result in very long expressions, so there are methods to reduce this. One way is to just move some of the digits to the front, leaving more room for computation.

## Know your numbers

The term ‘scientific notation’ has become very common in math, but many people don’t know what it means nor how to use it correctly.

In this article we will talk about how to use scientific notations effectively!

So let’s get started by looking at some examples. Let’s say you want to find 5x times 2.

Step one is to move the two outside of the parenthesis. In other words, **write 5 x 2 without parentheses first**.

Next, take the 1 that belongs with five and put it next to the 2 that is already out. This results in 10, our final product.

Why are these steps important? It comes down to consistency. When doing mathematics, there should be a clear process for moving pieces around and **using standard rules consistently**.

This way, your calculations make sense and nothing is left out or forgotten.

Scientific notation works similarly. However, instead of just writing a number with a decimal place, there is an exponent used as well.

## Understand the significance of the number

The word “million” does not *mean one million*, it means 1 followed by 1000 more zeros. A billion is just a way to say there are **exactly one thousand millions**, or **one million sets** of 1000 zeroes.

A trillion is also simply a very large amount of money. It is just like saying there is enough money for a lot of things. A trillion does not refer to a specific size; it refers to an extremely large amount.

## Calculate your results

In mathematics, you will *come across many different styles* of notation that use very specific rules for how to write equations. Some are easier to read than others, but none are better than another unless they *help make solving* the equation more efficient or clear.

The style we discussed earlier is one of the easiest to understand once you get used to it. It goes like this: parenthesis () are used to **group numbers together** and extended proportionality symbols such as ÷ are using pre-existing parentheses to create an integral.

But there are other ways to approach mathematical writing! The most common way is by *using vertical bars instead* of parentheses. This can be done easily with just about any software package or tool where you can input expressions.

This article will discuss some easy tricks to remove scientific notation from calculations.

## Scientific notation and financial markets

Another common source of scientific notation is in market prices. When talking about finance, we use terms like ‘million’ or even trillion to describe how much money there is being spent or invested.

A million dollars sounds very expensive, but it is only 1% of a billion! A trillion is just a way to say that something is extremely large. One trillion is one thousand millions or a whole lot of money.

So why do they exist? It comes down to what numbers mean. A decimal place means a unit of 10 more times. A zero before the decimal means no units.

For example, if you have $1, then there are **100 additional copies** of yourself at cost of one dollar. If you had a million dollars, then you would own a *million separate individuals* with each person having a copy of you for a hundred dollars.

This is called owning a bunch of bottles, not necessarily because they contain alcohol, but because you can never run out due to them always having a bottle inside themselves.

## Scientific notation and sports

There is one area where scientific notation can get out of hand, however. When used in relation to money, it can be extremely expensive!

In finance, there are two common ways to express amounts of money. The first is using decimal numbers which contain no exponent or power. These are what most people are use when doing math at school. They are very easy to understand, but they have a limitation – you *cannot write anything beyond* about 9999 because that would take up too much space.

The second way to do this is using exponential form. This uses an exponent (e.g., 1 million) before the amount to make the value larger. For example, 1000 has a larger size than 99. Both are considered ways to write large amounts of money.

However, there is another way to write these sizes that some may not know about. It was invented by Isaac Newton almost four hundred years ago! He called it epsilon (Ω). This looks similar to omega (ò), except with a lower case o instead of an upper case O.

This article will go into more detail on how to reduce excessive use of scientific notation in business including examples. But first, let’s look at a few examples.