Home » Scientific Notation » 40000 in Scientific Notation

# 40000 in Scientific Notation

Welcome to 40000 in scientific notation, our comprehensive article about writing the number forty thousand as a small number × 10^n.
Scientific Notation:
×10
E Notation:
Decimal Notation:
If you have been looking for 40000 in exponential form or 40000 as a power of 10, then you are right here, too.

In this post you can find everything about the standard index form of 40000, including the normalized scientific notation and the number written in e-notation.

Check out our app, watch our video and then read on to learn everything about forty thousand written compactly.

Note that you can also find the result of the number conversion in the output fields of our converter above.

Our video below visualizes the conversion and shows you exactly how move the decimal point n places to the left for big numbers, or how to move the digits point to the right in case of small numbers.

## How Do You Write 40000 in Scientific Notation?

Watching this clip we explain to you the conversion in as little as 75 seconds!

You are now going to see how to convert 40000 in 3 easy steps explained in full detail, but without unnecessary delays to make the presentation of the method lengthy. We really look forward to hearing from you if our video clip has met your expectations, please use the form at the bottom to let us know your valuable opinion.

## What is 40000 in Scientific Notation?

Let’s recall how to convert 40000 as detailed on our home page.

When you split the number 40000 into a coefficient and a power of 10 you do get 40000 in exponential form, but there is an indefinite number of possibilities.

As you probably want 40000 in normalized scientific notation, the coefficient or significand of 40000 must be in the interval [1,10[.

In other words, the coefficient has to be equal to or greater than 1 (≥1), and less than 10 (<10).

In this post we mean 40000 in the normalized version, unless stated otherwise.

Not a convention, but this reflects the use of the term in daily life.

Therefore:
40000 = 4 × 104.

This can also be expressed as 4 × 10^4 , using the caret symbol, or as 4e+4, which is called 40000 in e-notation, further discussed in the section ahead.

• Observe that you can switch between the three modes of number representation our tool features.
• You may also overwrite the input field.
• Or copy / paste your input.
• Press the button only to reset our app.
• You may switch between decimal, scientific and e-notation by pressing the designated buttons.
Give it a try now, and note that in the appendix of this article you can find our chart with entries close to 40000!

## 40000 in Exponential Form

40000 in exponential form is ab, a is the base, and b is called the exponent, also known as index or power of the engineering notation of 40000.

You may think of the scientific notation as a special example of exponential numbers a^b – invented to display repeated multiplication efficiently – where the coefficient (significand) is 1 and the base equals 10.

Therefore the exponent (index) b is what defines how many times 10 x.

The term ab is called the exponential expression.

However, it’s important to understand that there is not a unique way to express 40000 in such a way; in fact there are countless possibilities:

By definition of exponential form, not only the index and coefficient, but also the base can be varied.

In contrast to using scientific notation for 40000, which has 10 as base.

While on the subject, here are some more numbers you might be interested in:
In the following paragraph we elaborate on using scientific notation as a power of 10.

## 40000 as a Power of 10

As outlined above, there is more than one way to write 40000 as a power of 10.

Like any number written in scientific notation, 40000 has a significand (sometimes called a mantissa or coefficient) of 4 multiplied by the power of ten 10000 expressed by the base 10 and index 4:

40000 = 4 x 10000 = 4 × 104.

Writing a number as a power of 10 is a “shorthand” form to express a repeated multiplication, too.

By the way: There are two conventions for naming powers of ten, known as the long and the short scale.

In English, the short scale is used almost everywhere these days, including on this website.

En passant: Sites which are related to scientific notation, exponents or numbers can be found in the “recommended sites section” in our sidebar.

In the section ahead, we are going to shed a light on the frequently asked questions in the context.

You may be surprised to learn what other people like to know.

## FAQs

Click on the question which is of interest to you to see the collapsible content answer.

### What is 40000 in scientific notation?

40,000 written in scientific notation is 4 × 104.

### How do you write 40000 as an exponent?

The exponent form of 40000 is 4 × 104.

### How do you read 4E+4 in scientific notation?

As the letter E is used to express “10 to the power of”, 4E+4 means “4 times 10 to the power of 4”.

### What is the benefit of writing 40000 in scientific notation?

It allows you to write 40000 compactly, and you may also use it for the comparison of numbers without the need of counting zeros.

### How do you write 40000 in scientific notation?

Answer: You write it as 4 × 104 with superscript or 4 × 10^4 using a caret.

If anything remains unclear, or if something important is missing, then do not hesitate getting in touch with us: we will reply asap.

Ready for our scientific notation quiz and practice? Click the quiz image.

We are constantly aiming to improve our site, and truly appreciate your feedback.

Next is the summary of this post, along with some additional information in the context of the subject matter.

## Summary

If you’re still here reading, you have made it almost through the end of our article.

In conclusion, 40000 = 4.0 × 104.

Our clip showed you all steps including moving the decimal point of the original number to obtain the normalized scientific notation.

“Standard index form”, “power of 10”, “e-notation” as well as “exponential form” mean exactly or nearly the same, just to name a few.

So, if you have found us searching for a synonym term such as notation form, then you have also learned all you wanted to know about it.

In this post we have also provided you with an app, our table in the appendix, and a frequently asked questions section to explain you all about the scientific notation of forty thousand.

Instead of superscript, you may also come across the caret symbol: 4 × 10^4.

Note that you can locate many numbers including, but not limited to 40000 using the search form in the sidebar and in the menu of this post.

More about the topic can be encountered on Scientific Notation; we explain, for instance, in which case to move the decimal separator n places to the right.

In addition, there we show you how to convert the scientific notation of a number to decimal places using examples, discuss positive and negative numbers, etc.

For questions and anything else you might have on forty thousand in standard index form, fill in the comment form at the end of this article.

As another option, you may get in touch with us by email using a meaningful subject line such as 40000 in scientific notation, or similar.

If our content about 40000 as a power of 10 has been useful to you, then make sure to hit the sharing buttons to help spreading the word about us.

Last, but not least, don’t forget to install our absolutely free app, or to place a bookmark scientific notation in your browser.

And come back soon – we are really looking forward to it!

## Table

Here’s our quick conversion chart:
Decimal ValueScientific Notation
399503.995 × 104
399513.9951 × 104
399523.9952 × 104
399533.9953 × 104
399543.9954 × 104
399553.9955 × 104
399563.9956 × 104
399573.9957 × 104
399583.9958 × 104
399593.9959 × 104
399603.996 × 104
399613.9961 × 104
399623.9962 × 104
399633.9963 × 104
399643.9964 × 104
399653.9965 × 104
399663.9966 × 104
399673.9967 × 104
399683.9968 × 104
399693.9969 × 104
399703.997 × 104
399713.9971 × 104
399723.9972 × 104
399733.9973 × 104
399743.9974 × 104
399753.9975 × 104
399763.9976 × 104
399773.9977 × 104
399783.9978 × 104
399793.9979 × 104
399803.998 × 104
399813.9981 × 104
399823.9982 × 104
399833.9983 × 104
399843.9984 × 104
399853.9985 × 104
399863.9986 × 104
399873.9987 × 104
399883.9988 × 104
399893.9989 × 104
399903.999 × 104
399913.9991 × 104
399923.9992 × 104
399933.9993 × 104
399943.9994 × 104
399953.9995 × 104
399963.9996 × 104
399973.9997 × 104
399983.9998 × 104
399993.9999 × 104
400004 × 104
400014.0001 × 104
400024.0002 × 104
400034.0003 × 104
400044.0004 × 104
400054.0005 × 104
400064.0006 × 104
400074.0007 × 104
400084.0008 × 104
400094.0009 × 104
400104.001 × 104
400114.0011 × 104
400124.0012 × 104
400134.0013 × 104
400144.0014 × 104
400154.0015 × 104
400164.0016 × 104
400174.0017 × 104
400184.0018 × 104
400194.0019 × 104
400204.002 × 104
400214.0021 × 104
400224.0022 × 104
400234.0023 × 104
400244.0024 × 104
400254.0025 × 104
400264.0026 × 104
400274.0027 × 104
400284.0028 × 104
400294.0029 × 104
400304.003 × 104
400314.0031 × 104
400324.0032 × 104
400334.0033 × 104
400344.0034 × 104
400354.0035 × 104
400364.0036 × 104
400374.0037 × 104
400384.0038 × 104
400394.0039 × 104
400404.004 × 104
400414.0041 × 104
400424.0042 × 104
400434.0043 × 104
400444.0044 × 104
400454.0045 × 104
400464.0046 × 104
400474.0047 × 104
400484.0048 × 104
400494.0049 × 104
400504.005 × 104