24 million in scientific notation is 2.4 × 107.
This means 24 million can be expressed as 2.4 multiplied by 10 raised to the power of 7, which condenses the large number into a compact, readable format often used in science and engineering.
Conversion Tool
Result in scientific:
Conversion Formula
To convert a value in millions to scientific notation, multiply the number by 1,000,000 (which is 106), then rewrite the full number as a decimal between 1 and 10 times 10 raised to an exponent.
The formula looks like this:
Scientific Notation = (Value in million) × 106 = a × 10n
Where “a” is a number between 1 and 10, and “n” is an integer representing how many places the decimal point moves.
For example, converting 24 million:
- 24 million = 24 × 106
- Rewrite 24 as 2.4 × 10 (because 24 = 2.4 × 10)
- So, 24 × 106 = 2.4 × 10 × 106 = 2.4 × 107
Thus, 24 million equals 2.4 × 107 in scientific notation.
Conversion Example
- Example: Convert 5 million
- Start with 5 million = 5 × 106
- 5 is already between 1 and 10, so no need to change it
- Result: 5 × 106
- Example: Convert 12 million
- 12 million = 12 × 106
- Rewrite 12 as 1.2 × 10
- 12 × 106 = 1.2 × 10 × 106 = 1.2 × 107
- Example: Convert 0.3 million
- 0.3 million = 0.3 × 106 = 300,000
- Rewrite 300,000 as 3 × 105
- Result: 3 × 105
- Example: Convert 47 million
- 47 million = 47 × 106
- Rewrite 47 as 4.7 × 10
- 47 × 106 = 4.7 × 10 × 106 = 4.7 × 107
Conversion Chart
| Million Value | Scientific Notation |
|---|---|
| -1.0 | -1.0 × 106 |
| 0.0 | 0 × 106 |
| 1.0 | 1.0 × 106 |
| 2.0 | 2.0 × 106 |
| 3.0 | 3.0 × 106 |
| 4.0 | 4.0 × 106 |
| 5.0 | 5.0 × 106 |
| 6.0 | 6.0 × 106 |
| 7.0 | 7.0 × 106 |
| 8.0 | 8.0 × 106 |
| 9.0 | 9.0 × 106 |
| 10.0 | 1.0 × 107 |
| 15.0 | 1.5 × 107 |
| 20.0 | 2.0 × 107 |
| 24.0 | 2.4 × 107 |
| 30.0 | 3.0 × 107 |
| 40.0 | 4.0 × 107 |
| 49.0 | 4.9 × 107 |
This chart shows million values in the left column and their equivalent scientific notation on the right. You can find your number in million, then read across to see the scientific format.
Related Conversion Questions
- How to express 24 million in scientific notation correctly?
- What is 24 million written as a power of ten?
- Can 24 million be shown as 2.4 times ten to the seventh power?
- How do you convert 24 million into scientific form step-by-step?
- Is 24 million the same as 2.4e7 in science writing?
- What exponent should I use to write 24 million in scientific notation?
- How does 24 million relate to 10 raised to a power in math?
Conversion Definitions
Million: A million is the number 1,000,000, which is one thousand thousands. It is a large counting number used in finance, population counts, and other measurements to represent quantities much bigger than thousands but smaller than billions.
Scientific: Scientific notation is a way to write very large or very small numbers easily using powers of ten. It expresses numbers as the product of a number between 1 and 10 and 10 raised to an integer, making calculations and reading simpler.
Conversion FAQs
Why do we multiply million values by 1,000,000 when converting to scientific notation?
Million means one million units, which is 1,000,000 or 106. To find the actual number from millions, you multiply the given value by 1,000,000, then convert it into scientific notation by adjusting the decimal point and exponent.
Can negative million values be converted to scientific notation the same way?
Yes, negative million values follow the same process. You multiply the negative number by 1,000,000 and write the result in scientific notation, keeping the negative sign in front. For example, -3 million is -3 × 106.
Is it necessary to always express the decimal part in scientific notation between 1 and 10?
In proper scientific notation, yes. The decimal part must be at least 1 but less than 10. This standardizes the format and helps avoid confusion, although sometimes informal expressions may not follow this rule strictly.
How do you convert very small million fractions like 0.001 million into scientific notation?
First multiply 0.001 by 1,000,000, resulting in 1,000. Then write 1,000 as 1 × 103. So, 0.001 million is 1 × 103 in scientific notation.
Why is scientific notation useful when dealing with millions of anything?
Scientific notation simplifies reading, writing, and calculating large numbers like millions, reducing errors and saving space. It’s especially useful in science and engineering where numbers can be huge or tiny, making them easier to manipulate.