
What is 6 million written in scientific notation?
Answer
446.7k+ views
Hint: First of all one million has 6 zeros, so 6 million can be written as $6000000$. Now, scientific notation means we have to express a very large number as a number between 1 and 10 multiplied by a power of 10.
$ m \times {10^n}$, where m is between 1 and 10.
So, we have to express 6 million in $m \times {10^n}$ form, which is discussed below in detail.
Complete step by step solution:
In this question, we have to write the scientific notation of 6 million.
First of all, what does scientific notation mean?
Scientific notation is used to express very small or very large numbers efficiently. A number is expressed in scientific notation as a number between 1 and 10 multiplied by a power of 10.
Hence, numbers in scientific form are written as
$ \Rightarrow m \times {10^n}$, where m is between 1 and 10.
For example: 350000 can be expressed as $3.5 \times {10^5}$ in scientific notation.
Now, we have to express 6 million in scientific notation.
Now, a million has 6 zeros and hence 6 million can be written as $6000000$.
Here, $m = 6$ and $n = 6$.
Therefore, 6 million in scientific notation will be $ 6 \times {10^6}$.
Note:
We can similarly convert a scientific form number into a decimal form number as we did above.
To convert a number from scientific form to decimal form, write m followed by n zeros.
For example: $6 \times {10^6}$
Here, $m = 6$ and $n = 6$. Therefore the decimal form will be $6000000$.
$ m \times {10^n}$, where m is between 1 and 10.
So, we have to express 6 million in $m \times {10^n}$ form, which is discussed below in detail.
Complete step by step solution:
In this question, we have to write the scientific notation of 6 million.
First of all, what does scientific notation mean?
Scientific notation is used to express very small or very large numbers efficiently. A number is expressed in scientific notation as a number between 1 and 10 multiplied by a power of 10.
Hence, numbers in scientific form are written as
$ \Rightarrow m \times {10^n}$, where m is between 1 and 10.
For example: 350000 can be expressed as $3.5 \times {10^5}$ in scientific notation.
Now, we have to express 6 million in scientific notation.
Now, a million has 6 zeros and hence 6 million can be written as $6000000$.
Here, $m = 6$ and $n = 6$.
Therefore, 6 million in scientific notation will be $ 6 \times {10^6}$.
Note:
We can similarly convert a scientific form number into a decimal form number as we did above.
To convert a number from scientific form to decimal form, write m followed by n zeros.
For example: $6 \times {10^6}$
Here, $m = 6$ and $n = 6$. Therefore the decimal form will be $6000000$.
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