How do you write $70$ million in scientific notation?
Answer
599.4k+ views
Hint: We know that a million contains six zeros. So, in that case, $10$ million contains a $10$ and six zeros. So, ten million contains a total of seven zeros. When we multiply a number with ten million, the product will contain seven zeros and the number at the leftmost side.
Complete step-by-step answer:
Let us consider the number $70$ million.
We need to write this number in the scientific notation. That means, we need to write the exponential form of the given number.
This number can be written as $7,00,00,000.$
Let us consider the fact that we multiply the nonzero digits first and then write as many zeros as the two numbers contain at the right end of the product when two numbers are multiplied.
From this we get, $7,00,00,000=70\times 1000000.$ Because, when we multiply $70$ and $1,$ we will get $70.$ Then we add six zeros at the right end.
In the same way, we can write it as $7,00,00,000=7\times 10000000.$
Now, we are going to recollect another fact. That is, $1,00,00,000$ can be written as the seventh power of $10.$ That is, $1,00,00,000={{10}^{7}}.$ Because the product of seven tens is ten million. That is, $10\times 10\times 10\times 10\times 10\times 10\times 10=1,00,00,000.$
So, we will get $7,00,00,000=70\times 1000000=70\times {{10}^{6}}.$
We know that $70=7\times 10.$ So, we will get $7,00,00,000=7\times 10\times {{10}^{6}}.$
That is, $7,00,00,000=7\times {{10}^{7}}.$
The above obtained is the exponential form of the given number. We know that the scientific notation of a number is its exponential form.
Hence the scientific notation of the given number is given by $7\times {{10}^{7}}.$
Note: We can write $70$ million as a product of $70$ and one million. That is $70\times 10,00,000.$ We can also write $70$ million as a product of $7$ and ten million. That is $7\times 1,00,00,000.$ We know that the scientific notation is the exponential form of a number.
Complete step-by-step answer:
Let us consider the number $70$ million.
We need to write this number in the scientific notation. That means, we need to write the exponential form of the given number.
This number can be written as $7,00,00,000.$
Let us consider the fact that we multiply the nonzero digits first and then write as many zeros as the two numbers contain at the right end of the product when two numbers are multiplied.
From this we get, $7,00,00,000=70\times 1000000.$ Because, when we multiply $70$ and $1,$ we will get $70.$ Then we add six zeros at the right end.
In the same way, we can write it as $7,00,00,000=7\times 10000000.$
Now, we are going to recollect another fact. That is, $1,00,00,000$ can be written as the seventh power of $10.$ That is, $1,00,00,000={{10}^{7}}.$ Because the product of seven tens is ten million. That is, $10\times 10\times 10\times 10\times 10\times 10\times 10=1,00,00,000.$
So, we will get $7,00,00,000=70\times 1000000=70\times {{10}^{6}}.$
We know that $70=7\times 10.$ So, we will get $7,00,00,000=7\times 10\times {{10}^{6}}.$
That is, $7,00,00,000=7\times {{10}^{7}}.$
The above obtained is the exponential form of the given number. We know that the scientific notation of a number is its exponential form.
Hence the scientific notation of the given number is given by $7\times {{10}^{7}}.$
Note: We can write $70$ million as a product of $70$ and one million. That is $70\times 10,00,000.$ We can also write $70$ million as a product of $7$ and ten million. That is $7\times 1,00,00,000.$ We know that the scientific notation is the exponential form of a number.
Recently Updated Pages
How are maps more helpful than globes class 6 social science CBSE

Who was not allowed to study the Vedas a Brahmin b class 6 social science CBSE

Where was Kalpana Chawla born Why is she called an class 6 english CBSE

Give two examples each of modes of transport used on class 6 physics CBSE

Why is the Earth called blue planet class 6 social science CBSE

Africa is a hot continent because A There are many class 6 social science CBSE

Trending doubts
Give 10 examples for herbs , shrubs , climbers , creepers

Check whether the given numbers are divisible by 11 class 6 maths CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?


