Question

How do you write 92,900,000 in scientific notation?

Answer 1

Hint: This question is from the topic of pre-algebra. In this question, we will first remove all the zeroes and then we will multiply the number with 10 to the power of the number of zeroes. After that, we will put a decimal at that place so that the digits to the left side of the decimal will be one and the rest will be on the right side of the decimal. After that, we will multiply the more 10 to make the notation the same.

Complete step by step answer:
Let us solve this question.
In this question, we have asked to write 92,900,000 in scientific notation.
Here, we can see that in the number 92,900,000 there are a total 5 zeroes. So, after removing them we will multiply the number 929 with 10 to the power of 5.
We can write
\[92,900,000=929\times {{10}^{5}}\]
Now, we have to put a decimal so that there will be only one digit to the left side of the decimal. And, after putting the decimal, we will get 9.29. We can see that there are 2 digits after decimal, so the number 9.29 will be multiplied with 10 to the power of 2.
So, the number 92,900,000 can also be written as
\[92,900,000=9.29\times {{10}^{2}}\times {{10}^{5}}\]
As we know that if bases are same in multiplication, then the powers are being added, so we can write
\[92,900,000=9.29\times {{10}^{2+5}}=9.29\times {{10}^{7}}\]

So, the scientific notation of 92,900,000 will be \[9.29\times {{10}^{7}}\].

Note: We should have a better knowledge in the topic of pre-algebra to solve this type of question easily. Scientific notation means in a number there should be only one digit on the left side of the decimal and the rest should be on the right side of the decimal. The digit on the left side of decimal should not be zero.