Question

What is 800,000,000 in scientific notation?

Answer 1

Hint: We know that we can represent every number, present on the number line, in scientific notations. The general form of any scientific notation is $a\times {{10}^{b}}$, where a can either be an integer or a decimal, and b is an integer value.

Complete step-by-step answer:
We know that a number represented in scientific notations has two parts. First is the digit or decimal part, and second is the part containing powers of 10.
We also know that this first part contains either an integer or a decimal number. The range of this number is [1,10), which means that this number can either be 1, or greater than 1, but always less than 10.
The second part, as we are aware, gives the information about the position of the decimal point, or the number of trailing zeroes, where trailing zeroes are the zeroes that are to the right of least significant digit.
Now, according to our question, we need to write the number 800,000,000 in scientific notation.
We can clearly see that in the given number 800,000,000 we have 8 trailing zeroes.
So, we can write
$800,000,000=8\times 100,000,000$
Or, we can also write
$800,000,000=8\times {{10}^{8}}$
Here, the first part of $8\times {{10}^{8}}$ is 8, which is in the range [1,10).
Thus, we can say that the scientific notation of 800,000,000 is $8\times {{10}^{8}}$.
Hence, the scientific notation of 800,000,000 is $8\times {{10}^{8}}$.

Note: We must keep in mind that here the number of significant digits is 1. But, if our given number contains a decimal point or multiple significant digits, then while writing the first part, the decimal point should always be placed right after the first digit. Then we can adjust the power of 10 accordingly.