Question

How do you write 1,000,000,000 in scientific notation?

Answer 1

Hint: Scientific notation is a means of expressing very large or small numbers by powers of ten so that the values are more easily understood. A number in scientific notation form is in the form \[A{{.10}^{b}}\] where \[A\] is a rational number in decimal form. It helps to use the given number easily for bigger calculations.

Complete step by step answer:
To convert a n-digit number into scientific form by moving the decimal point at the right most point of the number by (n-1) times to the left side and multiplied by (n-1) powers of 10.
As per the given question, we need to express the given number in scientific notation. And, we are provided with the number 1000000000.
When we write numbers in scientific notation, we want one zero before the decimal. This means we need to loop it nine times to the left.
The number of times we looped it is our exponent, and since we looped left, it is positive. If we loop it to the right side, then the power will be negative.
Here, for 1000000000, looping means we need to move the decimal point 9 places to the left and multiply by 10 to the power 9. Thus, we get
\[\Rightarrow 1000000000=1000000000.0=1.0\times {{10}^{9}}\]

\[\therefore 1.0\times {{10}^{9}}\] is the scientific notation of 1,000,000,000.

Note: In order to solve these types of problems, we should have enough knowledge about the scientific notation. We can find the scientific form of 1,000,000,000 by simply writing the first digit to the left of decimal and all the nine digits to the right side of the decimal and multiplying with 1000. We should avoid calculation mistakes while dividing with multiples of 10.