What is the standard form of 9,800,000?

The standard form of 9,800,000 is \(9.8 \times 10^6\).

Standard form, also known as scientific notation, is a way of writing very large or very small numbers in a more concise and manageable format. It is particularly useful in fields like science and engineering where such numbers frequently occur. To convert a number into standard form, you need to express it as a product of a number between 1 and 10, and a power of 10.

For the number 9,800,000, you start by identifying the significant figures, which are 9.8 in this case. Next, you count how many places the decimal point has to move to the left to get from 9,800,000 to 9.8. Here, the decimal point moves 6 places to the left. This movement is represented as a power of 10. Therefore, 9,800,000 can be written as \(9.8 \times 10^6\).

In standard form, the number before the multiplication sign (in this case, 9.8) is called the coefficient, and it must be a number between 1 and 10. The exponent (in this case, 6) indicates how many places the decimal point has moved. If the original number is very large, the exponent will be positive. If the number is very small (less than 1), the exponent will be negative. This method simplifies calculations and makes it easier to read and write very large or very small numbers.