What is the standard form of 45,000,000?

The standard form of 45,000,000 is \( 4.5 \times 10^7 \).

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 45,000,000, you start by identifying the significant figures, which are 4.5 in this case. Next, you count how many places the decimal point needs to move to change 4.5 back into 45,000,000. Here, the decimal point moves 7 places to the right. Therefore, the power of 10 is 7, and the number in standard form is written as \( 4.5 \times 10^7 \).

This method helps simplify calculations and makes it easier to read and compare very large or very small numbers. For example, instead of writing out all the zeros in 45,000,000, you can quickly see that it is \( 4.5 \times 10^7 \), which is much more compact and easier to work with in mathematical operations.