How do you write 0.00076 in standard form?

0.00076 in standard form is written as \(7.6 \times 10^{-4}\).

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. 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 0.00076, you first identify the significant figures, which are 7.6. Next, you count how many places the decimal point needs to move to the right to get from 0.00076 to 7.6. In this case, the decimal point moves 4 places to the right. Since the original number is less than 1, the exponent will be negative.

Therefore, 0.00076 can be written as \(7.6 \times 10^{-4}\). The negative exponent indicates that the decimal point has been moved to the right, converting a small number into a standard form. This method helps simplify calculations and makes it easier to compare and analyse very large or very small numbers.