Which mathematical method involves writing larger numbers in a shorter form?

The method that involves writing larger numbers in a shorter form is scientific notation. This approach is particularly useful for simplifying the representation of very large or very small numbers, making them easier to read, compare, and work with. In scientific notation, numbers are expressed as a product of a number between 1 and 10 and a power of 10. For example, the number 300,000 can be written as 3.0 × 10^5. This method allows quick comprehension of the scale of a number while retaining its value and precision.

Other methods such as standard form, expanded form, and decimal form serve different purposes. Standard form typically refers to the conventional way of writing numbers without exponentiation. Expanded form breaks down a number into the sum of each digit’s value, illustrating how a number is constructed from its digits. Decimal form simply represents numbers using a decimal point but is not specifically designed for shortening large numbers.