4-Digit Expanded Form

Worksheet Description

This worksheet is centered on the concept of writing four-digit numbers in expanded form. It provides a list of ten four-digit numbers and requires students to break each down into individual place values. An example is given at the top, showing the number 8,536 written in expanded form as “8 x 1,000 + 5 x 100 + 3 x 10 + 6”. Students must follow this format to express the given numbers as the sum of each digit multiplied by its place value.

The worksheet teaches students to understand and apply the expanded form of numbers, which emphasizes the value of each digit according to its position in a multi-digit number. It reinforces the base-ten system by showing how numbers are composed of units of thousands, hundreds, tens, and ones. This practice aids in building a concrete understanding of the numerical value associated with each place and prepares students for operations that involve breaking down or combining numbers, such as addition and subtraction. Mastery of expanded form also lays the groundwork for understanding properties of numbers and operations in higher mathematics.