Expanded Notation

Topic

Place Value

Definition

Expanded notation is a way of writing numbers to show the value of each digit using addition and multiplication.

Description

Expanded notation is a method of expressing numbers by showing the value of each digit using addition and multiplication. This notation helps students understand the place value system and the role of each digit in forming a number. For example, the number 345 can be written in expanded notation as 

3 × 100 + 4 × 10 + 5 × 1

In real-world applications, expanded notation is used in financial analysis, data representation, and scientific calculations to provide clarity and detail. It helps in understanding the structure of numbers and making precise calculations.

In algebra, expanded notation is important for simplifying expressions and solving equations. It helps in breaking down complex numbers into simpler components for easier manipulation.

Teaching expanded notation is relevant to math education because it enhances students' understanding of the number system and place value. It also helps them develop strong numerical fluency and prepares them for more advanced mathematical concepts.

Teacher's Script: "Let's write 789 in expanded notation. It's 7 × 100 + 8 × 10 + 9 × 1, showing the value of each digit."

For a complete collection of terms related to Place Value click on this link: Place Value Collection