Base 10 Number System
Expanded Form
Place Value
In the base 10 number system, each digit in a number represents a value based on its position in the number. The place value of a digit in a number determines its value in relation to other digits in the number.
For example, in the number 3456, the 3 represents 3000 (3 x 1000), the 4 represents 400 (4 x 100), the 5 represents 50 (5 x 10), and the 6 represents 6.
The expanded form of a number breaks down the number into its individual place values, making it easier to understand the value of each digit in the number. In the example above, the expanded form of 3456 would be 3000 + 400 + 50 + 6.
Place value is crucial in understanding the significance of each digit in a number and allows us to perform arithmetic operations such as addition, subtraction, multiplication, and division.