Final answer:
The number 8,128 in expanded form is written as 8000+100+20+8. It's a demonstration of place value, with each digit multiplied by its corresponding place value to illustrate the composition of the number.
Step-by-step explanation:
The student is asking to write the number 8,128 in expanded form. The expanded form of a number breaks down the number to show the value of each digit. For the number 8,128, this form would express the number as a sum of each digit multiplied by its corresponding place value. This means that the expanded form of 8,128 is 8000+100+20+8.
In mathematics, understanding how to write numbers in expanded form is important as it helps with basic computation and an understanding of place value. This task is also a stepping stone towards grasping more complex numerical concepts including scientific notation, which often involves expressing large numbers as a product of a number between 1 and 10 and a power of 10. This expression heavily relies on a solid comprehension of place value.