Writing Numbers in Expanded Form (Sum of Products)
Writing Numbers in Expanded Form (Sum of Products) is a Grade 4 math skill in enVision Mathematics, Chapter 1: Generalize Place Value Understanding. Students express multi-digit numbers as a sum of products, where each digit is multiplied by its place value (ones, tens, hundreds, thousands, etc.).
Key Concepts
Expanded form can be written as the sum of each digit multiplied by its place value. This shows how the value of each digit is calculated.
Common Questions
What is expanded form as a sum of products?
Expanded form as a sum of products means writing a number by multiplying each digit by its place value and adding the results. For example, 3,472 equals (3 times 1000) plus (4 times 100) plus (7 times 10) plus (2 times 1).
How do you write a number in expanded form?
Write each digit times its place value as a product, then connect all the products with addition signs. This shows the value each digit contributes.
What is an example of expanded form as a sum of products?
The number 5,034 in expanded form is (5 times 1000) plus (0 times 100) plus (3 times 10) plus (4 times 1), or 5000 plus 0 plus 30 plus 4.
Why does expanded form help with place value understanding?
Expanded form makes the value of each digit explicit, showing students exactly how much each digit contributes to the total value of the number.
What chapter covers expanded form in enVision Mathematics Grade 4?
Writing numbers in expanded form as a sum of products is covered in Chapter 1: Generalize Place Value Understanding in enVision Mathematics Grade 4.