Section 1
Writing Numbers in Expanded Form (Sum of Products)
Property
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.
In this Grade 4 Pengi Math lesson, students learn to read and write multi-digit whole numbers in three forms: standard form using base-ten numerals, word form using number names, and expanded form as a sum of products. Part of Chapter 1 on Place Value Fundamentals and Estimation, the lesson builds core number sense skills essential for working with large whole numbers.
Section 1
Writing Numbers in Expanded Form (Sum of Products)
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.
Section 2
Converting from Word Form to Standard and Expanded Form
To convert a number from word form to standard form, identify the value of each part of the name (e.g., "three hundred thousand" becomes ) and sum the values. To write it in expanded form, write the sum of the values of each digit. For example, "three hundred twenty-five" is .
Given "fifty-two thousand, one hundred eight":
Given "four hundred six thousand, seven hundred thirty":
Given "nine hundred thousand, fifty-one":
This skill involves translating number names into their numerical representations. First, identify the place value terms like "thousand" and "hundred" to structure the number. Then, write the digits in their correct places, using zeros as placeholders for any missing values. Finally, express the number as a sum of each digit''s value to create the expanded form.
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Section 1
Writing Numbers in Expanded Form (Sum of Products)
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.
Section 2
Converting from Word Form to Standard and Expanded Form
To convert a number from word form to standard form, identify the value of each part of the name (e.g., "three hundred thousand" becomes ) and sum the values. To write it in expanded form, write the sum of the values of each digit. For example, "three hundred twenty-five" is .
Given "fifty-two thousand, one hundred eight":
Given "four hundred six thousand, seven hundred thirty":
Given "nine hundred thousand, fifty-one":
This skill involves translating number names into their numerical representations. First, identify the place value terms like "thousand" and "hundred" to structure the number. Then, write the digits in their correct places, using zeros as placeholders for any missing values. Finally, express the number as a sum of each digit''s value to create the expanded form.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter