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Writing whole numbers in expanded form

Writing whole numbers in expanded form

Writing whole numbers in expanded form involves breaking down the number into the sum of its individual place values. For example, the number 345 can be expressed in expanded form as:

300+40+5300 + 40 + 5

Each digit is multiplied by its corresponding place value (hundreds, tens, ones) to show the number's value more clearly. This method helps in understanding the value of each digit based on its position in the number.

Part 1: Writing a number in expanded form

Sal writes 14,897 in expanded form.

When studying "Writing a number in expanded form," focus on these key points:

  1. Definition: Expanded form expresses a number as the sum of values of its digits based on their place value.

  2. Place Value: Understand the place value system (units, tens, hundreds, etc.) to correctly identify the value of each digit in the number.

  3. Examples:

    • For example, the number 342 can be written as 300 + 40 + 2.
    • Understand how to break down larger numbers similarly.
  4. Writing Method: Use the following method:

    • Identify each digit and its place value.
    • Multiply the digit by its corresponding place value.
    • Write the sum of these products.
  5. Practice: Engage in exercises where you convert various numbers into expanded form to reinforce learning.

  6. Variations: Know that expanded form can also include decimal numbers and can be expressed in terms of addition of fractions if applicable.

These points will help build a solid understanding of writing numbers in expanded form.