What is the sum of the place value of each digit in a number called?

The sum of the place value of each digit in a number is called the expanded form of the number.

According to the provided reference, representing a number as the sum of the place values of its digits is known as its expanded form. For example, the expanded form of 523 is (500 + 20 + 3).

In simple terms, the expanded form breaks down a number to show the value of each digit based on its position (ones, tens, hundreds, etc.).

Here's a breakdown of the concept with examples:

• Understanding Place Value: Each digit in a number has a specific place value determined by its position.

  • For example, in the number 456:
    • 6 is in the ones place (value = 6)
    • 5 is in the tens place (value = 50)
    • 4 is in the hundreds place (value = 400)

• Expanded Form Explained: The expanded form expresses the number as the sum of these place values.

  • Example 1: Number = 279

    • Expanded Form: 200 + 70 + 9

  • Example 2: Number = 1053

    • Expanded Form: 1000 + 0 + 50 + 3
    • (Note: We can include 0, or omit it).

  • Example 3: Number = 523 (as mentioned in the reference)

    • Expanded Form: 500 + 20 + 3

Therefore, the expanded form is a way to represent a number by showing the sum of the values of each of its digits, clearly demonstrating place value.