Expanded form is a way to write a number by expressing the value of each digit according to its place value and then adding those values together. Instead of writing the number as a whole, expanded form breaks it down to show the value contributed by each digit in the number. For example, the number 834 in expanded form is written as: 800 + 30 + 4 Here, 8 is in the hundreds place, so it represents 800; 3 is in the tens place, representing 30; and 4 is in the ones place, representing 4
. Another example with a larger number is 23,791, which in expanded form is: 20,000 + 3,000 + 700 + 90 + 1 This shows the value of each digit based on its place value, making it easier to understand the number's composition
. Expanded form helps in understanding place value and developing number sense. It is also useful for adding large numbers without a calculator by breaking them down into parts
. In summary, expanded form expresses a number as the sum of each digit multiplied by its place value, clearly showing what each digit represents in the number