Expanded form is a way of writing a number by breaking it down into the sum of the values of each digit, according to its place value. Instead of writing the number as a whole, expanded form expresses it as the sum of each digit multiplied by its place value. For example, the number 943 in expanded form is written as: 943=900+40+3943=900+40+3943=900+40+3 Here, 9 is in the hundreds place (worth 900), 4 is in the tens place (worth 40), and 3 is in the ones place (worth 3)
. This method helps to clearly show the value of each digit in a number and is useful for understanding place value, performing arithmetic operations, comparing numbers, and rounding. It can also be applied to larger numbers and decimals by similarly breaking down each digit by its place value
. In summary, expanded form is the sum of each digit's value based on its position in the number, making the composition of the number explicit and easier to understand.
