Convert between standard and expanded form

Learning Objectives Identify the place and value of each digit in a number up to the thousands place. Write a 3-digit number in expanded form. Write a 4-digit number, including those with zeros, in expanded form. Convert a number from expanded form back into standard form. Explain how place value helps break a number apart into expanded form. If you had 4 hundred-dollar bills, 5 ten-dollar bills, and 2 one-dollar bills, how much money would you have? 💰 You just used expanded form to figure it out! In this lesson, we will learn two ways to write numbers: the short way (standard form) and a stretched-out way (expanded form). Learning this helps us understand what numbers really mean and makes bigger numbers easier to work with. Real-World Applications Understanding the val...

TermDefinitionExample Standard FormThe normal, everyday way we write numbers using digits.The standard form for the number three hundred fifty-two is 352. Expanded FormA way of writing a number by showing the value of each digit added together. It's like stretching the number out to see all its parts.The expanded form of 352 is 300 + 50 + 2. Place ValueThe value of a digit based on its position in a number (e.g., ones, tens, hundreds, thousands).In the number 352, the 3 is in the hundreds place, so its value is 300. DigitAny of the symbols used to write numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.The number 352 has three digits: 3, 5, and 2. ValueHow much a digit is worth in a number.In the number 352, the value of the digit 5 is 50.

Converting from Standard Form to Expanded Form ABC = (A \times 100) + (B \times 10) + (C \times 1) To change a number from standard form to expanded form, you find the value of each digit and write it as an addition sentence. For 543, the 5 is worth 500, the 4 is worth 40, and the 3 is worth 3. So, 543 = 500 + 40 + 3. Converting from Expanded Form to Standard Form (A \times 100) + (B \times 10) + (C \times 1) = ABC To change a number from expanded form to standard form, you add the values together. The easiest way is to use the digits from each value to build the number. For 500 + 40 + 3, you take the 5, the 4, and the 3 to make the number 543.