Convert to/from a number

Learning Objectives Identify the place value of a digit in a number up to the thousands place. Convert a number from standard form to expanded form. Convert a number from expanded form to standard form. Convert a number from standard form to word form. Convert a number from word form to standard form. Use a place value chart to build and break down numbers. Did you know a number like 524 is actually a secret code? 🕵️ Let's learn how to crack the code and write numbers in different ways! In this lesson, we will explore the three main ways to write a number: standard form, expanded form, and word form. Understanding these forms helps us see how big numbers are built and makes it easier to work with them in addition, subtraction, and more. Real-World Applications Writ...

TermDefinitionExample DigitA single symbol used to write numbers. The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.In the number 38, the digits are 3 and 8. Place ValueThe value of a digit based on its position in a number. Each place is 10 times bigger than the place to its right.In the number 642, the digit 6 is in the hundreds place, so its value is 600. Standard FormThe usual way we write a number using digits.The standard form of 'one hundred twenty-five' is 125. Expanded FormA way to write a number by showing the value of each digit as a sum.The expanded form of 783 is 700 + 80 + 3. Word FormA way to write a number using only words.The word form of 491 is 'four hundred ninety-one'.

Standard Form to Expanded Form Number(Th, H, T, O) = (Th \times 1000) + (H \times 100) + (T \times 10) + (O \times 1) To convert a number to expanded form, find the value of each digit and write it as an addition sentence. For 2,345, the 2 is 2000, the 3 is 300, the 4 is 40, and the 5 is 5. So, it's 2000 + 300 + 40 + 5. Expanded Form to Standard Form Value_1 + Value_2 + ... = Standard Number To convert from expanded form, add the values together. The easiest way is to use a place value chart and put each value in the correct column. For 800 + 20 + 7, you place 8 in the hundreds, 2 in the tens, and 7 in the ones to get 827.