Place value models up to thousands

Learning Objectives Identify the value of each digit in a four-digit number. Represent a number up to 9,999 using base-ten block models (physical or drawings). Write a number in standard form when given a place value model. Write a number in expanded form based on its place value. Use a place value chart to organize and understand four-digit numbers. Explain that a digit in one place represents ten times what it represents in the place to its right. Have you ever seen a giant jar of gumballs and wondered how you could count them all? 🤔 Place value helps us understand big numbers like that! In this lesson, we will explore how numbers up to the thousands are built. We will use special models like base-ten blocks and drawings to see the value of each digit. Understanding plac...

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 3,841, the digits are 3, 8, 4, and 1. Place ValueThe value a digit has because of its position in a number.In 5,264, the digit 2 is in the hundreds place, so its value is 200. Base-Ten BlocksModels used to show place value. A small cube is 1 (one), a rod is 10 (ten), a flat is 100 (hundred), and a large cube is 1,000 (thousand).The number 1,234 can be shown with 1 large cube, 2 flats, 3 rods, and 4 small cubes. Standard FormThe usual way of writing a number using digits.The standard form of one thousand, three hundred twenty-five is 1,325. Expanded FormA way of writing a number to show the value of each digit as a sum.The expanded form of 4,572 is 4,000 + 500 + 7...

The 10-to-1 Rule Each place value is 10 times the value of the place to its right. This rule explains how the places are related. For example, it takes 10 ones to make a ten, 10 tens to make a hundred, and 10 hundreds to make a thousand. Expanded Form Pattern Number = (Thousands Digit \times 1000) + (Hundreds Digit \times 100) + (Tens Digit \times 10) + (Ones Digit \times 1) Use this pattern to break any number into the sum of its place values. This helps you see the true value of each digit. Zero as a Placeholder 0 A zero in a number means there are 'none' of that place value. It's very important because it holds the place for other digits. For example, in 5,021, the 0 shows there are no hundreds.