Add two numbers with four or more digits

Learning Objectives Correctly align numbers with four or more digits by place value before adding. Add numbers in the ones, tens, hundreds, and thousands columns. Regroup (carry over) numbers from one place value column to the next when the sum is 10 or greater. Find the sum of two numbers when they have a different number of digits (e.g., a four-digit and a five-digit number). Solve word problems that require adding two numbers with four or more digits. Check their addition answers for reasonableness using estimation. Have you ever wondered how many LEGO bricks are in two giant sets combined? 🧱 Let's learn how to add really big numbers to find out! In this lesson, we will learn the step-by-step method for adding numbers that have four, five, or even more digits. This...

TermDefinitionExample Place ValueThe value of a digit based on its position in a number (ones, tens, hundreds, thousands, etc.).In the number 8,125, the 8 is in the thousands place and its value is 8,000. AddendAny of the numbers that are being added together.In the problem 2,500 + 1,500 = 4,000, the numbers 2,500 and 1,500 are the addends. SumThe total or the answer you get when you add two or more numbers together.In the problem 2,500 + 1,500 = 4,000, the number 4,000 is the sum. Column AdditionA way to add numbers by lining them up vertically so that the digits in the same place value are in the same column.To add 1,234 + 56, you write it with the 4 over the 6 and the 3 over the 5. Regrouping (or Carrying Over)When the sum of a column is 10 or more, you move the tens digit of that sum...

Place Value Alignment Line up addends vertically by place value. Before you start adding, you must make sure the ones are over the ones, tens over tens, hundreds over hundreds, and so on. This keeps your columns organized and is the most important step. Right-to-Left Addition Start adding in the column on the far right (the ones place) and move left. Always begin your addition with the ones column. This is necessary because you might need to regroup, which affects the next column to the left. The Regrouping Rule If a column's sum is \geq 10, write the ones digit and carry the tens digit. When the sum in any column is a two-digit number (like 17), write the last digit (7) under that column and carry the first digit (1) to the top of the next column to the left to...