Adding 3-Digit Numbers With Regrouping Explained

MatholiaChannel

This educational video provides a clear, step-by-step demonstration of adding three-digit numbers up to 1000 involving regrouping. It progresses from concrete visual models using base-10 blocks to abstract numerical algorithms. The video breaks down the addition process by place value, starting with the ones, moving to the tens, and finishing with the hundreds, explicitly showing how and why numbers are regrouped (carried over) when a sum exceeds nine in any given column. The content focuses on the core concepts of place value and the standard algorithm for addition. Key themes include the physical representation of numbers using hundreds, tens, and ones blocks, and the mechanical process of regrouping—converting ten ones into one ten, or ten tens into one hundred. The video uses three distinct examples: first regrouping ones to tens, then regrouping tens to hundreds, and finally a complex problem requiring regrouping in multiple columns without visual aids. For educators, this video serves as an excellent bridge between manipulative-based learning and standard written arithmetic. It is particularly useful for introducing or reinforcing the concept of "carrying over" by visually proving that 10 ones equal 1 ten. Teachers can use this video to model the procedure before having students practice with their own physical base-10 blocks or whiteboards, supporting learners who struggle to understand the abstract rules of vertical addition.