Visualizing Addition Using Place Value Blocks

Khan Academy

This video provides a clear, visual explanation of place value and addition using the number 37 as a primary example. It begins by decomposing 37 into its constituent parts: three tens and seven ones, using both color-coded numerals and visual block representations (rods for tens and individual units for ones). This concrete visualization helps ground the abstract concept of place value for young learners. The video then introduces an addition problem: 37 + 2. Instead of using a standard vertical algorithm immediately, the narrator demonstrates the addition conceptually by adding two physical "one" blocks to the existing seven blocks. This highlights that when adding a single-digit number (that doesn't require regrouping), only the digit in the ones place changes, while the tens place remains constant. This resource is highly valuable for early elementary classrooms introducing double-digit numbers. It bridges the gap between counting individual objects and understanding the efficiency of the base-ten system. Teachers can use this to reinforce why numbers are aligned by place value during addition and to support students who struggle with the difference between the value of a digit (e.g., the '3' meaning 30) and the digit itself.