How to Divide Decimals by Multiples of Ten

MatholiaChannel

This math tutorial demonstrates a strategic method for dividing decimals by multiples of ten (e.g., 30, 70). The video breaks down the process into two manageable steps: first dividing by the single-digit factor (e.g., 3 or 7) using long division, and then dividing by 10 by shifting the decimal point. Two complete examples are worked through step-by-step, providing a clear visual model for students to follow. The video explores key themes of decomposing numbers, understanding place value, and using the properties of division to simplify complex problems. It reinforces the concept that dividing by a multiple of ten is equivalent to sequential division by its factors. The visual representation of long division on a 'sticky note' graphic helps isolate the calculation steps from the conceptual steps. For educators, this video serves as an excellent instructional tool for 5th and 6th-grade math classrooms. It offers an alternative strategy to standard long division with two-digit divisors, which can often be overwhelming for students. By decomposing the divisor, the method simplifies the mental load and reinforces the 'powers of ten' rules for decimal shifting, making it a valuable resource for building both procedural fluency and conceptual understanding.