Max Maths, Year 5, Learn together, Multiplying numbers by 10 or 100 (2)

In the Max Maths Year 5 curriculum, students explore the concept of multiplying numbers by 10 or 100. One example provided is multiplying 203 by 100. This mathematical operation increases the number by a factor of 100, effectively making it 100 times larger. To visually represent this transformation, a place-value table is used. In the table, each digit moves two places to the left, indicating the increase in value. The number 203, when multiplied by 100, shifts from the 'hundreds' column to the 'ten thousands' column, resulting in the number 20,300. This visual aid helps students understand how the place-value system works and the effect of multiplication by powers of 10 on the positioning of digits.

Another example is multiplying 3,400 by 10. This process makes the number 10 times bigger than its original value. The place-value table once again serves as a helpful tool to illustrate the change. Each digit in the number 3,400 moves one place to the left when multiplied by 10. The 'thousands' digit becomes 'ten thousands', and the 'hundreds' digit becomes 'thousands', thus transforming the original number into 34,000. The place-value table clearly shows the new positions of the digits, reinforcing the students' understanding of the multiplication process and the significance of each digit's place in a number.