Divide whole numbers by multiples of 10 using place value and the language “ten times smaller”

Understanding the concept of division by 10 is crucial for students, and the CanDoMaths ArithmeKit provides engaging activities to help them grasp this idea. One of the key exercises involves matching numbers that are ten times smaller than their counterparts. For example, students are asked to find the number that is ten times smaller than 740, which is 74. This activity reinforces the concept that dividing by 10 makes a number ten times smaller, essentially moving each digit one place to the right in the place value system. To deepen understanding, students use base 10 resources or place value counters to visually represent the process of division by 10. They practice with numbers like 30, 40, and 50, as well as larger numbers such as 300, 400, and 500, observing the consistent pattern that emerges.

In addition to the matching activity, the ArithmeKit challenges students with problems that involve negative numbers and division by 10. They are encouraged to use all digits from 0 to 9 to create true statements, further solidifying their understanding of place value. For instance, students must correct Coco's misconception that 35 cannot be divided by 10 because it lacks a zero to 'cross off.' By filling in the missing digits in various equations, such as "- 60 ÷ 10 = 1 - 8," students demonstrate that each digit's value becomes ten times smaller after division by 10. This exercise not only enhances their numerical reasoning but also dispels common misunderstandings about division and place value.