Final answer:
Recognizing when to use division in problem-solving involves considering equal sharing or distribution of items and finding the ratio or rate of change between quantities.
Step-by-step explanation:
Recognizing when to use division in problem-solving involves understanding the underlying concepts and the relationship between the numbers involved. One way to recognize the need for division is when you have a problem that involves the sharing or distribution of items in equal parts. For example, if you need to divide a cake among a certain number of people or distribute a certain amount of money equally among a group, division would be the appropriate operation to use.
Another situation in which division is used is when you have a problem that involves finding the ratio or rate of change between two quantities. For instance, if you want to calculate the speed of an object by dividing the distance traveled by the time taken, division would be the operation to use.
In summary, recognizing when to use division involves considering whether the problem involves equal sharing or distribution of items or finding the ratio or rate of change between quantities.