This lesson will help you develop an understanding of division by:
• representing and explaining division using equal sharing
• representing and explaining division using equal grouping
• relating division to repeated subtraction
• relating division to multiplication.
In the sharing situation, some known quantity (amount) is shared equally among a known number of entities (people, boxes, packages, etc.). What is not known in a sharing situation is the amount of the given quantity per share. The quotient in this situation represents the amount per share, the size of each share or the unit rate.
In a grouping situation, the unknown is the number of groups of a given size that can be made from a given quantity (amount). The quotient in this situation tells how many groups
of the specified size can be made from the given quantity
This video shows division by grouping.
To divide using repeated subtraction, subtract equal groups from the total until you reach 0. Division is a shortcut for repeated subtraction.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
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