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Solve equal-group multiplication problems

Equal-group multiplication problems represent a situation in which a known number of equal-sized groups is combined to find a total, modeled as groups × objects per group = total. The learner identifies the two factors, represents their relationship with an array, bar model, or equation, and solves whole-number problems with products generally within 100, recognizing that unequal groups or fractional, decimal, and much larger-number cases are outside this scope.

Detailed Explanation: Solve equal-group multiplication problems

When a problem has the same number of objects in each group, use multiplication.

Follow these steps:

  1. Find the number of equal groups.
  2. Find the number of objects in each group.
  3. Multiply:
groups×objects in each group=total\text{groups} \times \text{objects in each group}=\text{total}

Example:
There are 4 bags. Each bag has 6 apples. How many apples are there altogether?

  • Number of groups: 44 bags
  • Objects in each group: 66 apples

You can show the groups as an array:

🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎\begin{array}{cccccc} \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎}\\ \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎}\\ \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎}\\ \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} & \text{🍎} \end{array}

There are 4 rows of 6 apples, so write:

4×6=244 \times 6 = 24

There are 24 apples altogether.

Learn by doing: Solve equal-group multiplication problems

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