What Is an Array in Math?
An array is a set of objects arranged in equal rows and equal columns.
A 3 × 4 array has 3 rows and 4 columns:
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Count the objects: 12. So 3 × 4 = 12.
Why arrays matter
Arrays make multiplication visual. Instead of memorizing 3 × 4 = 12 as an abstract fact, your child can see it: 3 rows of 4 is 12.
What arrays show
The commutative property: A 3 × 4 array and a 4 × 3 array both have 12 objects, but they look different:
3 × 4:
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4 × 3:
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Same total, different arrangement. This shows why 3 × 4 = 4 × 3.
Connection to area: A rectangle that is 3 units tall and 4 units wide has area 12 square units, the same as a 3 × 4 array. Area is multiplication visualized.
Connection to division: "12 objects arranged in 3 equal rows, how many in each row?" 12 ÷ 3 = 4.
Related concepts
- Equal groups and arrays: full teaching guide
- Area model: arrays applied to multi-digit multiplication
- Fact families: arrays show both multiplication and division