Representing an Array with a Multiplication Equation
Representing an Array with a Multiplication Equation is a Grade 3 math skill from Eureka Math connecting the visual array model to formal multiplication notation. A multiplication equation (rows) × (items per row) = product represents an array, while a multiplication expression lacks the equals sign. For example, 3 rows of 5 circles is written as the expression 3 × 5 and the equation 3 × 5 = 15. Understanding the distinction between expression and equation—and connecting both to arrays—builds precise mathematical language alongside conceptual understanding.
Key Concepts
A multiplication equation represents an array by showing the number of rows multiplied by the number of objects in each row, which equals the total number of objects (the product). $$(\text{number of rows}) \times (\text{number in each row}) = \text{product}$$ A multiplication expression does not have an equals sign (e.g., $3 \times 5$), while an equation does (e.g., $3 \times 5 = 15$).
Common Questions
How do you write a multiplication equation for an array?
Write (number of rows) × (number per row) = total. For example, an array with 4 rows of 6 gives the equation 4 × 6 = 24.
What is the difference between a multiplication expression and a multiplication equation?
An expression like 3 × 5 shows the multiplication without a result. An equation like 3 × 5 = 15 includes the equal sign and shows that the expression equals 15.
How does an array with 2 rows and 9 columns relate to multiplication?
The array represents 2 × 9. The equation is 2 × 9 = 18. The array has 18 total objects, confirming the product.
What does each part of the multiplication equation (rows × per row = total) represent in an array?
Rows = the first factor. Items per row = the second factor. Total = the product. Each reflects a physical dimension or count in the array.
In which textbook is Representing an Array with a Multiplication Equation taught?
This skill is taught in Eureka Math, Grade 3.