An array can be used to represent a multiplication sentence.
| The number of rows is the first factor. |
| The number of columns is the second factor. |
| The total number of objects is the product. |
The same array can be also be used to represent a related division sentence.
| The total number of objects is the dividend. |
| The number of rows is either the divisor or the quotient. |
| The number of columns is either the quotient or the divisor. |
The product of two whole numbers can be represented by an array where the first factor is the number of rows, the second factor is the number of columns, and the product is the total number of objects.
The array shown has 10 rows, 12 columns, and 120 total dots.
So, the array represents 10 × 12 = 120.
The product of two whole numbers can be represented by an area model where the two factors are the rectangle's dimensions and the product is the area of the rectangle.
A related division problem can also be represented by the area model, where the area is the dividend and the rectangle's dimensions are the divisor and quotient.
The area model has an area of 100 square units and dimensions of 10 units by 10 units.
The divisor is 10, so the quotient is 10.