UsingMatrixModel
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Matrix models break down multiplication problems into simpler parts by placing the tens and ones values of each number into a grid. The values are then multiplied in each box and summed to obtain the final answer. An example problem shows 96 x 23 broken into 90 x 20, 6 x 20, 90 x 3, and 6 x 3 in the boxes, which are then added to get the solution of 2208.
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- 1. Matrix models are used in Common Core mathematics for multiplication problems. They help break up the equation into simpler parts, and the sum of these individual parts is the answer. Here is a basic one with what will go in each box: Tens Value of First Number Ones Value of First Number Tens Value of Second Number Ones Value of Second Number From this step, the multiplication is done in each of the four open boxes with the two values that would meet there, much like a traditional times table. Tens Value of First Number (Tens₁) Ones Value of First Number (Ones₁) Tens Value of Second Number (Tens₂) Tens₁ x Tens₂ Ones₁ x Tens₂ Ones Value of Second Number (Ones₂) Tens₁ x Ones₂ Ones₁ x Ones₂ The products of each individual equation are then added, which produces the final answer. Tens₁ x Tens₂ Ones₁ x Tens₂ Tens₁ x Ones₂ + Ones₁ x Ones₂ Final Answer
- 2. Here is an example problem of how to use a matrix model. 96 x 23 = ? 90 6 20 Tens₁ x Tens₂ Ones₁ x Tens₂ 3 Tens₁ x Ones₂ Ones₁ x Ones₂ 90 6 20 1800 120 3 270 18 1800 120 270 + 18 2208